BOUNDARY CRISIS IN A 2D PIECE-WISE SMOOTH MAP* | Zendy

MA MING-QUAN | Zendy; Wang Wen-Xiu | Zendy; Da-Ren He | Zendy

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BOUNDARY CRISIS IN A 2D PIECE-WISE SMOOTH MAP*

Author(s) -

MA MING-QUAN,

Wang Wen-Xiu,

Da-Ren He

Publication year - 2000

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.49.1679

Subject(s) - attractor , boundary (topology) , eigenvalues and eigenvectors , chaotic , scaling , saddle , node (physics) , scaling law , saddle point , mathematical analysis , physics , computer science , geometry , mathematics , mathematical optimization , quantum mechanics , artificial intelligence

This paper analytically discusses the characteristics of boundary crisis in a mo del of impact oscillator,and proves that the scaling behavior of the life time after crisis follows the rule τ-ε-γ and γ=ln|β2|ln|β1β2|.Here β1 and β2 are the unstab le and stable eigenvalues,respectively,of a saddle node on the basin boundary of a chaotic attractor.This rule is completely different from that in everywhere-s mooth maps.

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