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Volumn 25, Issue 9, 2015, Pages

Synchronization of chaotic systems

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EID: 84928024867     PISSN: 10541500     EISSN: 10897682     Source Type: Journal    
DOI: 10.1063/1.4917383     Document Type: Article
Times cited : (308)

References (61)
  • 1
    • 0004576268 scopus 로고
    • Chaotic transients and multiple attractors in spin-wave experiments
    • T. L. Carroll, L. M. Pecora, and F. J. Rachford, "Chaotic transients and multiple attractors in spin-wave experiments," Phys. Rev. Lett. 59, 2891 (1987).10.1103/PhysRevLett.59.2891
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 2891
    • Carroll, T.L.1    Pecora, L.M.2    Rachford, F.J.3
  • 2
    • 35949014554 scopus 로고
    • Derivation and generalization of the Suhl spin-wave instability relations
    • L. M. Pecora, "Derivation and generalization of the Suhl spin-wave instability relations," Phys. Rev. B 37(10), 5473 (1988).10.1103/PhysRevB.37.5473
    • (1988) Phys. Rev. B , vol.37 , Issue.10 , pp. 5473
    • Pecora, L.M.1
  • 3
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821 (1990).10.1103/PhysRevLett.64.821
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 821
    • Pecora, L.M.1    Carroll, T.L.2
  • 4
    • 5344269568 scopus 로고
    • Driving systems with chaotic signals
    • L. M. Pecora and T. L. Carroll, "Driving systems with chaotic signals," Phys. Rev. A 44, 2374 (1991).10.1103/PhysRevA.44.2374
    • (1991) Phys. Rev. A , vol.44 , pp. 2374
    • Pecora, L.M.1    Carroll, T.L.2
  • 5
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57, 617 (1985).10.1103/RevModPhys.57.617
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617
    • Eckmann, J.-P.1    Ruelle, D.2
  • 6
    • 84999383611 scopus 로고    scopus 로고
    • We are grateful to E. E. Cawley for suggesting the name (private communication).
  • 8
    • 0022934940 scopus 로고
    • Chaos generation using binary hysteresis
    • R. W. Newcomb and N. El-Leithy, "Chaos generation using binary hysteresis," Circuits Syst. Signal Process. 5(3), 321 (1986).10.1007/BF01600066
    • (1986) Circuits Syst. Signal Process. , vol.5 , Issue.3 , pp. 321
    • Newcomb, R.W.1    El-Leithy, N.2
  • 9
    • 0000638253 scopus 로고
    • Nontrivial structure of synchronization zones in multidimensional systems
    • I. S. Aranson and N. F. Rul'kov, "Nontrivial structure of synchronization zones in multidimensional systems," Phys. Lett. A 139(8), 375 (1989).10.1016/0375-9601(89)90581-1
    • (1989) Phys. Lett. A , vol.139 , Issue.8 , pp. 375
    • Aranson, I.S.1    Rul'kov, N.F.2
  • 10
    • 0000121818 scopus 로고
    • Experimental study of bifurcations at the threshold for stochastic locking
    • A. R. Volkovskii and N. F. Rul'kov, "Experimental study of bifurcations at the threshold for stochastic locking," Sov. Tech. Phys. Lett. 15, 249 (1989).
    • (1989) Sov. Tech. Phys. Lett. , vol.15 , pp. 249
    • Volkovskii, A.R.1    Rul'kov, N.F.2
  • 11
    • 0022785147 scopus 로고
    • Stochastic synchronization of oscillations in dissipative systems
    • V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, "Stochastic synchronization of oscillations in dissipative systems," Radiophys. Quantum Electron. 29(9), 795 (1986).10.1007/BF01034476
    • (1986) Radiophys. Quantum Electron. , vol.29 , Issue.9 , pp. 795
    • Afraimovich, V.S.1    Verichev, N.N.2    Rabinovich, M.I.3
  • 13
    • 0021420588 scopus 로고
    • Synchronization and stochastization of array of self-excited oscillators by external noise
    • A. S. Pikovskii, "Synchronization and stochastization of array of self-excited oscillators by external noise," Radiophys. Quantum Electron. 27(5), 390 (1984).10.1007/BF01044784
    • (1984) Radiophys. Quantum Electron. , vol.27 , Issue.5 , pp. 390
    • Pikovskii, A.S.1
  • 14
    • 34250135918 scopus 로고
    • On the interaction of strange attractors
    • A. Pikovskii, "On the interaction of strange attractors," Z. Phys. B 55(2), 149 (1984).10.1007/BF01420567
    • (1984) Z. Phys. B , vol.55 , Issue.2 , pp. 149
    • Pikovskii, A.1
  • 15
    • 0002256723 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems
    • H. Fujisaka and T. Yamada, "Stability theory of synchronized motion in coupled-oscillator systems," Prog. Theor. Phys. 69(1), 32 (1983).10.1143/PTP.69.32
    • (1983) Prog. Theor. Phys. , vol.69 , Issue.1 , pp. 32
    • Fujisaka, H.1    Yamada, T.2
  • 16
    • 0000130634 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems. IV
    • H. Fujisaka and T. Yamada, "Stability theory of synchronized motion in coupled-oscillator systems. IV," Prog. Theor. Phys. 74, 918 (1985).10.1143/PTP.74.918
    • (1985) Prog. Theor. Phys. , vol.74 , pp. 918
    • Fujisaka, H.1    Yamada, T.2
  • 17
    • 0000796972 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems. II
    • T. Yamada and H. Fujisaka, "Stability theory of synchronized motion in coupled-oscillator systems. II," Prog. Theor. Phys. 70, 1240 (1983).10.1143/PTP.70.1240
    • (1983) Prog. Theor. Phys. , vol.70 , pp. 1240
    • Yamada, T.1    Fujisaka, H.2
  • 18
    • 0000796974 scopus 로고
    • Stability theory of synchronized motion in coupled-oscillator systems. III
    • T. Yamada and H. Fujisaka, "Stability theory of synchronized motion in coupled-oscillator systems. III," Prog. Theor. Phys. 72, 885 (1984).10.1143/PTP.72.885
    • (1984) Prog. Theor. Phys. , vol.72 , pp. 885
    • Yamada, T.1    Fujisaka, H.2
  • 19
    • 43949173664 scopus 로고
    • Cascading synchronized chaotic systems
    • T. L. Carroll and L. M. Pecora, "Cascading synchronized chaotic systems," Physica D 67, 126 (1993).10.1016/0167-2789(93)90201-B
    • (1993) Physica D , vol.67 , pp. 126
    • Carroll, T.L.1    Pecora, L.M.2
  • 20
    • 0032098043 scopus 로고    scopus 로고
    • Synchronizing hyperchaotic volume-preserving map circuits
    • T. L. Carroll and L. M. Pecora, "Synchronizing hyperchaotic volume-preserving map circuits," IEEE Trans. Syst. Circuits 45(6), 656 (1998).10.1109/81.678482
    • (1998) IEEE Trans. Syst. Circuits , vol.45 , Issue.6 , pp. 656
    • Carroll, T.L.1    Pecora, L.M.2
  • 21
    • 0001177874 scopus 로고    scopus 로고
    • Synchronizing hyperchaos with a scalar transmitted signal
    • J. H. Peng, E. J. Ding, M. Ding et al., "Synchronizing hyperchaos with a scalar transmitted signal," Phys. Rev. Lett. 76(6), 904 (1996).10.1103/PhysRevLett.76.904
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.6 , pp. 904
    • Peng, J.H.1    Ding, E.J.2    Ding, M.3
  • 22
    • 0001753050 scopus 로고    scopus 로고
    • Synchronization and imposed bifurcations in the presence of large parameter mismatch
    • G. A. Johnson, D. J. Mar, T. L. Carroll et al., "Synchronization and imposed bifurcations in the presence of large parameter mismatch," Phys. Rev. Lett. 80(18), 3956 (1998).10.1103/PhysRevLett.80.3956
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.18 , pp. 3956
    • Johnson, G.A.1    Mar, D.J.2    Carroll, T.L.3
  • 23
    • 11944273756 scopus 로고
    • Short wavelength bifurcations and size instabilities in coupled oscillator systems
    • J. F. Heagy, L. M. Pecora, and T. L. Carroll, "Short wavelength bifurcations and size instabilities in coupled oscillator systems," Phys. Rev. Lett. 74(21), 4185 (1995).10.1103/PhysRevLett.74.4185
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.21 , pp. 4185
    • Heagy, J.F.1    Pecora, L.M.2    Carroll, T.L.3
  • 24
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • A. Turing, "The chemical basis of morphogenesis," Philos. Trans. B 237, 37 (1952).10.1098/rstb.1952.0012
    • (1952) Philos. Trans. B , vol.237 , pp. 37
    • Turing, A.1
  • 25
    • 0001159210 scopus 로고    scopus 로고
    • Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems
    • L. M. Pecora, "Synchronization conditions and desynchronizing patterns in coupled limit-cycle and chaotic systems," Phys. Rev. E 58(1), 347 (1998).10.1103/PhysRevE.58.347
    • (1998) Phys. Rev. E , vol.58 , Issue.1 , pp. 347
    • Pecora, L.M.1
  • 26
    • 0000931523 scopus 로고
    • Symmetry breaking bifurcation for coupled chaotic attractors
    • A. A. Pikovsky and P. Grassberger, "Symmetry breaking bifurcation for coupled chaotic attractors," J. Phys. A 24(19), 4587 (1991).10.1088/0305-4470/24/19/022
    • (1991) J. Phys. A , vol.24 , Issue.19 , pp. 4587
    • Pikovsky, A.A.1    Grassberger, P.2
  • 27
    • 33744891845 scopus 로고
    • Bubbling of attractors and synchronization of chaotic oscillators
    • P. Ashwin, J. Buescu, and I. Stewart, "Bubbling of attractors and synchronization of chaotic oscillators," Phys. Lett. A 193, 126 (1994).10.1016/0375-9601(94)90947-4
    • (1994) Phys. Lett. A , vol.193 , pp. 126
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 28
    • 6144229366 scopus 로고
    • From attractor to chaotic saddle: A tale of transverse instability
    • P. Ashwin, J. Buescu, and I. Stewart, "From attractor to chaotic saddle: A tale of transverse instability," Nonlinearity 9, 703 (1994).10.1088/0951-7715/9/3/006
    • (1994) Nonlinearity , vol.9 , pp. 703
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 29
    • 33847573999 scopus 로고
    • The transition to chaotic attractors with riddled basins
    • E. Ott, J. C. Alexander, I. Kan et al., "The transition to chaotic attractors with riddled basins," Physica D 76, 384 (1994).10.1016/0167-2789(94)90047-7
    • (1994) Physica D , vol.76 , pp. 384
    • Ott, E.1    Alexander, J.C.2    Kan, I.3
  • 30
    • 33847582932 scopus 로고
    • Blowout bifurcations: The occurrence of riddled basins and on-off intermittency
    • E. Ott and J. C. Sommerer, "Blowout bifurcations: The occurrence of riddled basins and on-off intermittency," Phys. Lett. A 188, 39 (1994).10.1016/0375-9601(94)90114-7
    • (1994) Phys. Lett. A , vol.188 , pp. 39
    • Ott, E.1    Sommerer, J.C.2
  • 31
    • 0001163936 scopus 로고
    • Scaling behavior of chaotic systems with riddled basins
    • E. Ott, J. C. Sommerer, J. C. Alexander et al., "Scaling behavior of chaotic systems with riddled basins," Phys. Rev. Lett. 71, 4134 (1993).10.1103/PhysRevLett.71.4134
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 4134
    • Ott, E.1    Sommerer, J.C.2    Alexander, J.C.3
  • 32
    • 84999368507 scopus 로고    scopus 로고
    • E. Ott, private communication.
    • Ott, E.1
  • 33
    • 12044254838 scopus 로고
    • Experimental and numerical evidence for riddled basins in coupled chaotic oscillators
    • J. F. Heagy, T. L. Carroll, and L. M. Pecora, "Experimental and numerical evidence for riddled basins in coupled chaotic oscillators," Phys. Rev. Lett. 73, 3528 (1994).10.1103/PhysRevLett.73.3528
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 3528
    • Heagy, J.F.1    Carroll, T.L.2    Pecora, L.M.3
  • 34
    • 33744833457 scopus 로고
    • Generalized synchronization of chaos in directionally coupled chaotic systems
    • N. Rul'kov, M. M. Sushchik, L. S. Tsimring et al., "Generalized synchronization of chaos in directionally coupled chaotic systems," Phys. Rev. E 51, 980 (1995).10.1103/PhysRevE.51.980
    • (1995) Phys. Rev. E , vol.51 , pp. 980
    • Rul'kov, N.1    Sushchik, M.M.2    Tsimring, L.S.3
  • 35
    • 0000388249 scopus 로고    scopus 로고
    • Generalized synchronization of chaos: The auxiliary system approach
    • H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, "Generalized synchronization of chaos: The auxiliary system approach," Phys. Rev. E 53(5), 4528 (1996).10.1103/PhysRevE.53.4528
    • (1996) Phys. Rev. E , vol.53 , Issue.5 , pp. 4528
    • Abarbanel, H.D.I.1    Rulkov, N.F.2    Sushchik, M.M.3
  • 36
    • 0001419222 scopus 로고    scopus 로고
    • Subharmonic entrainment of unstable period orbits and generalized synchronization
    • U. Parlitz, L. Junge, and L. Kocarev, "Subharmonic entrainment of unstable period orbits and generalized synchronization," Phys. Rev. Lett. 79, 3158 (1997).10.1103/PhysRevLett.79.3158
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3158
    • Parlitz, U.1    Junge, L.2    Kocarev, L.3
  • 37
    • 0242430616 scopus 로고    scopus 로고
    • Chaotic synchronization of coupled ergodic maps
    • D. G. Sterling, "Chaotic synchronization of coupled ergodic maps," Chaos 11, 29 (2001).10.1063/1.1350407
    • (2001) Chaos , vol.11 , pp. 29
    • Sterling, D.G.1
  • 38
    • 13044314729 scopus 로고
    • A simple circuit for demonstrating regular and synchronized chaos
    • T. L. Carroll, "A simple circuit for demonstrating regular and synchronized chaos," Am. J. Phys. 63, 377 (1995).10.1119/1.17923
    • (1995) Am. J. Phys. , vol.63 , pp. 377
    • Carroll, T.L.1
  • 39
    • 17844400589 scopus 로고    scopus 로고
    • Chaotic systems that are robust to added noise
    • T. L. Carroll, "Chaotic systems that are robust to added noise," Chaos 15, 013901 (2005).10.1063/1.1827451
    • (2005) Chaos , vol.15 , pp. 013901
    • Carroll, T.L.1
  • 40
    • 0034310664 scopus 로고    scopus 로고
    • Information transmission and recovery in neural communications channels
    • M. C. Eguia, M. I. Rabinovich, and H. D. I. Abarbane, "Information transmission and recovery in neural communications channels," Phys. Rev. E 62(5), 7111 (2000).10.1103/PhysRevE.62.7111
    • (2000) Phys. Rev. E , vol.62 , Issue.5 , pp. 7111
    • Eguia, M.C.1    Rabinovich, M.I.2    Abarbane, H.D.I.3
  • 42
    • 0002730762 scopus 로고    scopus 로고
    • Synchronization in coupled map lattices with random nonlocal connectivity
    • P. M. Gade, "Synchronization in coupled map lattices with random nonlocal connectivity," Phys. Rev. E 54, 64 (1996).10.1103/PhysRevE.54.64
    • (1996) Phys. Rev. E , vol.54 , pp. 64
    • Gade, P.M.1
  • 43
    • 4244200669 scopus 로고    scopus 로고
    • Instability and controllability of linearly coupled oscillators: Eigenvalue analysis
    • G. Hu, J. Yang, and W. Liu, "Instability and controllability of linearly coupled oscillators: Eigenvalue analysis," Phys. Rev. Lett. 80(3), 496 (1998).10.1103/PhysRevLett.80.496
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.3 , pp. 496
    • Hu, G.1    Yang, J.2    Liu, W.3
  • 44
    • 0000186307 scopus 로고    scopus 로고
    • Estimating model parameters from time series by autosynchronization
    • U. Parlitz, "Estimating model parameters from time series by autosynchronization," Phys. Rev. Lett. 76(8), 1232 (1996).10.1103/PhysRevLett.76.1232
    • (1996) Phys. Rev. Lett. , vol.76 , Issue.8 , pp. 1232
    • Parlitz, U.1
  • 45
    • 38749154710 scopus 로고    scopus 로고
    • Estimation of parameters in nonlinear systems using balanced synchronization
    • H. D. I. Abarbanel, D. R. Creveling, and J. M. Jeanne, "Estimation of parameters in nonlinear systems using balanced synchronization," Phys. Rev. E 77(1), 14 (2008).10.1103/PhysRevE.77.016208
    • (2008) Phys. Rev. E , vol.77 , Issue.1 , pp. 14
    • Abarbanel, H.D.I.1    Creveling, D.R.2    Jeanne, J.M.3
  • 48
    • 33645671907 scopus 로고    scopus 로고
    • Hierarchical synchronization in complex networks with heterogeneous degrees
    • C. Zhou and J. Kurths, "Hierarchical synchronization in complex networks with heterogeneous degrees," Chaos 16, 015104 (2006).10.1063/1.2150381
    • (2006) Chaos , vol.16 , pp. 015104
    • Zhou, C.1    Kurths, J.2
  • 49
    • 38149020019 scopus 로고    scopus 로고
    • Eigenvalue decomposition as a generalized synchronization cluster analysis
    • C. Allefeld, M. Muller, and J. Kurths, "Eigenvalue decomposition as a generalized synchronization cluster analysis," Int. J. Bifurcations Chaos 17, 3493 (2007).10.1142/S0218127407019251
    • (2007) Int. J. Bifurcations Chaos , vol.17 , pp. 3493
    • Allefeld, C.1    Muller, M.2    Kurths, J.3
  • 50
    • 36249015537 scopus 로고    scopus 로고
    • Network synchronization of groups
    • F. Sorrentino and E. Ott, "Network synchronization of groups," Phys. Rev. E 76, 056114 (2007).10.1103/PhysRevE.76.056114
    • (2007) Phys. Rev. E , vol.76 , pp. 056114
    • Sorrentino, F.1    Ott, E.2
  • 51
    • 54749138457 scopus 로고    scopus 로고
    • Cluster synchronization in osccillatory networks
    • V. Belykh, G. V. Osipov, V. S. Petrov et al., "Cluster synchronization in osccillatory networks," Chaos 18, 037106 (2008).10.1063/1.2956986
    • (2008) Chaos , vol.18 , pp. 037106
    • Belykh, V.1    Osipov, G.V.2    Petrov, V.S.3
  • 52
    • 79953652988 scopus 로고    scopus 로고
    • Synchronization of unidirectional time delay chaotic networks and the greatest common divisor
    • I. Kanter, M. Zigzag, A. Englert et al., "Synchronization of unidirectional time delay chaotic networks and the greatest common divisor," Europhys. Lett. 93, 60003 (2011).10.1209/0295-5075/93/60003
    • (2011) Europhys. Lett. , vol.93 , pp. 60003
    • Kanter, I.1    Zigzag, M.2    Englert, A.3
  • 53
    • 84863938300 scopus 로고    scopus 로고
    • Cluster and group synchronization in delay-coupled networks
    • T. Dahms, J. Lehnert, and E. Scholl, "Cluster and group synchronization in delay-coupled networks," Phys. Rev. E 86, 016202 (2012).10.1103/PhysRevE.86.016202
    • (2012) Phys. Rev. E , vol.86 , pp. 016202
    • Dahms, T.1    Lehnert, J.2    Scholl, E.3
  • 54
    • 84875502036 scopus 로고    scopus 로고
    • Topological control of synchronous patterns in systems of networked chaotic oscillators
    • C. Fu, Z. Deng, L. Huang et al., "Topological control of synchronous patterns in systems of networked chaotic oscillators," Phys. Rev. E 87(3), 032909 (2013).10.1103/PhysRevE.87.032909
    • (2013) Phys. Rev. E , vol.87 , Issue.3 , pp. 032909
    • Fu, C.1    Deng, Z.2    Huang, L.3
  • 55
    • 84874596207 scopus 로고    scopus 로고
    • Control of synchronization patterns in neural-like Boolean networks
    • D. P. Rosin, D. Rontani, and D. J. Gauthier, "Control of synchronization patterns in neural-like Boolean networks," Phys. Rev. Lett. 110(10), 104102 (2013).10.1103/PhysRevLett.110.104102
    • (2013) Phys. Rev. Lett. , vol.110 , Issue.10 , pp. 104102
    • Rosin, D.P.1    Rontani, D.2    Gauthier, D.J.3
  • 56
    • 84873437351 scopus 로고    scopus 로고
    • Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators
    • C. Williams, T. Murphy, R. Roy et al., "Experimental observations of group synchrony in a system of chaotic optoelectronic oscillators," Phys. Rev. Lett. 110, 064104 (2013).10.1103/PhysRevLett.110.064104
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 064104
    • Williams, C.1    Murphy, T.2    Roy, R.3
  • 58
    • 11144319940 scopus 로고    scopus 로고
    • Patterns of synchrony in coupled cell networks with multiple arrows
    • M. Golubitsky, I. Stewart, and A. Török, "Patterns of synchrony in coupled cell networks with multiple arrows," SIAM J. Appl. Dyn. Syst. 4(1), 78 (2005).10.1137/040612634
    • (2005) SIAM J. Appl. Dyn. Syst. , vol.4 , Issue.1 , pp. 78
    • Golubitsky, M.1    Stewart, I.2    Török, A.3
  • 59
    • 84902438827 scopus 로고    scopus 로고
    • Cluster synchronization and isolated desynchronization in complex networks with symmetries
    • L. M. Pecora, F. Sorrentino, A. Hagerstrom et al., "Cluster synchronization and isolated desynchronization in complex networks with symmetries," Nat. Commun. 5, 4079 (2014).
    • (2014) Nat. Commun. , vol.5 , pp. 4079
    • Pecora, L.M.1    Sorrentino, F.2    Hagerstrom, A.3


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