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Volumn 10, Issue 4, 2000, Pages 835-846

Attractor bubbling in coupled hyperchaotic oscillators

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EID: 0039608371     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218127400000608     Document Type: Article
Times cited : (9)

References (45)
  • 1
    • 33744891845 scopus 로고
    • Bubbling of attractors and synchronization of chaotic oscillators
    • Ashwin, P., Buescu, J. & Stewart, I. [1994] "Bubbling of attractors and synchronization of chaotic oscillators," Phys. Lett. A193, 126-139.
    • (1994) Phys. Lett. , vol.A193 , pp. 126-139
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 2
    • 6144229366 scopus 로고    scopus 로고
    • From attractor to chaotic saddle: A tale of transverse instability
    • Ashwin, P., Buescu, J. & Stewart, I. [1996] "From attractor to chaotic saddle: A tale of transverse instability," Nonlinearity 9, 703-737.
    • (1996) Nonlinearity , vol.9 , pp. 703-737
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 3
    • 0001493689 scopus 로고    scopus 로고
    • Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers
    • Ahlers, V., Parlitz, U. & Lauterborn, W. [1998] "Hyperchaotic dynamics and synchronization of external-cavity semiconductor lasers," Phys. Rev. E58(6), 7208-7213.
    • (1998) Phys. Rev. , vol.E58 , Issue.6 , pp. 7208-7213
    • Ahlers, V.1    Parlitz, U.2    Lauterborn, W.3
  • 4
    • 0001252259 scopus 로고    scopus 로고
    • Synchronization of chaos and hyperchaos using linear and nonlinear feedback functions
    • Ali, M. K. & Fang, J.-Q. [1997] "Synchronization of chaos and hyperchaos using linear and nonlinear feedback functions," Phys. Rev. E55(5), 5285-5290.
    • (1997) Phys. Rev. , vol.E55 , Issue.5 , pp. 5285-5290
    • Ali, M.K.1    Fang, J.-Q.2
  • 7
    • 35949009462 scopus 로고
    • Computing the Lyapunov spectrum of a dynamical system from an observed time series
    • Brown, R., Bryant, P. & Abarbanel, H. D. I. [1991] "Computing the Lyapunov spectrum of a dynamical system from an observed time series," Phys. Rev. A43(6), 2787-2806.
    • (1991) Phys. Rev. , vol.A43 , Issue.6 , pp. 2787-2806
    • Brown, R.1    Bryant, P.2    Abarbanel, H.D.I.3
  • 8
    • 0000272541 scopus 로고    scopus 로고
    • Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
    • Brown, R. & Rulkov, N. [1997] "Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds," Chaos 7(3), 395-413.
    • (1997) Chaos , vol.7 , Issue.3 , pp. 395-413
    • Brown, R.1    Rulkov, N.2
  • 9
    • 0038855316 scopus 로고    scopus 로고
    • Synchronization of hyperchaotic circuits via continuous feedback control with application to secure communications
    • Brucoli, M., Cafagna, D., Carnimeo, L. & Grassi, G. [1998] "Synchronization of hyperchaotic circuits via continuous feedback control with application to secure communications," Int. J. Bifurcation and Chaos 8(10), 2031-2040.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , Issue.10 , pp. 2031-2040
    • Brucoli, M.1    Cafagna, D.2    Carnimeo, L.3    Grassi, G.4
  • 10
    • 43949173664 scopus 로고
    • Cascading synchronized chaotic systems
    • Carroll, T. L. & Pecora, L. M. [1993] "Cascading synchronized chaotic systems," Physica D67, 126-140.
    • (1993) Physica , vol.D67 , pp. 126-140
    • Carroll, T.L.1    Pecora, L.M.2
  • 13
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems
    • Fujisaka, H. & Yamada, T. [1983] "Stability theory of synchronized motion in coupled-oscillator systems," Prog. Theor. Phys. 69(1), 32-47.
    • (1983) Prog. Theor. Phys. , vol.69 , Issue.1 , pp. 32-47
    • Fujisaka, H.1    Yamada, T.2
  • 14
    • 0040650053 scopus 로고    scopus 로고
    • Intermittent loss of synchronized chaos under conditions when high-quality synchronization is expected
    • eds. Ding, M., Ditto, W., Pecora, L., Spano, M. & Vohra, S. (World Scientific, Singapore)
    • Gauthier, D. J. [1998] "Intermittent loss of synchronized chaos under conditions when high-quality synchronization is expected," Proc. 4th Experimental Chaos Conf., eds. Ding, M., Ditto, W., Pecora, L., Spano, M. & Vohra, S. (World Scientific, Singapore), pp. 383-394.
    • (1998) Proc. 4th Experimental Chaos Conf. , pp. 383-394
    • Gauthier, D.J.1
  • 15
    • 0000316566 scopus 로고    scopus 로고
    • Intermittent loss of synchronization in coupled chaotic oscillators: Torward a new criterion for high-quality synchronization
    • Gauthier, D. J. & Bienfang, J. C. [1996] "Intermittent loss of synchronization in coupled chaotic oscillators: Torward a new criterion for high-quality synchronization," Phys. Rev. Lett. 77, 1751-1754.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1751-1754
    • Gauthier, D.J.1    Bienfang, J.C.2
  • 16
    • 25544456773 scopus 로고    scopus 로고
    • Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode
    • Goedgebuer, J.-R, Larger, L. & Porte, H. [1998] "Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode," Phys. Rev. Lett. 77, 1751-1754.
    • (1998) Phys. Rev. Lett. , vol.77 , pp. 1751-1754
    • Goedgebuer, J.-R.1    Larger, L.2    Porte, H.3
  • 18
    • 21744442122 scopus 로고
    • Desynchronization by periodic orbits
    • Heagy, J. F., Carroll, T. L. & Pecora, L. M. [1995] "Desynchronization by periodic orbits," Phys. Rev. E52(2), R1253-R1256.
    • (1995) Phys. Rev. , vol.E52 , Issue.2
    • Heagy, J.F.1    Carroll, T.L.2    Pecora, L.M.3
  • 19
    • 0000308785 scopus 로고    scopus 로고
    • Optimal periodic orbits of chaotic systems
    • Hunt, B. & Ott, E. [1996] "Optimal periodic orbits of chaotic systems," Phys. Rev. Lett. 76, 2254-2257.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2254-2257
    • Hunt, B.1    Ott, E.2
  • 20
    • 4243083278 scopus 로고    scopus 로고
    • A reply to the comment by Scott M. Zoldi and Henry S. Greenside
    • Hunt, B. & Ott, E. [1998] "A reply to the comment by Scott M. Zoldi and Henry S. Greenside," Phys. Rev. Lett. 80, p. 1791.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1791
    • Hunt, B.1    Ott, E.2
  • 21
    • 0040056470 scopus 로고
    • Cambridge University Press, NY, Chapter 7
    • Jackson, E. A. [1990] Perspectives of Nonlinear Dynamics, Vol. 2 (Cambridge University Press, NY), Chapter 7, pp. 190-196.
    • (1990) Perspectives of Nonlinear Dynamics , vol.2 , pp. 190-196
    • Jackson, E.A.1
  • 22
    • 0001753050 scopus 로고    scopus 로고
    • Synchronization and imposed bifurcations in the presence of large parameter mismatch
    • Johnson, G. A., Mar, D. J., Carroll, T. L. & Pecora, L. M. [1998] "Synchronization and imposed bifurcations in the presence of large parameter mismatch," Phys. Rev. Lett. 80, 3956-3959.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 3956-3959
    • Johnson, G.A.1    Mar, D.J.2    Carroll, T.L.3    Pecora, L.M.4
  • 24
    • 0001177874 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar transmitted signal
    • Peng, J. H., Ding, E. J., Ding, M. & Yang, W. [1996] "Synchronizing hyperchaos with a scalar transmitted signal," Phys. Rev. Lett. 76(6), 904-907.
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.6 , pp. 904-907
    • Peng, J.H.1    Ding, E.J.2    Ding, M.3    Yang, W.4
  • 25
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 27
    • 0000758358 scopus 로고    scopus 로고
    • Fundamentals of synchronization in chaotic systems, concepts and applications
    • Pecora, L. M., Carroll, T. L., Johnson, G. A., Mar, D. J. & Heagy, J. F. [1997] "Fundamentals of synchronization in chaotic systems, concepts and applications," Chaos 7(4), 520-543.
    • (1997) Chaos , vol.7 , Issue.4 , pp. 520-543
    • Pecora, L.M.1    Carroll, T.L.2    Johnson, G.A.3    Mar, D.J.4    Heagy, J.F.5
  • 28
    • 4243997232 scopus 로고
    • Extracting messages masked by chaos
    • Perez, G. & Cerdeira, H. A. [1995] "Extracting messages masked by chaos," Phys. Rev. Lett. 74, 1970-1973.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1970-1973
    • Perez, G.1    Cerdeira, H.A.2
  • 29
    • 0000931523 scopus 로고
    • Symmetry breaking bifurcation for coupled chaotic attractors
    • Pikovsky, A. S. & Grassberger, P. [1991] "Symmetry breaking bifurcation for coupled chaotic attractors," J. Phys. A: Math. Gen. 24, 4587-4597.
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 4587-4597
    • Pikovsky, A.S.1    Grassberger, P.2
  • 30
    • 5344228512 scopus 로고
    • Predictable chaos in slightly perturbed unpredictable chaotic systems
    • Pyragas, K. [1993] "Predictable chaos in slightly perturbed unpredictable chaotic systems," Phys. Lett. A181, 203-210.
    • (1993) Phys. Lett. , vol.A181 , pp. 203-210
    • Pyragas, K.1
  • 31
    • 0031091609 scopus 로고    scopus 로고
    • Robustness of synchronized chaotic oscillations
    • Rulkov, N. F. & Sushchik, M. M. [1997] "Robustness of synchronized chaotic oscillations," Int. J. Bifurcation and Chaos 7(3), 625-643.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.3 , pp. 625-643
    • Rulkov, N.F.1    Sushchik, M.M.2
  • 32
    • 35949023411 scopus 로고
    • New method for determining the largest Lyapunov exponent of simple nonlinear systems
    • Schuster, H. G., Martin, S. & Martienssen, W. [1986] "New method for determining the largest Lyapunov exponent of simple nonlinear systems," Phys. Rev. A33(5), 3547-3549.
    • (1986) Phys. Rev. , vol.A33 , Issue.5 , pp. 3547-3549
    • Schuster, H.G.1    Martin, S.2    Martienssen, W.3
  • 33
    • 26644453748 scopus 로고    scopus 로고
    • Signal extraction from chaotic communications
    • Short, K. [1997] "Signal extraction from chaotic communications," Int. J. Bifurcation and Chaos 7(7), 1579-1597.
    • (1997) Int. J. Bifurcation and Chaos , vol.7 , Issue.7 , pp. 1579-1597
    • Short, K.1
  • 34
    • 0001266470 scopus 로고    scopus 로고
    • Dynamics based computation
    • Sinha, S. & Ditto, W. L. [1998] "Dynamics based computation," Phys. Rev. Lett. 81, 2156-2159.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2156-2159
    • Sinha, S.1    Ditto, W.L.2
  • 36
    • 0001209486 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar variable
    • Tamasevicius, A. & Cenys, A. [1997] "Synchronizing hyperchaos with a scalar variable," Phys. Rev. E55(1), 297-299.
    • (1997) Phys. Rev. , vol.E55 , Issue.1 , pp. 297-299
    • Tamasevicius, A.1    Cenys, A.2
  • 39
    • 0032549114 scopus 로고    scopus 로고
    • Communication with chaotic lasers
    • Van Wiggeren, G. D. & Roy, R. [1998] "Communication with chaotic lasers," Science 279, 1198-1200.
    • (1998) Science , vol.279 , pp. 1198-1200
    • Van Wiggeren, G.D.1    Roy, R.2
  • 42
    • 0032093419 scopus 로고    scopus 로고
    • A global synchronization theorem for a class of chaotic systems
    • Wang, X. F. & Wang, Z. Q. [1998] "A global synchronization theorem for a class of chaotic systems," Int. J. Bifurcation and Chaos 8(6), 1363-1369.
    • (1998) Int. J. Bifurcation and Chaos , vol.8 , Issue.6 , pp. 1363-1369
    • Wang, X.F.1    Wang, Z.Q.2
  • 44
    • 4243179283 scopus 로고    scopus 로고
    • Comment on 'Optimal periodic orbits of chaotic systems'
    • Zoldi, S. & Greenside, H. [1998] "Comment on 'Optimal periodic orbits of chaotic systems'," Phys. Rev. Lett. 80, p. 1790.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1790
    • Zoldi, S.1    Greenside, H.2
  • 45
    • 5544238919 scopus 로고    scopus 로고
    • General method of synchronization
    • Zonghua, L. & Shigang, C. [1997] "General method of synchronization," Phys. Rev. E55(6), 6651-6655.
    • (1997) Phys. Rev. , vol.E55 , Issue.6 , pp. 6651-6655
    • Zonghua, L.1    Shigang, C.2


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