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Volumn 199, Issue 2, 1997, Pages 165-175

The coexistence of periodic, almost-periodic and chaotic attractors in the van der Pol-Duffing oscillator

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; RESONANCE; TOPOLOGY;

EID: 0030647521     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0648     Document Type: Article
Times cited : (36)

References (20)
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    • Van Der Pol, B.1
  • 5
    • 0006493968 scopus 로고
    • Chaos in electrical and electronic circuits and systems
    • T. ENDO and T. SAITO 1990 Transactions of the IEICE E73, 763-771. Chaos in electrical and electronic circuits and systems.
    • (1990) Transactions of the IEICE , vol.E73 , pp. 763-771
    • Endo, T.1    Saito, T.2
  • 6
    • 11744254346 scopus 로고
    • Period-doubling cascade and devil's staircase of the driven van der Pol oscillator
    • U. PARLITZ and W. LAUTERBORN 1987 Physical Review A 36, 1428-1434. Period-doubling cascade and devil's staircase of the driven van der Pol oscillator.
    • (1987) Physical Review A , vol.36 , pp. 1428-1434
    • Parlitz, U.1    Lauterborn, W.2
  • 7
    • 38249005344 scopus 로고
    • Rich bifurcation behaviors of the driven van der Pol oscillator
    • G. QUIN, D. DONG, R. LI and X. WEN 1989 Physics Letters A 141, 412-416. Rich bifurcation behaviors of the driven van der Pol oscillator.
    • (1989) Physics Letters A , vol.141 , pp. 412-416
    • Quin, G.1    Dong, D.2    Li, R.3    Wen, X.4
  • 8
    • 84988008696 scopus 로고
    • Destruction of quasiperiodic oscillations in weakly nonlinear systems
    • A. B. BELOGORTSEV, D. M. VAVRIV and O. A. TRETYAKOV 1993 Applied Mechanics Review 46, 372-384. Destruction of quasiperiodic oscillations in weakly nonlinear systems.
    • (1993) Applied Mechanics Review , vol.46 , pp. 372-384
    • Belogortsev, A.B.1    Vavriv, D.M.2    Tretyakov, O.A.3
  • 9
    • 0039825435 scopus 로고
    • Analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation
    • J. BRINDLEY, T. KAPITANIAK and M. S. EL NASCHIE 1991 Physica D 51, 28-38. Analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation.
    • (1991) Physica D , vol.51 , pp. 28-38
    • Brindley, J.1    Kapitaniak, T.2    El Naschie, M.S.3
  • 10
    • 0019543781 scopus 로고
    • Chaotically transitional phenomena in the forced negative-resistance oscillator
    • Y. UEDA and N. AKAMATSU 1981 IEEE Transactions on Circuits and Systems CAS-28, 217-223. Chaotically transitional phenomena in the forced negative-resistance oscillator.
    • (1981) IEEE Transactions on Circuits and Systems , vol.CAS-28 , pp. 217-223
    • Ueda, Y.1    Akamatsu, N.2
  • 12
    • 0010936255 scopus 로고
    • Chaotic oscillations in nonautonomous with reactive nonlinearity
    • A. S. DIMITRIEV, W. A. KISHOV and A. G. SPIRO 1983 Radiotechnika i Elektronika 12, 2430-2439. Chaotic oscillations in nonautonomous with reactive nonlinearity (in Russian).
    • (1983) Radiotechnika i Elektronika , vol.12 , pp. 2430-2439
    • Dimitriev, A.S.1    Kishov, W.A.2    Spiro, A.G.3
  • 13
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    • Bifurcations of a particular forced van der Pol oscillator
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    • (1983) Meccanica , vol.18 , pp. 195-204
    • Arrowsmith, D.K.1    Taha, K.J.2
  • 17
    • 0343970775 scopus 로고
    • Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance
    • W. SZEMPLIŃSKA-STUPNICKA and J. RUDOWSKI 1994 Physics Letters A 192, 201-206. Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance.
    • (1994) Physics Letters A , vol.192 , pp. 201-206
    • Szemplińska-Stupnicka, W.1    Rudowski, J.2
  • 19
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    • Crisis, sudden changes in chaotic attractors and transient chaos
    • C. GREBOGI, E. OTT and J. A. YORKE 1983 Physica D 7, 181-200. Crisis, sudden changes in chaotic attractors and transient chaos.
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  • 20


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.