메뉴 건너뛰기




Volumn 17, Issue 10, 2007, Pages 3397-3407

Aperiodic nonchaotic attractors, strange and otherwise

Author keywords

Quasiperiodically forced systems; SNA; Strange nonchaotic dynamics

Indexed keywords

DYNAMICAL SYSTEMS; NUMERICAL METHODS;

EID: 38149033684     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019123     Document Type: Conference Paper
Times cited : (28)

References (82)
  • 1
    • 34249834828 scopus 로고
    • Local Lyapunov exponents computed from observed data
    • Abarbanel, H. D. I., Brown, R. & Kennel, M. B. [1991] "Local Lyapunov exponents computed from observed data," J. Nonlinear Sci. 2, 343-365.
    • (1991) J. Nonlinear Sci , vol.2 , pp. 343-365
    • Abarbanel, H.D.I.1    Brown, R.2    Kennel, M.B.3
  • 2
    • 84945375671 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in autonomous and periodically driven systems
    • Anishchenko, V. S., Vadivasova, T. E. & Sosnovtseva, O. [1996] "Strange nonchaotic attractors in autonomous and periodically driven systems," Phys. Rev. E 54, 3231-3234.
    • (1996) Phys. Rev. E , vol.54 , pp. 3231-3234
    • Anishchenko, V.S.1    Vadivasova, T.E.2    Sosnovtseva, O.3
  • 3
    • 0343318781 scopus 로고    scopus 로고
    • An example of a strange nonchaotic attractor
    • Bezhaeva, Z. I. & Oseledets, V. I. [1996] "An example of a strange nonchaotic attractor," Funct. Anal. Appl. 30, 223-229.
    • (1996) Funct. Anal. Appl , vol.30 , pp. 223-229
    • Bezhaeva, Z.I.1    Oseledets, V.I.2
  • 4
    • 0034497621 scopus 로고    scopus 로고
    • Experimental observation of dynamics near the torus-doubling terminal critical point
    • Bezruchko, B. P., Kuznetsov & Seleznev, Y. [2000] "Experimental observation of dynamics near the torus-doubling terminal critical point," Phys. Rev. E 62, 7828-7830.
    • (2000) Phys. Rev. E , vol.62 , pp. 7828-7830
    • Bezruchko, B.P.1    Kuznetsov2    Seleznev, Y.3
  • 5
    • 38149130272 scopus 로고    scopus 로고
    • Quasi-periodic Hènon-like attractors in 3D Diffeomorphisms
    • Netherlands, August
    • Broer, H. W., Simó, C. & Vitolo, R. [2005] "Quasi-periodic Hènon-like attractors in 3D Diffeomorphisms," ENOC-2005, Eindhoven, Netherlands, 7-12. August.
    • (2005) ENOC-2005, Eindhoven , pp. 7-12
    • Broer, H.W.1    Simó, C.2    Vitolo, R.3
  • 6
    • 41349114632 scopus 로고    scopus 로고
    • Fractalization route to strange nonchaotic dynamics
    • Datta, S., Ramaswamy, R. & Prasad, A. [2004a] "Fractalization route to strange nonchaotic dynamics," Phys. Rev. E 70, 046203-046212.
    • (2004) Phys. Rev. E , vol.70 , pp. 046203-046212
    • Datta, S.1    Ramaswamy, R.2    Prasad, A.3
  • 7
    • 9544233538 scopus 로고    scopus 로고
    • On the dynamics of the critical Harper map
    • Datta, S., Jäger, T., Keller, G. & Ramaswamy, R. [2004b] "On the dynamics of the critical Harper map," Nonlinearity 17, 2315-2323.
    • (2004) Nonlinearity , vol.17 , pp. 2315-2323
    • Datta, S.1    Jäger, T.2    Keller, G.3    Ramaswamy, R.4
  • 8
    • 0002223135 scopus 로고    scopus 로고
    • Observation of a strange nonchaotic attractor in a neon glow discharge
    • Ding, W. X., Deutsch, H., Dinklage, A. & Wilke, C. [1997] "Observation of a strange nonchaotic attractor in a neon glow discharge," Phys. Rev. E 55, 3769-3772.
    • (1997) Phys. Rev. E , vol.55 , pp. 3769-3772
    • Ding, W.X.1    Deutsch, H.2    Dinklage, A.3    Wilke, C.4
  • 10
    • 35949023610 scopus 로고
    • Roads to turbulence in dissipative dynamical systems
    • Eckmann, J. P. [1981] "Roads to turbulence in dissipative dynamical systems," Rev. Mod. Phys. 53, 643-654.
    • (1981) Rev. Mod. Phys , vol.53 , pp. 643-654
    • Eckmann, J.P.1
  • 11
    • 0000700573 scopus 로고    scopus 로고
    • Low-frequency fluctuations in semiconductor lasers with optical feedback are induced with noise
    • Eguia, M. C., Mindlin, G. B. & Giudici, M. [1998] "Low-frequency fluctuations in semiconductor lasers with optical feedback are induced with noise," Phys. Rev. E 58, 2636-2639.
    • (1998) Phys. Rev. E , vol.58 , pp. 2636-2639
    • Eguia, M.C.1    Mindlin, G.B.2    Giudici, M.3
  • 12
    • 23944441372 scopus 로고
    • Strange nonchaotic attractor in a quasiperiodically forced circle map
    • Feudel, U., Kurths, J. & Pikovsky, A. S. [1995] "Strange nonchaotic attractor in a quasiperiodically forced circle map," Physica D 88, 176-186.
    • (1995) Physica D , vol.88 , pp. 176-186
    • Feudel, U.1    Kurths, J.2    Pikovsky, A.S.3
  • 13
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • Fitzhugh, R. [1961] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, 445-466.
    • (1961) Biophys. J , vol.1 , pp. 445-466
    • Fitzhugh, R.1
  • 14
    • 0000271689 scopus 로고    scopus 로고
    • Entrainment and communication with dissipative pseudorandom dynamics
    • Gershenfeld, N. & Grinstein, G. [1999] "Entrainment and communication with dissipative pseudorandom dynamics," Phys. Rev. Lett. 74, 5024-5027.
    • (1999) Phys. Rev. Lett , vol.74 , pp. 5024-5027
    • Gershenfeld, N.1    Grinstein, G.2
  • 15
    • 0033611505 scopus 로고    scopus 로고
    • Cluster- weighted modelling for time-series analysis
    • Gershenfeld, N., Schoner, B. & Metois, E. [1999] "Cluster- weighted modelling for time-series analysis," Nature 397, 329-332.
    • (1999) Nature , vol.397 , pp. 329-332
    • Gershenfeld, N.1    Schoner, B.2    Metois, E.3
  • 16
    • 41349098514 scopus 로고    scopus 로고
    • Cluster-weighted modeling: Estimation of the Lyapunov spectrum in driven systems
    • Ghosh, A. & Ramaswamy, R. [2005] "Cluster-weighted modeling: Estimation of the Lyapunov spectrum in driven systems," Phys. Rev. E 71, 016224-016229.
    • (2005) Phys. Rev. E , vol.71 , pp. 016224-016229
    • Ghosh, A.1    Ramaswamy, R.2
  • 17
    • 0036763256 scopus 로고    scopus 로고
    • Global attractors of pinched skew products
    • Glendinning, P. [2002] "Global attractors of pinched skew products," Dyn. Syst. 17, 287-294.
    • (2002) Dyn. Syst , vol.17 , pp. 287-294
    • Glendinning, P.1
  • 18
    • 48549114635 scopus 로고
    • Strange attractors that are not chaotic
    • Grebogi, C., Ott, E., Pelikan, S. & Yorke, J. A. [1984] "Strange attractors that are not chaotic," Physica D 13, 261-268.
    • (1984) Physica D , vol.13 , pp. 261-268
    • Grebogi, C.1    Ott, E.2    Pelikan, S.3    Yorke, J.A.4
  • 19
    • 43949148003 scopus 로고
    • The birth of strange nonchaotic attractors
    • Heagy, J. F. & Hammel, S. M. [1994] "The birth of strange nonchaotic attractors," Physica D 70, 140-153.
    • (1994) Physica D , vol.70 , pp. 140-153
    • Heagy, J.F.1    Hammel, S.M.2
  • 20
    • 0000179471 scopus 로고
    • Une method pour minorer les esposants de Lyapunov
    • Herman [1983] "Une method pour minorer les esposants de Lyapunov," Commentarii Mathematicae Hlveticae 58, 483-502.
    • (1983) Commentarii Mathematicae Hlveticae , vol.58 , pp. 483-502
    • Herman1
  • 22
    • 0038875188 scopus 로고
    • Estimation of Lyapunov-exponent spectrum of plasma chaos
    • Huang, W., Ding, W. X., Feng, D. L. & Yu, C. X. [1994] "Estimation of Lyapunov-exponent spectrum of plasma chaos," Phys. Rev. E 50, 1062-1069.
    • (1994) Phys. Rev. E , vol.50 , pp. 1062-1069
    • Huang, W.1    Ding, W.X.2    Feng, D.L.3    Yu, C.X.4
  • 23
    • 45849154864 scopus 로고    scopus 로고
    • Fractal properties of robust strange nonchaotic attractors
    • Hunt, B. R. & Ott, E. [2001] "Fractal properties of robust strange nonchaotic attractors," Phys. Rev. Lett. 87, 254101-254104
    • (2001) Phys. Rev. Lett , vol.87 , pp. 254101-254104
    • Hunt, B.R.1    Ott, E.2
  • 24
    • 0242308945 scopus 로고    scopus 로고
    • Quasiperiodically forced interval maps with negative Schwarzian derivative
    • Jäger, T. [2003] "Quasiperiodically forced interval maps with negative Schwarzian derivative," Nonlinearity 16, 1239-1255.
    • (2003) Nonlinearity , vol.16 , pp. 1239-1255
    • Jäger, T.1
  • 25
    • 33947270402 scopus 로고    scopus 로고
    • On the structure of strange nonchaotic attractors in pinched skew products
    • Jäger, T. [2007] "On the structure of strange nonchaotic attractors in pinched skew products," Erg. Th. Dyn. Syst. 27, 493-510.
    • (2007) Erg. Th. Dyn. Syst , vol.27 , pp. 493-510
    • Jäger, T.1
  • 26
    • 38149026780 scopus 로고    scopus 로고
    • On the fractalization of invariant curves
    • World Scientific, Singapore, pp
    • Jorba, A. & Tatjer, J. C. [2005] "On the fractalization of invariant curves," Proc. Int. Conf. Differential Equations 2003 (World Scientific, Singapore), pp. 619-624.
    • (2005) Proc. Int. Conf. Differential Equations 2003 , pp. 619-624
    • Jorba, A.1    Tatjer, J.C.2
  • 27
    • 0000053184 scopus 로고
    • Oscillation & doubling of torus
    • Kaneko, K. [1984] "Oscillation & doubling of torus," Prog. Theor. Phys. 72, 202-215.
    • (1984) Prog. Theor. Phys , vol.72 , pp. 202-215
    • Kaneko, K.1
  • 28
    • 0003316593 scopus 로고
    • Generating strange nonchaotic trajectories
    • Kapitaniak, T. [1993] "Generating strange nonchaotic trajectories," Phys. Rev. E 47, 1408-1410.
    • (1993) Phys. Rev. E , vol.47 , pp. 1408-1410
    • Kapitaniak, T.1
  • 30
    • 0346094006 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in the externally modulated Rayleigh-Benard system
    • Ketchaman, E. J. N., Nana, L. & Kofane, T. C. [2004] "Strange nonchaotic attractors in the externally modulated Rayleigh-Benard system," Chaos Solit. Fract. 20, 1141-1148.
    • (2004) Chaos Solit. Fract , vol.20 , pp. 1141-1148
    • Ketchaman, E.J.N.1    Nana, L.2    Kofane, T.C.3
  • 31
    • 0001166260 scopus 로고    scopus 로고
    • A note on strange nonchaotic attractors
    • Keller, G. [1996] "A note on strange nonchaotic attractors," Fund. Math. 151, 139-148.
    • (1996) Fund. Math , vol.151 , pp. 139-148
    • Keller, G.1
  • 32
    • 0003061177 scopus 로고    scopus 로고
    • Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps
    • Ketoja, J. A. & Satija, I. I. [1997] "Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps," Physica D 109, 70-80.
    • (1997) Physica D , vol.109 , pp. 70-80
    • Ketoja, J.A.1    Satija, I.I.2
  • 33
    • 42749098380 scopus 로고    scopus 로고
    • Mechanism for the intermittent route to strange nonchaotic attractors
    • Kim, S.-Y., Lim, W. & Ott, E. [2003a] "Mechanism for the intermittent route to strange nonchaotic attractors," Phys. Rev. E 67, 056203-056207.
    • (2003) Phys. Rev. E , vol.67 , pp. 056203-056207
    • Kim, S.-Y.1    Lim, W.2    Ott, E.3
  • 34
    • 37649033073 scopus 로고    scopus 로고
    • Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions
    • Kim, J.-W., Kim, S.-Y., Hunt, B. R. & Ott, E. [2003b] "Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions," Phys. Rev. E 67, 036211-036218.
    • (2003) Phys. Rev. E , vol.67 , pp. 036211-036218
    • Kim, J.-W.1    Kim, S.-Y.2    Hunt, B.R.3    Ott, E.4
  • 35
    • 8844234230 scopus 로고    scopus 로고
    • Communication key using delay times in time-delayed chaos synchronization
    • Kim, C-M., Key, W.-Ho, Rim, S. & Lee, S.-Y. [2004] "Communication key using delay times in time-delayed chaos synchronization," Phys. Lett. A 333, 235-240.
    • (2004) Phys. Lett. A , vol.333 , pp. 235-240
    • Kim, C.-M.1    Key, W.-H.2    Rim, S.3    Lee, S.-Y.4
  • 36
    • 0001341663 scopus 로고
    • Birth of strange nonchaotic attractor: A renormalization group analysis
    • Kuznetsov, S. P., Pikovsky, A. S. & Feudel, U. [1995] "Birth of strange nonchaotic attractor: A renormalization group analysis," Phys. Rev. E 51, R1629-R1632.
    • (1995) Phys. Rev. E , vol.51
    • Kuznetsov, S.P.1    Pikovsky, A.S.2    Feudel, U.3
  • 37
    • 0034239256 scopus 로고    scopus 로고
    • Critical point of tori-collision in quasiperiodically forced systems
    • Kuznetsov, S. P., Neumann, E., Pikovsky, A. & Sataev, I. R. [2000] "Critical point of tori-collision in quasiperiodically forced systems," Phys. Rev. E 62, 1995-2007.
    • (2000) Phys. Rev. E , vol.62 , pp. 1995-2007
    • Kuznetsov, S.P.1    Neumann, E.2    Pikovsky, A.3    Sataev, I.R.4
  • 38
    • 0037275362 scopus 로고    scopus 로고
    • Torus fractalization and singularities in the current-voltage characteristics for the quasiperiodically forced Josephson junction
    • Kuznetsov, S. P. & Neumann, E. [2003] "Torus fractalization and singularities in the current-voltage characteristics for the quasiperiodically forced Josephson junction," Europhys. Lett. 71, 20-26.
    • (2003) Europhys. Lett , vol.71 , pp. 20-26
    • Kuznetsov, S.P.1    Neumann, E.2
  • 39
    • 42749108729 scopus 로고    scopus 로고
    • Torus fractalization and intermittency
    • Kuznetsov, S. P. [2002] "Torus fractalization and intermittency," Phys. Rev. E 65, 066209-066221.
    • (2002) Phys. Rev. E , vol.65 , pp. 066209-066221
    • Kuznetsov, S.P.1
  • 40
    • 0000376963 scopus 로고    scopus 로고
    • Renormalization group for scaling at the torus-doubling terminal points
    • Kuznetsov, S. P., Feudel, U. & Pikovsky, A. [1998] "Renormalization group for scaling at the torus-doubling terminal points," Phys. Rev. E 57, 1585-1590.
    • (1998) Phys. Rev. E , vol.57 , pp. 1585-1590
    • Kuznetsov, S.P.1    Feudel, U.2    Pikovsky, A.3
  • 41
    • 12844272881 scopus 로고    scopus 로고
    • Dynamical mechanism for band-merging transitions in quasiperiodically forced systems
    • Lim, W. & Kim, S.-Y. [2005] "Dynamical mechanism for band-merging transitions in quasiperiodically forced systems," Phys. Lett. A 335, 383-393.
    • (2005) Phys. Lett. A , vol.335 , pp. 383-393
    • Lim, W.1    Kim, S.-Y.2
  • 42
    • 38149128962 scopus 로고    scopus 로고
    • Noisy nonchaotic attractors
    • preprint
    • Nandi, A. & Ramaswamy, R. [2007] "Noisy nonchaotic attractors," preprint.
    • (2007)
    • Nandi, A.1    Ramaswamy, R.2
  • 43
    • 0035475927 scopus 로고    scopus 로고
    • Negi, S. S. & Ramaswamy, R. [2000] Critical states & fractal attractors in fractal tongues: Localization in the Harper map, Phys. Rev. E 64045204045207.
    • Negi, S. S. & Ramaswamy, R. [2000] "Critical states & fractal attractors in fractal tongues: Localization in the Harper map," Phys. Rev. E 64045204045207.
  • 44
    • 38149089965 scopus 로고    scopus 로고
    • Dynamics of the Harper map: Localized states, cantor spectra and strange nonchaotic attractors
    • Negi, S. S. & Ramaswamy, R. [2001] "Dynamics of the Harper map: Localized states, cantor spectra and strange nonchaotic attractors," Frontiers in Condensed Matter Physics 5, 186-214.
    • (2001) Frontiers in Condensed Matter Physics , vol.5 , pp. 186-214
    • Negi, S.S.1    Ramaswamy, R.2
  • 45
    • 0000329977 scopus 로고    scopus 로고
    • Quasiperiodically driven Josephson junctions: Strange nonchaotic attractors, symmetries and transport
    • Neumann, E. & Pikovsky, A. [2002] "Quasiperiodically driven Josephson junctions: Strange nonchaotic attractors, symmetries and transport," Europ. Phys. J. B 26, 219-228.
    • (2002) Europ. Phys. J. B , vol.26 , pp. 219-228
    • Neumann, E.1    Pikovsky, A.2
  • 46
    • 0000605399 scopus 로고    scopus 로고
    • Fractalization of a torus as a strange nonchaotic attractor
    • Nishikawa, T. & Kaneko, K. [1996] "Fractalization of a torus as a strange nonchaotic attractor," Phys. Rev. E 54, 6114-6124.
    • (1996) Phys. Rev. E , vol.54 , pp. 6114-6124
    • Nishikawa, T.1    Kaneko, K.2
  • 47
    • 0035509945 scopus 로고    scopus 로고
    • Comment on Simple approach to the creation of a strange nonchaotic attractor in any chaotic system
    • Neumann, E. & Pikovsky, A. [2001] Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system," Phys. Rev. E 64, 058201-058204
    • (2001) Phys. Rev. E , vol.64 , pp. 058201-058204
    • Neumann, E.1    Pikovsky, A.2
  • 48
    • 0035652636 scopus 로고    scopus 로고
    • Multistability and non-smooth bifurcations in the quasiperiodically forced circle map
    • Osinga, H., Wiersig, J., Glendinning, P. & Feudel, U. [2001] "Multistability and non-smooth bifurcations in the quasiperiodically forced circle map," Int. J. Bifurcation and Chaos 11, 3085-3107.
    • (2001) Int. J. Bifurcation and Chaos , vol.11 , pp. 3085-3107
    • Osinga, H.1    Wiersig, J.2    Glendinning, P.3    Feudel, U.4
  • 49
    • 0003582543 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Ott, E. [1994] Chaos in Dynamical Systems (Cambridge University Press, Cambridge, UK).
    • (1994) Chaos in Dynamical Systems
    • Ott, E.1
  • 50
    • 33847582932 scopus 로고
    • Blowout bifurcations: The occurrence of riddled basins and on-off intermittency
    • Ott, E. & Sommerer, J. C. [1994] "Blowout bifurcations: The occurrence of riddled basins and on-off intermittency," Phys. Lett. A 188, 39-47.
    • (1994) Phys. Lett. A , vol.188 , pp. 39-47
    • Ott, E.1    Sommerer, J.C.2
  • 51
    • 0000114923 scopus 로고
    • Characterizing strange nonchaotic attractors
    • Pikovsky, A. S. & Feudel, U. [1995] "Characterizing strange nonchaotic attractors," Chaos 5, , 253-260.
    • (1995) Chaos , vol.5 , pp. 253-260
    • Pikovsky, A.S.1    Feudel, U.2
  • 52
    • 0000308422 scopus 로고
    • Singular continuous spectra in dissipative dynamics
    • Pikovsky, A., Zaks, M. A., Feudel U. & Kurths, J. [1995] "Singular continuous spectra in dissipative dynamics," Phys. Rev. E 52, 285-296.
    • (1995) Phys. Rev. E , vol.52 , pp. 285-296
    • Pikovsky, A.1    Zaks, M.A.2    Feudel, U.3    Kurths, J.4
  • 53
    • 0001507566 scopus 로고    scopus 로고
    • Strange non-chaotic attractors in autonomous and periodically driven systems
    • Pikovsky, A. S. & Feudel, U. [1997] "Strange non-chaotic attractors in autonomous and periodically driven systems," Phys. Rev. E 56, 7320-7321.
    • (1997) Phys. Rev. E , vol.56 , pp. 7320-7321
    • Pikovsky, A.S.1    Feudel, U.2
  • 54
    • 34250254669 scopus 로고
    • Intermittent transition to turbulence in dissipative dynamical systems
    • Pomeau, Y. & Manneville, P. [1980] "Intermittent transition to turbulence in dissipative dynamical systems," Comm. Math. Phys. 74, 189-197.
    • (1980) Comm. Math. Phys , vol.74 , pp. 189-197
    • Pomeau, Y.1    Manneville, P.2
  • 55
    • 0000636188 scopus 로고    scopus 로고
    • Intermittency route to strange nonchaotic attractors
    • Prasad, A., Mehra, V. & Ramaswamy, R. [1997] "Intermittency route to strange nonchaotic attractors," Phys. Rev. Lett. 79, 4127-4130.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 4127-4130
    • Prasad, A.1    Mehra, V.2    Ramaswamy, R.3
  • 56
    • 0000399529 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in the quasiperiodically forced logistic map
    • Prasad, A., Mehra, V. & Ramaswamy, R. [1998] "Strange nonchaotic attractors in the quasiperiodically forced logistic map," Phys. Rev. E 57, 1576-1584.
    • (1998) Phys. Rev. E , vol.57 , pp. 1576-1584
    • Prasad, A.1    Mehra, V.2    Ramaswamy, R.3
  • 57
    • 0013258776 scopus 로고    scopus 로고
    • Finite-time Lyapunov exponents of strange nonchaotic attractors
    • eds. Daniel, M, Sahadevan, R. & Tamizhmani, K, Narosa, New Delhi, pp
    • Prasad, A. & Ramaswamy, R. [1998] "Finite-time Lyapunov exponents of strange nonchaotic attractors," in Nonlinear Dynamics: Integrability & Chaos, eds. Daniel, M., Sahadevan, R. & Tamizhmani, K. (Narosa, New Delhi), pp. 227-234.
    • (1998) Nonlinear Dynamics: Integrability & Chaos , pp. 227-234
    • Prasad, A.1    Ramaswamy, R.2
  • 58
    • 0001078820 scopus 로고    scopus 로고
    • Characteristic distributions of finite-time Lyapunov exponents
    • Prasad, A. & Ramaswamy, R. [1999] "Characteristic distributions of finite-time Lyapunov exponents," Phys. Rev. E 60, 2761-2766.
    • (1999) Phys. Rev. E , vol.60 , pp. 2761-2766
    • Prasad, A.1    Ramaswamy, R.2
  • 59
    • 0000485229 scopus 로고    scopus 로고
    • Collision & symmetry-breaking in the transition to strange nonchaotic attractors
    • Prasad, A., Ramaswamy, R., Satija, I. & Shah, N. [1999] "Collision & symmetry-breaking in the transition to strange nonchaotic attractors," Phys. Rev. Lett. 83, 4530-4533.
    • (1999) Phys. Rev. Lett , vol.83 , pp. 4530-4533
    • Prasad, A.1    Ramaswamy, R.2    Satija, I.3    Shah, N.4
  • 60
    • 0038941349 scopus 로고    scopus 로고
    • Can strange non-chaotic attractors be created through stochastic driving?
    • Prasad, A. & Ramaswamy, R. [2000] "Can strange non-chaotic attractors be created through stochastic driving?," Proc. Ind. Nat. Sc. Acad., pp. 859-869.
    • (2000) Proc. Ind. Nat. Sc. Acad , pp. 859-869
    • Prasad, A.1    Ramaswamy, R.2
  • 62
    • 0242663408 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in driven excitable systems
    • Prasad, A., Biswal, B. & Ramaswamy, R. [2003] "Strange nonchaotic attractors in driven excitable systems," Phys. Rev. E 68, 037201-03724.
    • (2003) Phys. Rev. E , vol.68 , pp. 037201-003724
    • Prasad, A.1    Biswal, B.2    Ramaswamy, R.3
  • 63
    • 38149116736 scopus 로고    scopus 로고
    • Strange non-chaotic attractors in driven time-delay systems
    • preprint
    • Prasad, A. & Ramaswamy, R. [2007] "Strange non-chaotic attractors in driven time-delay systems," preprint.
    • (2007)
    • Prasad, A.1    Ramaswamy, R.2
  • 64
    • 0000568177 scopus 로고
    • Controlling of chaotic motion by chaos and noise signals in a logistic map and Bonhoeffer-van der Pol oscillator
    • Rajasekhar, S. [1995] "Controlling of chaotic motion by chaos and noise signals in a logistic map and Bonhoeffer-van der Pol oscillator," Phys. Rev. E 51, 775-778.
    • (1995) Phys. Rev. E , vol.51 , pp. 775-778
    • Rajasekhar, S.1
  • 65
    • 0009380361 scopus 로고    scopus 로고
    • Synchronization of strange non-chaotic attractors
    • Ramaswamy, R. [1997] "Synchronization of strange non-chaotic attractors," Phys. Rev. E 56, 7294-7296.
    • (1997) Phys. Rev. E , vol.56 , pp. 7294-7296
    • Ramaswamy, R.1
  • 66
    • 25844468365 scopus 로고    scopus 로고
    • Dynamics of a nonlinear oscillator under quasi-periodic drive action
    • Seleznev, E. P. & Zakharevich, A. M. [2005] "Dynamics of a nonlinear oscillator under quasi-periodic drive action," Techn. Phys. Lett. 31, 725-727.
    • (2005) Techn. Phys. Lett , vol.31 , pp. 725-727
    • Seleznev, E.P.1    Zakharevich, A.M.2
  • 67
    • 0000158289 scopus 로고    scopus 로고
    • Nonchaotic attractors with highly fluctuating finite-time Lyapunov exponents
    • Shuai, J. M. & Wong, K. W. [1998] "Nonchaotic attractors with highly fluctuating finite-time Lyapunov exponents," Phys. Rev. E 57, 5332-5336.
    • (1998) Phys. Rev. E , vol.57 , pp. 5332-5336
    • Shuai, J.M.1    Wong, K.W.2
  • 68
    • 0000759573 scopus 로고    scopus 로고
    • Simple approach to the creation of a strange nonchaotic attractor in any chaotic system
    • Shuai, J. M. & Wong, K. W. [1999] "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system," Phys. Rev. E 59, 5338-5343.
    • (1999) Phys. Rev. E , vol.59 , pp. 5338-5343
    • Shuai, J.M.1    Wong, K.W.2
  • 69
    • 0037249849 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in high-dimensional neural system
    • Shuai, J. M. & Durand, D. M. [2003] "Strange nonchaotic attractors in high-dimensional neural system," Int. J. Bifurcation and Chaos 13, 251-260.
    • (2003) Int. J. Bifurcation and Chaos , vol.13 , pp. 251-260
    • Shuai, J.M.1    Durand, D.M.2
  • 71
    • 0033630351 scopus 로고    scopus 로고
    • Semi-uniform ergodic theorems and applications to forced systems
    • Sturman, R. & Stark, J. [2000] "Semi-uniform ergodic theorems and applications to forced systems," Non-linearity 13, 113-143.
    • (2000) Non-linearity , vol.13 , pp. 113-143
    • Sturman, R.1    Stark, J.2
  • 72
    • 0031453630 scopus 로고    scopus 로고
    • Ergodic reduction of random products of two-by-two matrices
    • Thieullen, Ph. [1997] "Ergodic reduction of random products of two-by-two matrices," J. Anal. Math. 73, 19-64.
    • (1997) J. Anal. Math , vol.73 , pp. 19-64
    • Thieullen, P.1
  • 73
    • 0001874281 scopus 로고
    • On relaxation-oscillations
    • van der Pol, B. [1927] "On relaxation-oscillations," Philos. Mag. 3, 65-80.
    • (1927) Philos. Mag , vol.3 , pp. 65-80
    • van der Pol, B.1
  • 74
    • 0038875186 scopus 로고    scopus 로고
    • Birth of strange nonchaotic attractors through typeIII intermittence
    • Venkatesan, A., Murali, K. & Lakshmanan, M. [1999] "Birth of strange nonchaotic attractors through typeIII intermittence" Phys. Lett. A 259, 246-253.
    • (1999) Phys. Lett. A , vol.259 , pp. 246-253
    • Venkatesan, A.1    Murali, K.2    Lakshmanan, M.3
  • 75
    • 0039533818 scopus 로고    scopus 로고
    • Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator
    • Venkatesan, A., Lakshmanan, M., Prasad, A. & Ramaswamy, R. [2000] "Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator," Phys. Rev. E 61, 3641-3651.
    • (2000) Phys. Rev. E , vol.61 , pp. 3641-3651
    • Venkatesan, A.1    Lakshmanan, M.2    Prasad, A.3    Ramaswamy, R.4
  • 76
    • 18344380834 scopus 로고    scopus 로고
    • Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map: Mechanisms and their characterizations
    • Venkatesan, A. & Lakshmanan, M. [2001] "Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map: Mechanisms and their characterizations," Phys. Rev. E 63, 026219-026222.
    • (2001) Phys. Rev. E , vol.63 , pp. 026219-026222
    • Venkatesan, A.1    Lakshmanan, M.2
  • 77
    • 37649030424 scopus 로고    scopus 로고
    • Generic two-variable model of excitability
    • Ventura, A. C., Mindlin, G. B. & Dawson, S. P. [2002] "Generic two-variable model of excitability," Phys. Rev. E 65, 046231-046236.
    • (2002) Phys. Rev. E , vol.65 , pp. 046231-046236
    • Ventura, A.C.1    Mindlin, G.B.2    Dawson, S.P.3
  • 78
    • 1642632669 scopus 로고    scopus 로고
    • Strange nonchaotic attractors in random dynamical systems
    • Wang, X., Zhan, M., Lai, C.-H. & Lai, Y.-C. [2004] "Strange nonchaotic attractors in random dynamical systems," Phys. Rev. Lett. 92, 074102-074105.
    • (2004) Phys. Rev. Lett , vol.92 , pp. 074102-074105
    • Wang, X.1    Zhan, M.2    Lai, C.-H.3    Lai, Y.-C.4
  • 79
    • 5344223647 scopus 로고    scopus 로고
    • Blowout bifurcation route to strange nonchaotic attractors
    • Yalçinkaya, T. & Lai, Y. C. [1996] "Blowout bifurcation route to strange nonchaotic attractors," Phys. Rev. Lett. 77, 5039-5042.
    • (1996) Phys. Rev. Lett , vol.77 , pp. 5039-5042
    • Yalçinkaya, T.1    Lai, Y.C.2
  • 80
    • 0000840938 scopus 로고    scopus 로고
    • Bifurcation to strange nonchaotic attractors
    • Yalçinkaya, T. & Lai, Y. C. [1997] "Bifurcation to strange nonchaotic attractors," Phys. Rev. E 56, 1623-1630.
    • (1997) Phys. Rev. E , vol.56 , pp. 1623-1630
    • Yalçinkaya, T.1    Lai, Y.C.2
  • 81
    • 0035278204 scopus 로고    scopus 로고
    • Milnor strange nonchaotic attractor with complex basin of attraction
    • Yang, H. L. [2001] "Milnor strange nonchaotic attractor with complex basin of attraction," Phys. Rev. E 63, 036208-036211.
    • (2001) Phys. Rev. E , vol.63 , pp. 036208-036211
    • Yang, H.L.1
  • 82
    • 0004764633 scopus 로고    scopus 로고
    • Experimental results of strange nonchaotic phenomenon in a second order quasi-periodically forced electronic circuit
    • Yang, T., & Bilimgut, K. [1997] "Experimental results of strange nonchaotic phenomenon in a second order quasi-periodically forced electronic circuit," Phys. Lett. A 236, 494-504.
    • (1997) Phys. Lett. A , vol.236 , pp. 494-504
    • Yang, T.1    Bilimgut, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.