Open AccessCharacteristic crisis in a system with distinguishable strong and weak dissipation functions
Author(s) -
Chao Xiao-gang,
Jun Dai,
Wang Wen-Xiu,
Daihai He
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.47
Subject(s) - attractor , dissipative system , concatenation (mathematics) , dissipation , physics , fractal , chaotic , boundary (topology) , classical mechanics , point (geometry) , statistical physics , mathematical analysis , quantum mechanics , mathematics , computer science , geometry , combinatorics , artificial intelligence
This article reports a crisis in a system described by a concatenation of a conservative and a dissipative mapping. The special feature of the crisis lies in its special escaping hole. A fat fractal forbidden net, induced by interaction between discontinuous and noninvertible properties, introduces rippled-like attraction basins of two periodic attractors, which appear after the crisis when a chaotic attractor suddenly loses stability. There are small areas, which serve as escaping holes and are dominated by strong dissipation as well as confined by the boundary of forbidden region only in the vicinity of each periodic point. To our knowledge, the crisis has not been reported before.