메뉴 건너뛰기




Volumn 10, Issue 11, 2000, Pages 2649-2667

On phase synchronization by periodic force in chaotic oscillators with saddle equilibria

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034310156     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127400001626     Document Type: Article
Times cited : (13)

References (32)
  • 1
    • 0000697407 scopus 로고
    • Invariant two-dimensional tori, their breakdown and stochasticity
    • Afraimovich, V. S. & Shilnikov, L. P. [1991] "Invariant two-dimensional tori, their breakdown and stochasticity," Amer. Math. Soc. Trans. 149, 201-212.
    • (1991) Amer. Math. Soc. Trans. , vol.149 , pp. 201-212
    • Afraimovich, V.S.1    Shilnikov, L.P.2
  • 2
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross, M. C. & Hohenberg, P. C. [1993] "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851-1112.
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 3
    • 44949273254 scopus 로고
    • Periodic orbits as the skeleton of classical and quantum chaos
    • Cvitanović, P. [1991] "Periodic orbits as the skeleton of classical and quantum chaos," Physica D51, 138-151.
    • (1991) Physica , vol.D51 , pp. 138-151
    • Cvitanović, P.1
  • 4
    • 0000540018 scopus 로고
    • Periodic orbit analysis of the Lorenz attractor
    • Eckhardt, B. & Ott, G. [1994] "Periodic orbit analysis of the Lorenz attractor," Z. Phys. B93, 259-266.
    • (1994) Z. Phys. , vol.B93 , pp. 259-266
    • Eckhardt, B.1    Ott, G.2
  • 5
    • 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, p. 32.
    • (1983) Prog. Theor. Phys. , vol.69 , pp. 32
    • Fujisaka, H.1    Yamada, T.2
  • 6
    • 0000293183 scopus 로고
    • Theory of communication
    • Gabor, D. [1946] "Theory of communication," J. IEE London 93, 429-457.
    • (1946) J. IEE London , vol.93 , pp. 429-457
    • Gabor, D.1
  • 7
    • 0031530948 scopus 로고    scopus 로고
    • Generic hyperbolicity in the logistic family
    • Graczyk, J. & Swiatek, G. [1997] "Generic hyperbolicity in the logistic family," Ann. Math. 146, 1-52.
    • (1997) Ann. Math. , vol.146 , pp. 1-52
    • Graczyk, J.1    Swiatek, G.2
  • 8
    • 0000112048 scopus 로고
    • Unstable periodic orbits and the dimension of chaotic attractors
    • Grebogi, C., Ott, E. & Yorke, J. A. [1987] "Unstable periodic orbits and the dimension of chaotic attractors," Phys. Rev. A36, 3522-3524.
    • (1987) Phys. Rev. , vol.A36 , pp. 3522-3524
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 9
    • 0000308785 scopus 로고    scopus 로고
    • Optimal periodic orbits of chaotic systems
    • Hunt, B. R. & 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.R.1    Ott, E.2
  • 10
    • 0000929946 scopus 로고    scopus 로고
    • Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems
    • Kocarev, L. & Parlitz, U. [1996] "Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems," Phys. Rev. Lett. 76, 1816-1819.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1816-1819
    • Kocarev, L.1    Parlitz, U.2
  • 11
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz, E. N. [1963] "Deterministic nonperiodic flow," J. Atmos. Sci. 20, 130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 12
    • 0001704585 scopus 로고    scopus 로고
    • Phase synchronization in the forced Lorenz system
    • Park, E.-H., Zaks, M. A. & Kurths, J. [1999] "Phase synchronization in the forced Lorenz system," Phys. Rev. E60, 6627-6638.
    • (1999) Phys. Rev. , vol.E60 , pp. 6627-6638
    • Park, E.-H.1    Zaks, M.A.2    Kurths, J.3
  • 13
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora, L. M. & Caroll, 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    Caroll, T.L.2
  • 14
    • 34250135918 scopus 로고
    • On the interaction of strange attractors
    • Pikovsky, A. S. [1984] "On the interaction of strange attractors," Z. Phys. B55, 149-154.
    • (1984) Z. Phys. , vol.B55 , pp. 149-154
    • Pikovsky, A.S.1
  • 15
    • 0001963650 scopus 로고    scopus 로고
    • Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
    • Pikovsky, A. S., Osipov, G. V., Rosenblum, M. G., Zaks, M. A. & Kurths, J. [1997a] "Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization," Phys. Rev. Lett. 79, 47-50.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 47-50
    • Pikovsky, A.S.1    Osipov, G.V.2    Rosenblum, M.G.3    Zaks, M.A.4    Kurths, J.5
  • 16
    • 0000376090 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillations in terms of periodic orbits
    • Pikovsky, A. S., Zaks, M. A., Rosenblum, M. G., Osipov, G. V. & Kurths, J. [1997b] "Phase synchronization of chaotic oscillations in terms of periodic orbits," Chaos 7, 680-687.
    • (1997) Chaos , vol.7 , pp. 680-687
    • Pikovsky, A.S.1    Zaks, M.A.2    Rosenblum, M.G.3    Osipov, G.V.4    Kurths, J.5
  • 17
    • 17444382843 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators by external driving
    • Pikovsky, A. S., Rosenblum, M. G., Osipov, G. V. & Kurths, J. [1997c] "Phase synchronization of chaotic oscillators by external driving," Physica D104, 219-238.
    • (1997) Physica , vol.D104 , pp. 219-238
    • Pikovsky, A.S.1    Rosenblum, M.G.2    Osipov, G.V.3    Kurths, J.4
  • 19
    • 0000326025 scopus 로고    scopus 로고
    • Transition to phase synchronization of chaos
    • Rosa, E. R., Ott, E. & Hess, M. H. [1998] "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80, 1642-1645.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 1642-1645
    • Rosa, E.R.1    Ott, E.2    Hess, M.H.3
  • 20
    • 4243262725 scopus 로고    scopus 로고
    • Phase synchronization of chaotic oscillators
    • Rosenblum, M. G., Pikovsky, A. S. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76, 1804-1807.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1804-1807
    • Rosenblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3
  • 21
    • 0026791711 scopus 로고
    • Chaos in models of double convection
    • Rucklidge, A. M. [1992] "Chaos in models of double convection," J. Fluid Mech. 237, 209-229.
    • (1992) J. Fluid Mech. , vol.237 , pp. 209-229
    • Rucklidge, A.M.1
  • 22
    • 0001657779 scopus 로고
    • Chaos in a low-order model of magnetoconvection
    • Rucklidge, A. M. [1993] "Chaos in a low-order model of magnetoconvection," Physica D62, 323-337.
    • (1993) Physica , vol.D62 , pp. 323-337
    • Rucklidge, A.M.1
  • 23
    • 33744833457 scopus 로고
    • Generalized synchronization of chaos in directionally coupled chaotic systems
    • Rulkov, N. F., Sushchik, M. M., Tsimring, L. S. & Abarbanel, H. D. I. [1995] "Generalized synchronization of chaos in directionally coupled chaotic systems," Phys. Rev. E51, 980-994.
    • (1995) Phys. Rev. , vol.E51 , pp. 980-994
    • Rulkov, N.F.1    Sushchik, M.M.2    Tsimring, L.S.3    Abarbanel, H.D.I.4
  • 24
    • 0003255519 scopus 로고    scopus 로고
    • Images of synchronized chaos: Experiments with circuits
    • Rulkov, N. F. [1996] "Images of synchronized chaos: Experiments with circuits", Chaos 6, 262-279.
    • (1996) Chaos , vol.6 , pp. 262-279
    • Rulkov, N.F.1
  • 26
    • 0033167720 scopus 로고    scopus 로고
    • Synchronization in the human cardiorespiratory system
    • Schäfer, C., Rosenblum, M. G., Abel, H.-H. & Kurths, J. [1999] "Synchronization in the human cardiorespiratory system," Phys. Rev. E60, 857-870.
    • (1999) Phys. Rev. , vol.E60 , pp. 857-870
    • Schäfer, C.1    Rosenblum, M.G.2    Abel, H.-H.3    Kurths, J.4
  • 27
    • 0001215210 scopus 로고
    • On the generation of a periodic motion from a trajectory doubly asymptotic to an equilibrium state of saddle type
    • Shilnikov, L. P. [1968] "On the generation of a periodic motion from a trajectory doubly asymptotic to an equilibrium state of saddle type," Math. USSR-Sb. 6, 428-438.
    • (1968) Math. USSR-Sb. , vol.6 , pp. 428-438
    • Shilnikov, L.P.1
  • 28
    • 0000764166 scopus 로고
    • On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
    • Shilnikov, A. L. [1993] "On bifurcations of the Lorenz attractor in the Shimizu-Morioka model," Physica D62, 338-346.
    • (1993) Physica , vol.D62 , pp. 338-346
    • Shilnikov, A.L.1
  • 29
    • 0002048562 scopus 로고
    • On the bifurcation of a symmetric limit cycle to an asymmetric one in a simple model
    • Shimizu, T. & Morioka, N. [1980] "On the bifurcation of a symmetric limit cycle to an asymmetric one in a simple model," Phys. Lett. A76, 201-204.
    • (1980) Phys. Lett. , vol.A76 , pp. 201-204
    • Shimizu, T.1    Morioka, N.2
  • 31
    • 0002023681 scopus 로고    scopus 로고
    • Onset of chaos in the weakly dissipative two-dimensional complex Ginzburg-Landau equation
    • Zaks, M., Nepomnyashchy, A. & Malomed, B. [1996] "Onset of chaos in the weakly dissipative two-dimensional complex Ginzburg-Landau equation," Physica Scripta T67, 143-147.
    • (1996) Physica Scripta , vol.T67 , pp. 143-147
    • Zaks, M.1    Nepomnyashchy, A.2    Malomed, B.3
  • 32
    • 0000210611 scopus 로고    scopus 로고
    • Alternating locking ratios in imperfect phase synchronization
    • Zaks, M. A., Park, E.-H., Rosenblum, M. G. & Kurths, J. [1999] "Alternating locking ratios in imperfect phase synchronization," Phys. Rev. Lett. 82, 4228-4231.
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4228-4231
    • Zaks, M.A.1    Park, E.-H.2    Rosenblum, M.G.3    Kurths, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.