메뉴 건너뛰기




Volumn 44, Issue 10, 1997, Pages 856-866

An introduction to the synchronization of chaotic systems: Coupled skew tent maps

Author keywords

Chaos; Lyapunov exponents; Nonlinear systems; Synchronization

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; SYNCHRONIZATION;

EID: 0031257484     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.633874     Document Type: Article
Times cited : (134)

References (20)
  • 1
    • 0002256723 scopus 로고    scopus 로고
    • "Stability theory of synchronized motion in coupled oscillator systems,"
    • vol. 69, p. 32, 1983.
    • H. Fujisaka and T. Yamada, "Stability theory of synchronized motion in coupled oscillator systems," Progr. Theor. Phys., vol. 69, p. 32, 1983.
    • Progr. Theor. Phys.
    • Fujisaka, H.1    Yamada, T.2
  • 2
    • 34250135918 scopus 로고    scopus 로고
    • "On the interaction of strange attractors,"
    • 55, p. 149, 1984.
    • A. S. Pikovsky, "On the interaction of strange attractors," Z. Physik, vol. B55, p. 149, 1984.
    • Z. Physik, Vol. B
    • Pikovsky, A.S.1
  • 3
    • 0022785147 scopus 로고    scopus 로고
    • "Stochastically synchronized oscillators in dissipative systems,"
    • vol. 29, p. 795, 1986, in Russian.
    • V. Afraimovich, N. Veritchev, and M. Rabinovich, "Stochastically synchronized oscillators in dissipative systems," Radiophys. Quantum Electron., vol. 29, p. 795, 1986, in Russian.
    • Radiophys. Quantum Electron.
    • Afraimovich, V.1    Veritchev, N.2    Rabinovich, M.3
  • 4
    • 0343689904 scopus 로고    scopus 로고
    • "Synchronization in chaotic systems,"
    • vol. 64, pp. 821-824, 1990.
    • L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, pp. 821-824, 1990.
    • Phys. Rev. Lett.
    • Pecora, L.M.1    Carroll, T.L.2
  • 5
    • 33747749629 scopus 로고    scopus 로고
    • "Engineering chaos for encryption and broadband communication,"
    • vol. 353, pp. 115-126, 1995.
    • M. Hasler, "Engineering chaos for encryption and broadband communication," Philosoph. Trans. Royal Soc. London, Trans. A, vol. 353, pp. 115-126, 1995.
    • Philosoph. Trans. Royal Soc. London, Trans. a
    • Hasler, M.1
  • 6
    • 33747797817 scopus 로고    scopus 로고
    • Synchronization of chaotic systems and transmission of information,"
    • Synchronization of chaotic systems and transmission of information," Int. J. Bifurc. Chaos, to be published.
    • Int. J. Bifurc. Chaos, to Be Published.
  • 8
    • 33744891845 scopus 로고    scopus 로고
    • "Bubbling of attractors and synchronization of chaotic oscillators,"
    • vol. 193, pp. 126-139, 1994.
    • P. Ashwin, J. Buescu, and I. Stewart, "Bubbling of attractors and synchronization of chaotic oscillators," Phys. Lett. A, vol. 193, pp. 126-139, 1994.
    • Phys. Lett. a
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 9
    • 33847582932 scopus 로고    scopus 로고
    • "Blowout bifurcations: The occurrence of riddled basins,"
    • vol. 188, pp. 39-47, 1994.
    • E. Ott and J. C. Sommerer, "Blowout bifurcations: The occurrence of riddled basins," Phys. Lett. A, vol. 188, pp. 39-47, 1994.
    • Phys. Lett. a
    • Ott, E.1    Sommerer, J.C.2
  • 10
    • 0001836881 scopus 로고    scopus 로고
    • "Riddling bifurcation in chaotic dynamical systems,"
    • vol. 77, pp. 55-58, 1996.
    • Y.-C. Lai, C. Grebogi, and J. A. Yorke, "Riddling bifurcation in chaotic dynamical systems," Phys. Rev. Lett., vol. 77, pp. 55-58, 1996.
    • Phys. Rev. Lett.
    • Lai, Y.-C.1    Grebogi, C.2    Yorke, J.A.3
  • 11
    • 6144229366 scopus 로고    scopus 로고
    • "From attractor to chaotic saddle: A tale of transverse instability,"
    • vol. 9, pp. 703-737, 1996.
    • P. Ashwin, J. Buescu, and I. Stewart, "From attractor to chaotic saddle: A tale of transverse instability," Nonlinearity, vol. 9, pp. 703-737, 1996.
    • Nonlinearity
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 12
    • 0000432048 scopus 로고    scopus 로고
    • "Different types of chaos synchronization in two coupled piecewise linear maps,"
    • vol. 54, pp. 3285-3292, 1996.
    • Y. Maistrenko and T. Kapitaniak, "Different types of chaos synchronization in two coupled piecewise linear maps," Phys. Rev. E, vol. 54, pp. 3285-3292, 1996.
    • Phys. Rev. E
    • Maistrenko, Y.1    Kapitaniak, T.2
  • 13
    • 12044254838 scopus 로고    scopus 로고
    • "Experimental and numerical evidence for riddled basins in coupled chaotic systems,"
    • vol. 73, pp. 3528-3531, 1994.
    • J. F. Haegy, T. L. Carroll, and L. Peccora, "Experimental and numerical evidence for riddled basins in coupled chaotic systems," Phys. Rev. Lett., vol. 73, pp. 3528-3531, 1994.
    • Phys. Rev. Lett.
    • Haegy, J.F.1    Carroll, T.L.2    Peccora, L.3
  • 15
    • 0030705701 scopus 로고    scopus 로고
    • "Correlation theory of a class of N-dimensional piecewise linear Markov systems,"
    • 97, Hong Kong, 1997, pp. 1049-1052.
    • M. Götz and W. Schwarz, "Correlation theory of a class of N-dimensional piecewise linear Markov systems," in Proc. ISCAS'97, Hong Kong, 1997, pp. 1049-1052.
    • Proc. ISCAS'
    • Götz, M.1    Schwarz, W.2
  • 16
    • 0009323407 scopus 로고    scopus 로고
    • "Chaotic synchronization in ensembles of locally and globally coupled discrete-time dynamical systems. Rigorous results and computer simulation"
    • 95, Dublin, Ireland, 1995, pp. 287-290.
    • A. Dmitriev, M. Shirokov, and S. Starkov, "Chaotic synchronization in ensembles of locally and globally coupled discrete-time dynamical systems. Rigorous results and computer simulation" in Proc. NDES'95, Dublin, Ireland, 1995, pp. 287-290.
    • Proc. NDES'
    • Dmitriev, A.1    Shirokov, M.2    Starkov, S.3
  • 17
    • 35949018382 scopus 로고    scopus 로고
    • "Ergodic theory of chaos and strange attractors,"
    • vol. 57, pp. 617-656, 1985.
    • J.-P. Eckmann and D. Ruelle, "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys., vol. 57, pp. 617-656, 1985.
    • Rev. Mod. Phys.
    • Eckmann, J.-P.1    Ruelle, D.2
  • 19
    • 0000543733 scopus 로고    scopus 로고
    • "A multiplicative ergodic theorem. Lyapunov character-istic numbers for dynamical systems,"
    • vol. 19, pp. 197-221, 1968.
    • V. I. Oseledec, "A multiplicative ergodic theorem. Lyapunov character-istic numbers for dynamical systems," Trans. Moscow Math. Soc., vol. 19, pp. 197-221, 1968.
    • Trans. Moscow Math. Soc.
    • Oseledec, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.