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Volumn , Issue , 2010, Pages 325-367

Pattern Formation and Time Delayed Feedback Control at the Nanoscale

Author keywords

Coherence resonance; Double barrier resonant tunneling diode (DBRT); Hopf bifurcation; Interspike interval; Negative differential conductivity (NDC); Noise induced oscillations; Saddle node infinite period bifurcation (SNIPER); Superlattice; Time delayed feedback control; Traveling high field domain

Indexed keywords


EID: 84885524595     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527629374.ch12     Document Type: Chapter
Times cited : (10)

References (102)
  • 1
    • 0003994617 scopus 로고
    • Synergetics, An Introduction
    • Springer, Berlin, 3rd edn.
    • Haken, H. (1983) Synergetics, An Introduction, Springer, Berlin, 3rd edn.
    • (1983)
    • Haken, H.1
  • 2
    • 0003872810 scopus 로고
    • Advanced Synergetics
    • Springer, Berlin, 2nd edn.
    • Haken, H. (1987) Advanced Synergetics, Springer, Berlin, 2nd edn.
    • (1987)
    • Haken, H.1
  • 3
    • 0003531293 scopus 로고
    • Foundations of Synergetics
    • Springer, Berlin, 2nd edn.
    • Mikhailov, A.S. (1994) Foundations of Synergetics Vol. I, Springer, Berlin, 2nd edn.
    • (1994) , vol.1
    • Mikhailov, A.S.1
  • 4
    • 85115696983 scopus 로고    scopus 로고
    • Analysis and control of complex nonlinear processes in physics, chemistry and biology
    • (eds), World Scientific, Singapore
    • Schimansky-Geier, L., Fiedler, B., Kurths, J., and Schöll, E. (eds) (2007) Analysis and control of complex nonlinear processes in physics, chemistry and biology, World Scientific, Singapore.
    • (2007)
    • Schimansky-geier, L.1    Fiedler, B.2    Kurths, J.3    Schöll, E.4
  • 5
    • 84889266302 scopus 로고    scopus 로고
    • Reviews of Nonlinear Dynamics and Complexity
    • (ed.), Wiley-VCH Verlag, Weinheim
    • Schuster, H.G. (ed.) (2008) Reviews of Nonlinear Dynamics and Complexity, Wiley-VCH Verlag, Weinheim.
    • (2008)
    • Schuster, H.G.1
  • 6
    • 0003900277 scopus 로고
    • Nonequilibrium Phase Transitions in Semiconductors
    • Springer, Berlin
    • Schöll, E. (1987) Nonequilibrium Phase Transitions in Semiconductors, Springer, Berlin.
    • (1987)
    • Schöll, E.1
  • 7
    • 0003818034 scopus 로고
    • The Physics of Instabilities in Solid State Electron Devices
    • Plenum Press, New York
    • Shaw, M.P., Mitin, V.V., Schöll, E., and Grubin, H.L. (1992) The Physics of Instabilities in Solid State Electron Devices, Plenum Press, New York.
    • (1992)
    • Shaw, M.P.1    Mitin, V.V.2    Schöll, E.3    Grubin, H.L.4
  • 8
    • 0004068142 scopus 로고    scopus 로고
    • Nonlinear spatio-temporal dynamics and chaos in semiconductors
    • Cambridge Univ. Press, Cambridge
    • Schöll, E. (2001) Nonlinear spatio-temporal dynamics and chaos in semiconductors, Cambridge Univ. Press, Cambridge.
    • (2001)
    • Schöll, E.1
  • 9
    • 59349086091 scopus 로고    scopus 로고
    • Semiconductor Nanostructures
    • Springer, Berlin
    • Bimberg, D. (2008) Semiconductor Nanostructures, Springer, Berlin.
    • (2008)
    • Bimberg, D.1
  • 10
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin, A.L. and Huxley, A.F. (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol., 117, 500.
    • (1952) J. Physiol. , vol.117 , pp. 500
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 11
    • 0004252960 scopus 로고
    • Encounter with Chaos
    • Springer, Berlin, Heidelberg
    • Peinke, J., Parisi, J., Rössler, O.E., and Stoop, R. (1992) Encounter with Chaos, Springer, Berlin, Heidelberg.
    • (1992)
    • Peinke, J.1    Parisi, J.2    Rössler, O.E.3    Stoop, R.4
  • 12
    • 0003858523 scopus 로고
    • Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices
    • (ed.), Springer, Berlin
    • Niedernostheide, F.J. (ed.) (1995) Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices, Springer, Berlin.
    • (1995)
    • Niedernostheide, F.J.1
  • 13
    • 85059716143 scopus 로고    scopus 로고
    • Nonlinear dynamics and chaos in semiconductors
    • Institute of Physics Publishing, Bristol
    • Aoki, K. (2000) Nonlinear dynamics and chaos in semiconductors, Institute of Physics Publishing, Bristol.
    • (2000)
    • Aoki, K.1
  • 14
    • 84889283432 scopus 로고    scopus 로고
    • Handbook of Chaos Control
    • (eds), Wiley-VCH Verlag, Weinheim, 2nd edition
    • Schöll, E. and Schuster, H.G. (eds) (2008) Handbook of Chaos Control, Wiley-VCH Verlag, Weinheim, 2nd edition.
    • (2008)
    • Schöll, E.1    Schuster, H.G.2
  • 15
    • 0003478284 scopus 로고    scopus 로고
    • Nonlinear Dynamical Control Systems
    • Springer, New York, 3rd edn.
    • Nijmeijer, H. and Schaft, A.V.D. (1996) Nonlinear Dynamical Control Systems, Springer, New York, 3rd edn.
    • (1996)
    • Nijmeijer, H.1    Schaft, A.V.D.2
  • 16
    • 0003564548 scopus 로고    scopus 로고
    • Modern Control Engineering
    • Prentice-Hall, New York
    • Ogata, K. (1997) Modern Control Engineering, Prentice-Hall, New York.
    • (1997)
    • Ogata, K.1
  • 17
    • 0003769467 scopus 로고    scopus 로고
    • Nonlinear and Adaptive Control of Complex Systems
    • Kluwer, Dordrecht
    • Fradkov, A.L., Miroshnik, I.V., and Nikiforov, V.O. (1999) Nonlinear and Adaptive Control of Complex Systems, Kluwer, Dordrecht.
    • (1999)
    • Fradkov, A.L.1    Miroshnik, I.V.2    Nikiforov, V.O.3
  • 19
    • 34250315551 scopus 로고
    • Continuous control of chaos by self-controlling feedback
    • Pyragas, K. (1992) Continuous control of chaos by self-controlling feedback. Phys. Lett. A, 170, 421.
    • (1992) Phys. Lett. A , vol.170 , pp. 421
    • Pyragas, K.1
  • 20
    • 3442889067 scopus 로고    scopus 로고
    • Delayed feedback as a means of control of noise-induced motion
    • Janson, N.B., Balanov, A.G., and Schöll, E. (2004) Delayed feedback as a means of control of noise-induced motion. Phys. Rev. Lett., 93, 010601.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 010601
    • Janson, N.B.1    Balanov, A.G.2    Schöll, E.3
  • 21
    • 23444438881 scopus 로고    scopus 로고
    • Mean field approximation of timedelayed feedback control of noise-induced oscillations in the Van der Pol system
    • Pomplun, J., Amann, A., and Schöll, E. (2005) Mean field approximation of timedelayed feedback control of noise-induced oscillations in the Van der Pol system. Europhys. Lett., 71, 366.
    • (2005) Europhys. Lett. , vol.71 , pp. 366
    • Pomplun, J.1    Amann, A.2    Schöll, E.3
  • 22
    • 4244202604 scopus 로고
    • Stochastic resonance without external periodic force
    • Hu, G., Ditzinger, T., Ning, C.Z., and Haken, H. (1993) Stochastic resonance without external periodic force. Phys. Rev. Lett., 71, 807.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 807
    • Hu, G.1    Ditzinger, T.2    Ning, C.Z.3    Haken, H.4
  • 23
    • 0000912646 scopus 로고    scopus 로고
    • Coherence resonance in a noise-driven excitable system
    • Pikovsky, A. and Kurths, J. (1997) Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett., 78, 775.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 775
    • Pikovsky, A.1    Kurths, J.2
  • 24
    • 0003549081 scopus 로고    scopus 로고
    • Noise in Spatially Extended Systems
    • Springer, New York
    • García-Ojalvo, J. and Sancho, J.M. (1999) Noise in Spatially Extended Systems, Springer, New York.
    • (1999)
    • García-ojalvo, J.1    Sancho, J.M.2
  • 27
    • 0001533892 scopus 로고
    • Stabilizing unstable periodic orbits in fast dynamical systems
    • Socolar, J.E.S., Sukow, D.W., and Gauthier, D.J. (1994) Stabilizing unstable periodic orbits in fast dynamical systems. Phys. Rev. E, 50, 3245.
    • (1994) Phys. Rev. E , vol.50 , pp. 3245
    • Socolar, J.E.S.1    Sukow, D.W.2    Gauthier, D.J.3
  • 28
    • 0003031024 scopus 로고    scopus 로고
    • Stability of periodic orbits controlled by time-delay feedback
    • Bleich, M.E. and Socolar, J.E.S. (1996) Stability of periodic orbits controlled by time-delay feedback. Phys. Lett. A, 210, 87.
    • (1996) Phys. Lett. A , vol.210 , pp. 87
    • Bleich, M.E.1    Socolar, J.E.S.2
  • 30
    • 0040644311 scopus 로고    scopus 로고
    • On analytical properties of delayed feedback control of chaos
    • Nakajima, H. (1997) On analytical properties of delayed feedback control of chaos. Phys. Lett. A, 232, 207.
    • (1997) Phys. Lett. A , vol.232 , pp. 207
    • Nakajima, H.1
  • 31
    • 41349101500 scopus 로고    scopus 로고
    • Analytical properties and optimization of time-delayed feedback control
    • Pyragas, K. (2002) Analytical properties and optimization of time-delayed feedback control. Phys. Rev. E, 66, 26207.
    • (2002) Phys. Rev. E , vol.66 , pp. 26207
    • Pyragas, K.1
  • 32
    • 33646979981 scopus 로고    scopus 로고
    • Control of chaos by time-delayed feedback: a survey of theoretical and experimental aspects
    • in Advances in Solid State Physics, (ed. B. Kramer), Springer, Berlin
    • Just, W., Benner, H., and Schöll, E. (2003) Control of chaos by time-delayed feedback: a survey of theoretical and experimental aspects, in Advances in Solid State Physics, (ed. B. Kramer), Springer, Berlin, Vol. 43, pp. 589-603.
    • (2003) , vol.43 , pp. 589-603
    • Just, W.1    Benner, H.2    Schöll, E.3
  • 33
    • 0242579519 scopus 로고    scopus 로고
    • Stability domains for time-delay feedback control with latency
    • Hövel, P. and Socolar, J.E.S. (2003) Stability domains for time-delay feedback control with latency. Phys. Rev. E, 68, 036206.
    • (2003) Phys. Rev. E , vol.68 , pp. 036206
    • Hövel, P.1    Socolar, J.E.S.2
  • 34
    • 28844506074 scopus 로고    scopus 로고
    • Control of unstable steady states by timedelayed feedback methods
    • Hövel, P. and Schöll, E. (2005) Control of unstable steady states by timedelayed feedback methods. Phys. Rev. E, 72, 046203.
    • (2005) Phys. Rev. E , vol.72 , pp. 046203
    • Hövel, P.1    Schöll, E.2
  • 35
    • 33845612304 scopus 로고    scopus 로고
    • Control of unstable steady states by long delay feedback
    • Yanchuk, S., Wolfrum, M., Hövel, P., and Schöll, E. (2006) Control of unstable steady states by long delay feedback. Phys. Rev. E, 74, 026201.
    • (2006) Phys. Rev. E , vol.74 , pp. 026201
    • Yanchuk, S.1    Wolfrum, M.2    Hövel, P.3    Schöll, E.4
  • 36
    • 55849130763 scopus 로고    scopus 로고
    • Control of unstable steady states by extended time-delayed feedback
    • Dahms, T., Hövel, P., and Schöll, E. (2007) Control of unstable steady states by extended time-delayed feedback. Phys. Rev. E, 76, 056201.
    • (2007) Phys. Rev. E , vol.76 , pp. 056201
    • Dahms, T.1    Hövel, P.2    Schöll, E.3
  • 37
    • 33750458317 scopus 로고    scopus 로고
    • Some basic remarks on eigenmode expansions of time-delay dynamics
    • Amann, A., Schöll, E., and Just, W. (2007) Some basic remarks on eigenmode expansions of time-delay dynamics. Physica A, 373, 191.
    • (2007) Physica A , vol.373 , pp. 191
    • Amann, A.1    Schöll, E.2    Just, W.3
  • 38
    • 33947278299 scopus 로고    scopus 로고
    • Refuting the odd number limitation of timedelayed feedback control
    • Fiedler, B., Flunkert, V., Georgi, M., Hövel, P., and Schöll, E. (2007) Refuting the odd number limitation of timedelayed feedback control. Phys. Rev. Lett., 98, 114101.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 114101
    • Fiedler, B.1    Flunkert, V.2    Georgi, M.3    Hövel, P.4    Schöll, E.5
  • 39
    • 34547934829 scopus 로고    scopus 로고
    • Beyond odd number limitation: a bifurcation analysis of time-delayed feedback control
    • Just, W., Fiedler, B., Flunkert, V., Georgi, M., Hövel, P. and Schöll, E. (2007) Beyond odd number limitation: a bifurcation analysis of time-delayed feedback control. Phys. Rev. E, 76, 026210.
    • (2007) Phys. Rev. E , vol.76 , pp. 026210
    • Just, W.1    Fiedler, B.2    Flunkert, V.3    Georgi, M.4    Hövel, P.5    Schöll, E.6
  • 40
    • 44949200077 scopus 로고    scopus 로고
    • Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser
    • Fiedler, B., Yanchuk, S., Flunkert, V., Hövel, P., Wünsche, H.J., and Schöll, E. (2008) Delay stabilization of rotating waves near fold bifurcation and application to all-optical control of a semiconductor laser. Phys. Rev. E, 77, 066207.
    • (2008) Phys. Rev. E , vol.77 , pp. 066207
    • Fiedler, B.1    Yanchuk, S.2    Flunkert, V.3    Hövel, P.4    Wünsche, H.J.5    Schöll, E.6
  • 41
    • 37649032583 scopus 로고    scopus 로고
    • Delayed feedback control of chaos: Bifurcation analysis
    • Balanov, A.G., Janson, N.B., and Schöll, E. (2005) Delayed feedback control of chaos: Bifurcation analysis. Phys. Rev. E, 71, 016222.
    • (2005) Phys. Rev. E , vol.71 , pp. 016222
    • Balanov, A.G.1    Janson, N.B.2    Schöll, E.3
  • 42
    • 50949131739 scopus 로고    scopus 로고
    • Delay-induced multistability near a global bifurcation
    • Hizanidis, J., Aust, R., and Schöll, E. (2008) Delay-induced multistability near a global bifurcation. Int. J. Bifur. Chaos, 18, 1759.
    • (2008) Int. J. Bifur. Chaos , vol.18 , pp. 1759
    • Hizanidis, J.1    Aust, R.2    Schöll, E.3
  • 43
    • 84956089611 scopus 로고
    • Tunable semiconductor oscillator based on self-control of chaos in the dynamic Hall effect
    • Schöll, E. and Pyragas, K. (1993) Tunable semiconductor oscillator based on self-control of chaos in the dynamic Hall effect. Europhys. Lett., 24, 159.
    • (1993) Europhys. Lett. , vol.24 , pp. 159
    • Schöll, E.1    Pyragas, K.2
  • 44
    • 0040695503 scopus 로고
    • Oscillation modes, transient chaos and its control in a modulation-doped semiconductor double-heterostructure
    • Reznik, D. and Schöll, E. (1993) Oscillation modes, transient chaos and its control in a modulation-doped semiconductor double-heterostructure. Z. Phys. B, 91, 309.
    • (1993) Z. Phys. B , vol.91 , pp. 309
    • Reznik, D.1    Schöll, E.2
  • 45
    • 21844507422 scopus 로고
    • Tunable real space transfer oscillator by delayed feedback control of chaos
    • Cooper, D.P. and Schöll, E. (1995) Tunable real space transfer oscillator by delayed feedback control of chaos. Z. Naturforsch., 50a, 117.
    • (1995) Z. Naturforsch. , vol.50 a , pp. 117
    • Cooper, D.P.1    Schöll, E.2
  • 46
    • 1442281402 scopus 로고    scopus 로고
    • Self-stabilization of high frequency oscillations in semiconductor superlattices by time-delay autosynchronization
    • Schlesner, J., Amann, A., Janson, N.B., Just, W., and Schöll, E. (2003) Self-stabilization of high frequency oscillations in semiconductor superlattices by time-delay autosynchronization. Phys. Rev. E, 68, 066208.
    • (2003) Phys. Rev. E , vol.68 , pp. 066208
    • Schlesner, J.1    Amann, A.2    Janson, N.B.3    Just, W.4    Schöll, E.5
  • 47
    • 0000226929 scopus 로고    scopus 로고
    • Control of chaotic spatiotemporal spiking by time-delay autosynchronisation
    • Franceschini, G., Bose, S., and Schöll, E. (1999) Control of chaotic spatiotemporal spiking by time-delay autosynchronisation. Phys. Rev. E, 60, 5426.
    • (1999) Phys. Rev. E , vol.60 , pp. 5426
    • Franceschini, G.1    Bose, S.2    Schöll, E.3
  • 48
    • 37649031662 scopus 로고    scopus 로고
    • Comparison of time-delayed feedback schemes for spatio-temporal control of chaos in a reaction-diffusion system with global coupling
    • Beck, O., Amann, A., Schöll, E., Socolar, J.E.S., and Just, W. (2002) Comparison of time-delayed feedback schemes for spatio-temporal control of chaos in a reaction-diffusion system with global coupling. Phys. Rev. E, 66, 016213.
    • (2002) Phys. Rev. E , vol.66 , pp. 016213
    • Beck, O.1    Amann, A.2    Schöll, E.3    Socolar, J.E.S.4    Just, W.5
  • 49
    • 45849155071 scopus 로고    scopus 로고
    • Giant improvement of time-delayed feedback control by spatiotemporal filtering
    • Baba, N., Amann, A., Schöll, E., and Just, W. (2002) Giant improvement of time-delayed feedback control by spatiotemporal filtering. Phys. Rev. Lett., 89, 074101.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 074101
    • Baba, N.1    Amann, A.2    Schöll, E.3    Just, W.4
  • 50
    • 0038400143 scopus 로고    scopus 로고
    • Improvement of time-delayed feedback control by periodic modulation: Analytical theory of Floquet mode control scheme
    • Just, W., Popovich, S., Amann, A., Baba, N., and Schöll, E. (2003) Improvement of time-delayed feedback control by periodic modulation: Analytical theory of Floquet mode control scheme. Phys. Rev. E, 67, 026222.
    • (2003) Phys. Rev. E , vol.67 , pp. 026222
    • Just, W.1    Popovich, S.2    Amann, A.3    Baba, N.4    Schöll, E.5
  • 51
    • 42749098304 scopus 로고    scopus 로고
    • Time-delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes
    • Unkelbach, J., Amann, A., Just, W., and Schöll, E. (2003) Time-delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes. Phys. Rev. E, 68, 026204.
    • (2003) Phys. Rev. E , vol.68 , pp. 026204
    • Unkelbach, J.1    Amann, A.2    Just, W.3    Schöll, E.4
  • 52
    • 9644273883 scopus 로고    scopus 로고
    • Control of noise-induced oscillations by delayed feedback
    • Balanov, A.G., Janson, N.B., and Schöll, E. (2004) Control of noise-induced oscillations by delayed feedback. Physica D, 199, 1.
    • (2004) Physica D , vol.199 , pp. 1
    • Balanov, A.G.1    Janson, N.B.2    Schöll, E.3
  • 53
    • 23444450723 scopus 로고    scopus 로고
    • Controlling stochastic oscillations close to a Hopf bifurcation by time-delayed feedback
    • Schöll, E., Balanov, A.G., Janson, N.B., and Neiman, A. (2005) Controlling stochastic oscillations close to a Hopf bifurcation by time-delayed feedback. Stoch. Dyn., 5, 281.
    • (2005) Stoch. Dyn. , vol.5 , pp. 281
    • Schöll, E.1    Balanov, A.G.2    Janson, N.B.3    Neiman, A.4
  • 54
    • 33751016801 scopus 로고    scopus 로고
    • Noise-induced cooperative dynamics and its control in coupled neuron models
    • Hauschildt, B., Janson, N.B., Balanov, A.G., and Schöll, E. (2006) Noise-induced cooperative dynamics and its control in coupled neuron models. Phys. Rev. E, 74, 051906.
    • (2006) Phys. Rev. E , vol.74 , pp. 051906
    • Hauschildt, B.1    Janson, N.B.2    Balanov, A.G.3    Schöll, E.4
  • 55
    • 33746622536 scopus 로고    scopus 로고
    • Delayed feedback control of noise-induced patterns in excitable media
    • Balanov, A.G., Beato, V., Janson, N.B., Engel, H., and Schöll, E. (2006) Delayed feedback control of noise-induced patterns in excitable media. Phys. Rev. E, 74, 016214.
    • (2006) Phys. Rev. E , vol.74 , pp. 016214
    • Balanov, A.G.1    Beato, V.2    Janson, N.B.3    Engel, H.4    Schöll, E.5
  • 56
    • 36849061591 scopus 로고    scopus 로고
    • Suppressing noise-induced intensity pulsations in semiconductor lasers by means of time-delayed feedback
    • Flunkert, V. and Schöll, E. (2007) Suppressing noise-induced intensity pulsations in semiconductor lasers by means of time-delayed feedback. Phys. Rev. E, 76, 066202.
    • (2007) Phys. Rev. E , vol.76 , pp. 066202
    • Flunkert, V.1    Schöll, E.2
  • 57
    • 34047122143 scopus 로고    scopus 로고
    • Long-term correlations in stochastic systems with extended time-delayed feedback
    • Pomplun, J., Balanov, A.G., and Schöll, E. (2007) Long-term correlations in stochastic systems with extended time-delayed feedback. Phys. Rev. E, 75, 040101(R).
    • (2007) Phys. Rev. E , vol.75
    • Pomplun, J.1    Balanov, A.G.2    Schöll, E.3
  • 58
    • 34548224095 scopus 로고    scopus 로고
    • Increase of coherence in excitable systems by delayed feedback
    • Prager, T., Lerch, H.P., Schimansky-Geier, L., and Schöll, E. (2007) Increase of coherence in excitable systems by delayed feedback. J. Phys. A, 40, 11045.
    • (2007) J. Phys. A , vol.40 , pp. 11045
    • Prager, T.1    Lerch, H.P.2    Schimansky-geier, L.3    Schöll, E.4
  • 59
    • 33748281142 scopus 로고    scopus 로고
    • Noise-induced oscillations and their control in semiconductor superlattices
    • Hizanidis, J., Balanov, A.G., Amann, A., and Schöll, E. (2006) Noise-induced oscillations and their control in semiconductor superlattices. Int. J. Bifur. Chaos, 16, 1701.
    • (2006) Int. J. Bifur. Chaos , vol.16 , pp. 1701
    • Hizanidis, J.1    Balanov, A.G.2    Amann, A.3    Schöll, E.4
  • 60
    • 45749145464 scopus 로고    scopus 로고
    • Control of noise-induced spatiotemporal patterns in superlattices
    • Hizanidis, J. and Schöll, E. (2008) Control of noise-induced spatiotemporal patterns in superlattices. Phys. Status. Solidi. (c), 5, 207.
    • (2008) Phys. Status. Solidi. (c) , vol.5 , pp. 207
    • Hizanidis, J.1    Schöll, E.2
  • 61
    • 67649414958 scopus 로고    scopus 로고
    • Stabilisation of complex spatiotemporal dynamics near a subcritical Hopf bifurcation
    • Kehrt, M., Hövel, P., Rodin, P., and Schöll, E. (2009) Stabilisation of complex spatiotemporal dynamics near a subcritical Hopf bifurcation. Eur. Phys. J. B, 68, 557.
    • (2009) Eur. Phys. J. B , vol.68 , pp. 557
    • Kehrt, M.1    Hövel, P.2    Rodin, P.3    Schöll, E.4
  • 62
    • 32844469724 scopus 로고    scopus 로고
    • Delayed feedback control of stochastic spatiotemporal dynamics in a resonant tunneling diode
    • Stegemann, G., Balanov, A.G., and Schöll, E. (2006) Delayed feedback control of stochastic spatiotemporal dynamics in a resonant tunneling diode. Phys. Rev. E, 73, 016203.
    • (2006) Phys. Rev. E , vol.73 , pp. 016203
    • Stegemann, G.1    Balanov, A.G.2    Schöll, E.3
  • 63
    • 45749118679 scopus 로고    scopus 로고
    • Extended time delayed feedback control of stochastic dynamics in a resonant tunneling diode
    • Schöll, E., Majer, N., and Stegemann, G. (2008) Extended time delayed feedback control of stochastic dynamics in a resonant tunneling diode. Phys. Status. Solidi. (c), 5, 194.
    • (2008) Phys. Status. Solidi. (c) , vol.5 , pp. 194
    • Schöll, E.1    Majer, N.2    Stegemann, G.3
  • 64
    • 0037092770 scopus 로고    scopus 로고
    • Chaotic front dynamics in semiconductor superlattices
    • Amann, A., Schlesner, J., Wacker, A., and Schöll, E. (2002) Chaotic front dynamics in semiconductor superlattices. Phys. Rev. B, 65, 193313.
    • (2002) Phys. Rev. B , vol.65 , pp. 193313
    • Amann, A.1    Schlesner, J.2    Wacker, A.3    Schöll, E.4
  • 65
    • 0141564666 scopus 로고    scopus 로고
    • Hybrid model for chaotic front dynamics: From semiconductors to water tanks
    • Amann, A., Peters, K., Parlitz, U., Wacker, A., and Schöll, E. (2003) Hybrid model for chaotic front dynamics: From semiconductors to water tanks. Phys. Rev. Lett., 91, 066601.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 066601
    • Amann, A.1    Peters, K.2    Parlitz, U.3    Wacker, A.4    Schöll, E.5
  • 66
    • 23744488689 scopus 로고    scopus 로고
    • Bifurcations in a system of interacting fronts
    • Amann, A. and Schöll, E. (2005) Bifurcations in a system of interacting fronts. J. Stat. Phys., 119, 1069.
    • (2005) J. Stat. Phys. , vol.119 , pp. 1069
    • Amann, A.1    Schöll, E.2
  • 67
    • 33745295460 scopus 로고    scopus 로고
    • Noise-induced front motion: signature of a global bifurcation
    • Hizanidis, J., Balanov, A.G., Amann, A., and Schöll, E. (2006) Noise-induced front motion: signature of a global bifurcation. Phys. Rev. Lett., 96, 244104.
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 244104
    • Hizanidis, J.1    Balanov, A.G.2    Amann, A.3    Schöll, E.4
  • 68
    • 57749092805 scopus 로고    scopus 로고
    • Control of coherence resonance in semiconductor superlattices
    • Hizanidis, J. and Schöll, E. (2009) Control of coherence resonance in semiconductor superlattices. Phys. Rev. E, 78, 066205.
    • (2009) Phys. Rev. E , vol.78 , pp. 066205
    • Hizanidis, J.1    Schöll, E.2
  • 69
    • 0036504420 scopus 로고    scopus 로고
    • Transverse spatiotemporal instabilities in the double barrier resonant tunneling diode
    • Schöll, E., Amann, A., Rudolf, M., and Unkelbach, J. (2002) Transverse spatiotemporal instabilities in the double barrier resonant tunneling diode. Physica B, 314, 113.
    • (2002) Physica B , vol.314 , pp. 113
    • Schöll, E.1    Amann, A.2    Rudolf, M.3    Unkelbach, J.4
  • 70
    • 37649033038 scopus 로고    scopus 로고
    • Noise-induced pattern formation in a semiconductor nanostructure
    • Stegemann, G., Balanov, A.G., and Schöll, E. (2005) Noise-induced pattern formation in a semiconductor nanostructure. Phys. Rev. E, 71, 016221.
    • (2005) Phys. Rev. E , vol.71 , pp. 016221
    • Stegemann, G.1    Balanov, A.G.2    Schöll, E.3
  • 71
    • 59249096794 scopus 로고    scopus 로고
    • Resonant control of stochastic spatio-temporal dynamics in a tunnel diode by multiple time delayed feedback
    • Majer, N. and Schöll, E. (2009) Resonant control of stochastic spatio-temporal dynamics in a tunnel diode by multiple time delayed feedback. Phys. Rev. E, 79, 011109.
    • (2009) Phys. Rev. E , vol.79 , pp. 011109
    • Majer, N.1    Schöll, E.2
  • 72
    • 0014707790 scopus 로고
    • Superlattice and negative differential conductivity in semiconductors
    • Esaki, L. and Tsu, R. (1970) Superlattice and negative differential conductivity in semiconductors. IBM J. Res. Dev., 14, 61.
    • (1970) IBM J. Res. Dev. , vol.14 , pp. 61
    • Esaki, L.1    Tsu, R.2
  • 76
    • 4243634103 scopus 로고    scopus 로고
    • Semiconductor superlattices: A model system for nonlinear transport
    • Wacker, A. (2002) Semiconductor superlattices: A model system for nonlinear transport. Phys. Rep., 357, 1.
    • (2002) Phys. Rep. , vol.357 , pp. 1
    • Wacker, A.1
  • 77
    • 0037090629 scopus 로고    scopus 로고
    • Theory of nonlinear charge transport, wave propagation, and self-oscillations in semiconductor superlattices
    • Bonilla, L.L. (2002) Theory of nonlinear charge transport, wave propagation, and self-oscillations in semiconductor superlattices. J. Phys.: Condens. Matter, 14, R341.
    • (2002) J. Phys.: Condens. Matter , vol.14
    • Bonilla, L.L.1
  • 78
    • 15744404674 scopus 로고    scopus 로고
    • Non-linear dynamics of semiconductor superlattices
    • Bonilla, L.L. and Grahn, H.T. (2005) Non-linear dynamics of semiconductor superlattices. Rep. Prog. Phys., 68, 577.
    • (2005) Rep. Prog. Phys. , vol.68 , pp. 577
    • Bonilla, L.L.1    Grahn, H.T.2
  • 79
    • 0001343638 scopus 로고    scopus 로고
    • Synchronization and chaos induced by resonant tunneling in GaAs/AlAs superlattices
    • Zhang, Y., Kastrup, J., Klann, R., Ploog, K.H., and Grahn, H.T. (1996) Synchronization and chaos induced by resonant tunneling in GaAs/AlAs superlattices. Phys. Rev. Lett., 77, 3001.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3001
    • Zhang, Y.1    Kastrup, J.2    Klann, R.3    Ploog, K.H.4    Grahn, H.T.5
  • 80
    • 0000088281 scopus 로고    scopus 로고
    • Explosive bifurcation to chaos in weakly coupled semiconductor superlattices
    • Luo, K.J., Grahn, H.T., Ploog, K.H., and Bonilla, L.L. (1998) Explosive bifurcation to chaos in weakly coupled semiconductor superlattices. Phys. Rev. Lett., 81, 1290.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1290
    • Luo, K.J.1    Grahn, H.T.2    Ploog, K.H.3    Bonilla, L.L.4
  • 81
    • 0001735570 scopus 로고    scopus 로고
    • Multifractal dimension of chaotic attractors in a driven semiconductor superlattice
    • Bulashenko, O.M., Luo, K.J., Grahn, H.T., Ploog, K.H., and Bonilla, L.L. (1999) Multifractal dimension of chaotic attractors in a driven semiconductor superlattice. Phys. Rev. B, 60, 5694.
    • (1999) Phys. Rev. B , vol.60 , pp. 5694
    • Bulashenko, O.M.1    Luo, K.J.2    Grahn, H.T.3    Ploog, K.H.4    Bonilla, L.L.5
  • 82
    • 0342641566 scopus 로고
    • Chaos in resonant-tunneling superlattices
    • Bulashenko, O.M. and Bonilla, L.L. (1995) Chaos in resonant-tunneling superlattices. Phys. Rev. B, 52, 7849.
    • (1995) Phys. Rev. B , vol.52 , pp. 7849
    • Bulashenko, O.M.1    Bonilla, L.L.2
  • 83
    • 84885499001 scopus 로고    scopus 로고
    • Self-generated chaotic dynamics of field domains in superlattices
    • in Proceedings of the 26th International Conference on the Physics of Semiconductors (ICPS-26), Edinburgh 2002 (eds J.H. Davies and A.R. Long)
    • Amann, A., Schlesner, J., Wacker, A., and Schöll, E. (2003) Self-generated chaotic dynamics of field domains in superlattices, in Proceedings of the 26th International Conference on the Physics of Semiconductors (ICPS-26), Edinburgh 2002 (eds J.H. Davies and A.R. Long).
    • (2003)
    • Amann, A.1    Schlesner, J.2    Wacker, A.3    Schöll, E.4
  • 84
    • 0035364074 scopus 로고    scopus 로고
    • Dynamic scenarios of multi-stable switching in semiconductor superlattices
    • Amann, A., Wacker, A., Bonilla, L.L., and Schöll, E. (2001) Dynamic scenarios of multi-stable switching in semiconductor superlattices. Phys. Rev. E, 63, 066207.
    • (2001) Phys. Rev. E , vol.63 , pp. 066207
    • Amann, A.1    Wacker, A.2    Bonilla, L.L.3    Schöll, E.4
  • 85
    • 1942516985 scopus 로고    scopus 로고
    • Self-stabilization of chaotic domain oscillations in superlattices by time-delayed feedback control
    • Schlesner, J., Amann, A., Janson, N.B., Just, W., and Schöll, E. (2004) Self-stabilization of chaotic domain oscillations in superlattices by time-delayed feedback control. Semicond. Sci. Technol., 19, S34.
    • (2004) Semicond. Sci. Technol. , vol.19
    • Schlesner, J.1    Amann, A.2    Janson, N.B.3    Just, W.4    Schöll, E.5
  • 87
    • 0004473015 scopus 로고    scopus 로고
    • Shot noise in mesoscopic conductors
    • Blanter, Y.M. and Büttiker, M. (2000) Shot noise in mesoscopic conductors. Phys. Rep., 336, 1.
    • (2000) Phys. Rep. , vol.336 , pp. 1
    • Blanter, Y.M.1    Büttiker, M.2
  • 88
    • 0003785594 scopus 로고
    • Theory of bifurcations of systems on a plane
    • Israel program for scientific translation, Jerusalem
    • Andronov, A.A., Leontovich, E.A., Gordon, I.I., and Maier, A.G. (1971) Theory of bifurcations of systems on a plane, Vol. 2., Israel program for scientific translation, Jerusalem.
    • (1971) , vol.2
    • Andronov, A.A.1    Leontovich, E.A.2    Gordon, I.I.3    Maier, A.G.4
  • 89
    • 0003478288 scopus 로고
    • Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
    • Springer, Berlin
    • Guckenheimer, J. and Holmes, P. (1986) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer, Berlin.
    • (1986)
    • Guckenheimer, J.1    Holmes, P.2
  • 90
    • 0036504004 scopus 로고    scopus 로고
    • Tripole current oscillations in superlattices
    • Amann, A., Wacker, A., and Schöll, E. (2002) Tripole current oscillations in superlattices. Physica B, 314, 404.
    • (2002) Physica B , vol.314 , pp. 404
    • Amann, A.1    Wacker, A.2    Schöll, E.3
  • 91
    • 0003783958 scopus 로고
    • Topics in the Theory of Random Noise
    • Gordon and Breach, New York
    • Stratonovich, R.L. (1963) Topics in the Theory of Random Noise, Vol. 1, Gordon and Breach, New York.
    • (1963) , vol.1
    • Stratonovich, R.L.1
  • 92
    • 40949137738 scopus 로고    scopus 로고
    • Excitable systems with noise and delay, with applications to control: Renewal theory approach
    • Pototsky, A. and Janson, N.B. (2008) Excitable systems with noise and delay, with applications to control: Renewal theory approach. Phys. Rev. E, 77, 031113.
    • (2008) Phys. Rev. E , vol.77 , pp. 031113
    • Pototsky, A.1    Janson, N.B.2
  • 93
    • 25944459748 scopus 로고
    • Observation of intrinsic bistability in resonant-tunneling structures
    • Goldman, V.J., Tsui, D.C., and Cunningham, J.E. (1987) Observation of intrinsic bistability in resonant-tunneling structures. Phys. Rev. Lett., 58, 1256.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1256
    • Goldman, V.J.1    Tsui, D.C.2    Cunningham, J.E.3
  • 94
    • 0002767152 scopus 로고    scopus 로고
    • Lateral current density fronts in globally coupled bistable semiconductors with S- or Z-shaped current voltage characteristic
    • Meixner, M., Rodin, P., Schöll, E., and Wacker, A. (2000) Lateral current density fronts in globally coupled bistable semiconductors with S- or Z-shaped current voltage characteristic. Eur. Phys. J. B, 13, 157.
    • (2000) Eur. Phys. J. B , vol.13 , pp. 157
    • Meixner, M.1    Rodin, P.2    Schöll, E.3    Wacker, A.4
  • 95
    • 0034667007 scopus 로고    scopus 로고
    • Transverse coupling in bistable resonant-tunneling structures
    • Cheianov, V., Rodin, P., and Schöll, E. (2000) Transverse coupling in bistable resonant-tunneling structures. Phys. Rev. B, 62, 9966.
    • (2000) Phys. Rev. B , vol.62 , pp. 9966
    • Cheianov, V.1    Rodin, P.2    Schöll, E.3
  • 96
    • 0038282705 scopus 로고    scopus 로고
    • Lateral current density fronts in asymmetric double-barrier resonant-tunneling structures
    • Rodin, P. and Schöll, E. (2003) Lateral current density fronts in asymmetric double-barrier resonant-tunneling structures. J. Appl. Phys., 93, 6347.
    • (2003) J. Appl. Phys. , vol.93 , pp. 6347
    • Rodin, P.1    Schöll, E.2
  • 97
    • 33947284618 scopus 로고    scopus 로고
    • Two-dimensional spatiotemporal pattern formation in the double-barrier resonant tunneling diode
    • Stegemann, G. and Schöll, E. (2007) Two-dimensional spatiotemporal pattern formation in the double-barrier resonant tunneling diode. New J. Phys., 9, 55.
    • (2007) New J. Phys. , vol.9 , pp. 55
    • Stegemann, G.1    Schöll, E.2
  • 98
    • 36448998791 scopus 로고
    • Observation of intrinsic tristability in a resonant tunneling structure
    • Martin, A.D., Lerch, M.L.F., Simmonds, P.E., and Eaves, L. (1994) Observation of intrinsic tristability in a resonant tunneling structure. Appl. Phys. Lett., 64, 1248.
    • (1994) Appl. Phys. Lett. , vol.64 , pp. 1248
    • Martin, A.D.1    Lerch, M.L.F.2    Simmonds, P.E.3    Eaves, L.4
  • 99
    • 0032023415 scopus 로고    scopus 로고
    • Stability of current filaments in a bistable semiconductor system with global coupling
    • Alekseev, A., Bose, S., Rodin, P., and Schöll, E. (1998) Stability of current filaments in a bistable semiconductor system with global coupling. Phys. Rev. E, 57, 2640.
    • (1998) Phys. Rev. E , vol.57 , pp. 2640
    • Alekseev, A.1    Bose, S.2    Rodin, P.3    Schöll, E.4


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