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Volumn 92, Issue 7, 2004, Pages

Robust Dangerous Border-Collision Bifurcations in Piecewise Smooth Systems

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MAPPING; NETWORKS (CIRCUITS); PHASE SPACE METHODS; TRAJECTORIES;

EID: 1642601666     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.070201     Document Type: Article
Times cited : (49)

References (29)
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    • P.S. Linsay, Phys. Rev. Lett. 47, 1349 (1981). Linsay studied bifurcations in a driven anharmonic oscillator. The anharmonic oscillator built for his experiment was an RLC circuit. The oscillator exhibited period tripling and period quintupling bifurcations for which no explanation was available from the theory of differentiable dynamical systems. The latter bifurcations are border-collision bifurcations.10.1103/PhysRevLett.47.1349
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1349
    • Linsay, P.S.1
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    • J.H.B. Deane and D.C. Hamill, IEEE Trans. Power Electron.ITPEE8 5, 260 (1990). In fact, the experimental bifurcation diagram of the buck converter circuit displays the border-collision bifurcation from a periodic to a chaotic attractor. However, at that time it was not recognized as such and was interpreted as the well known period-doubling scenario.10.1109/63.56516
    • (1990) IEEE Trans. Power Electron. , vol.5 , pp. 260
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    • Budd, C.1    Dux, F.2
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.