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Volumn 4, Issue 3, 2005, Pages 224-230

On special types of two- and three-parametric bifurcations in piecewise-smooth dynamical systems

Author keywords

Big bang bifurcations; Co dimension two and three bifurcations; Multi parametric bifurcations; Period adding; Period increment; Piecewise smooth systems

Indexed keywords

CHAOS THEORY; DYNAMICS; LINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; SPECTRUM ANALYSIS;

EID: 29844456166     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (3)

References (14)
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  • 3
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    • Border collision bifurcations in one-dimensional discontinuous maps
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    • Two-parameter nonsmooth grazing bifurcations of limit cycles: Classification and open problems
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    • (2005)
    • Kowalczyk, P.1    Bernardo, M.2    Champneys, A.R.3    Hogan, S.J.4    Homer, M.5    Kuznetsov, Y.A.6    Nordmark, A.7    Piiroinen, P.8
  • 5
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    • Border-Collision Bifurcations including 'period two to period three' Bifurcation for Piecewise Smooth Systems
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    • Nusse, H.E.1    Yorke, J.A.2
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    • Nusse, H.E.1    Ott, E.2    Yorke, J.A.3
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    • Grazing bifurcations in impact oscillators
    • W. Chin, E. Ott, H. E. Nusse, and C. Grebogi. Grazing bifurcations in impact oscillators. Phys. Rev., E50(6):4427-4444, 1994.
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    • 0035911618 scopus 로고    scopus 로고
    • Grazing and Border-Collisions in Piecewise-Smooth Systems: A Unified Analytical Framework
    • M. di Bernardo, C. J. Budd, and A. R. Champneys. Grazing and Border-Collisions in Piecewise-Smooth Systems: A Unified Analytical Framework. Phys. Rev. Lett., 86(12):2554-2556, 2001.
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    • On behavior of dynamical systems with piecewise-smooth system function
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    • V. Avrutin. On behavior of dynamical systems with piecewise-smooth system function. PhD thesis, University of Stuttgart, 2004. (in german).
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    • On multi-parametric bifurcations in a scalar piecewise-linear map
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    • V. Avrutin and M. Schanz. On multi-parametric bifurcations in a scalar piecewise-linear map. submitted to Nonlinearity, 2005.
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    • V. Avrutin and M. Schanz. Self-similar Structures in 2D parameter space and the concept of big bang bifurcations. submitted to Phys. Rev. E, 2005.
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    • Avrutin, V.1    Schanz, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.