메뉴 건너뛰기




Volumn 193, Issue 4, 1996, Pages 863-875

Symmetry-restoring crises, period-adding and chaotic transitions in the cubic van der pol oscillator

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DAMPING; DYNAMICS; EQUATIONS OF MOTION; HYSTERESIS; INTEGRATION; SENSITIVITY ANALYSIS;

EID: 0030168580     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0319     Document Type: Article
Times cited : (11)

References (17)
  • 1
    • 0003582543 scopus 로고
    • Cambridge University Press. (For a good introduction on chaotic transitions, see chapter 8)
    • E. OTT 1993 Chaos in dynamical systems. Cambridge University Press. (For a good introduction on chaotic transitions, see chapter 8).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 2
    • 0025516771 scopus 로고
    • Transition to chaos in a generalized van der pol equation
    • T. KAPITANIAK and W.-H. STEEB 1990 Journal of Sound and Vibration 143, 167-170 Transition to chaos in a generalized van der Pol equation.
    • (1990) Journal of Sound and Vibration , vol.143 , pp. 167-170
    • Kapitaniak, T.1    Steeb, W.-H.2
  • 3
    • 11744254346 scopus 로고
    • Period-doubling cascades and devil's staircases of the driven van der pol oscillator
    • U. PARLITZ and W. LAUTERBORN 1987 Physical Review A 36, 1428-1434 Period-doubling cascades and devil's staircases of the driven van der Pol oscillator.
    • (1987) Physical Review A , vol.36 , pp. 1428-1434
    • Parlitz, U.1    Lauterborn, W.2
  • 4
    • 0001361357 scopus 로고
    • Absence of inversion-symmetric limit cycles of even periods and the chaotic motion of Duffing's oscillator
    • R. RATY, J. VON BOEHM and H. M. ISOMAKI 1984 Physics Letters A 103, 289-292 Absence of inversion-symmetric limit cycles of even periods and the chaotic motion of Duffing's oscillator.
    • (1984) Physics Letters A , vol.103 , pp. 289-292
    • Raty, R.1    Von Boehm, J.2    Isomaki, H.M.3
  • 5
    • 0026419524 scopus 로고
    • Non-periodic motion caused by grazing incidence in an impact oscillator
    • A. B. NORDMARK 1991 Journal of Sound and Vibration 145, 279-297 Non-periodic motion caused by grazing incidence in an impact oscillator.
    • (1991) Journal of Sound and Vibration , vol.145 , pp. 279-297
    • Nordmark, A.B.1
  • 6
    • 0001050846 scopus 로고
    • Border-collision bifurcations: An explanation for observed bifurcation phenomena
    • H. E. NUSSE, E. OTT and J. A. YORKE 1994 Physical Review E 49, 1073-1076 Border-collision bifurcations: An explanation for observed bifurcation phenomena.
    • (1994) Physical Review E , vol.49 , pp. 1073-1076
    • Nusse, H.E.1    Ott, E.2    Yorke, J.A.3
  • 8
    • 0038425290 scopus 로고
    • Observation of period-adding in an optogalvanic circuit
    • Y.-F. HUANG, T.-C. YEN and J.-L. CHERN 1995 Physics Letters A 199, 70-74 Observation of period-adding in an optogalvanic circuit.
    • (1995) Physics Letters A , vol.199 , pp. 70-74
    • Huang, Y.-F.1    Yen, T.-C.2    Chern, J.-L.3
  • 9
    • 0005159393 scopus 로고
    • Crisis and topological entropy
    • Y. S. FAN and T. R. CHAY 1995 Physical Review E 51, 1012-1019 Crisis and topological entropy.
    • (1995) Physical Review E , vol.51 , pp. 1012-1019
    • Fan, Y.S.1    Chay, T.R.2
  • 11
    • 24544478068 scopus 로고
    • Critical components for crisis-induced intermittency
    • C. GREBOGI, E. OTT, F. ROMEIRAS and J. A. YORKE 1987 Physical Review A 36, 5365-5380 Critical components for crisis-induced intermittency.
    • (1987) Physical Review A , vol.36 , pp. 5365-5380
    • Grebogi, C.1    Ott, E.2    Romeiras, F.3    Yorke, J.A.4
  • 12
    • 0000371387 scopus 로고
    • Regular window structure of a double-well duffing oscillator
    • V. ENGLISH and W. LAUTERBORN 1991 Physical Review A 44, 916-924 Regular window structure of a double-well Duffing oscillator.
    • (1991) Physical Review A , vol.44 , pp. 916-924
    • English, V.1    Lauterborn, W.2
  • 13
    • 0001426229 scopus 로고
    • Structure in the bifurcation diagram of the Duffing oscillator
    • R. GILMORE and J. W. L. MCCALLUM 1995 Physical Review E 51, 935-956 Structure in the bifurcation diagram of the Duffing oscillator.
    • (1995) Physical Review E , vol.51 , pp. 935-956
    • Gilmore, R.1    McCallum, J.W.L.2
  • 15
    • 0001363779 scopus 로고
    • Similarity structure and scaling property of the period adding phenomena
    • K. KANEKO 1983 Progress of Theoretical Physics 69, 403-414 Similarity structure and scaling property of the period adding phenomena.
    • (1983) Progress of Theoretical Physics , vol.69 , pp. 403-414
    • Kaneko, K.1
  • 16
    • 0000601493 scopus 로고
    • Using small perturbations to control chaos
    • T. SHINBROT, C. GREBOGI, E. OTT and J. A. YORKE 1993 Nature 363, 411-417 Using small perturbations to control chaos.
    • (1993) Nature , vol.363 , pp. 411-417
    • Shinbrot, T.1    Grebogi, C.2    Ott, E.3    Yorke, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.