A NEW TYPE OF BOUNDARY CRISES: CHAOTIC BOUNDARY CRISES | Zendy

Ling Hong | Zendy; Jian-Xue Xu | Zendy

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A NEW TYPE OF BOUNDARY CRISES: CHAOTIC BOUNDARY CRISES

Author(s) -

Ling Hong,

Jian-Xue Xu

Publication year - 2001

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.50.612

Subject(s) - attractor , chaotic , crisis , saddle , boundary (topology) , chaotic hysteresis , fractal , physics , nonlinear system , boundary value problem , bifurcation , statistical physics , mathematical analysis , synchronization of chaos , computer science , mathematics , control theory (sociology) , quantum mechanics , mathematical optimization , control (management) , artificial intelligence

Crises of chaotic attractors are typical phenomena in nonlinear dynamical systems. By means of generalized cell mapping digraph (GCMD) method, we show that a chaotic boundary crisis results from a collision between a chaotic attractor and a chaotic saddle in the fractal basin boundary. In such a case the chaotic attractor, together with its basin of attraction, is suddenly destroyed as the parameter passes through a critical value, simultaneously the chaotic saddle also undergoes an abrupt enlargement in its size.

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