Escape from a Riddled-Like Basin

作     者：巢小刚 戴俊 王文秀 何大韧 

作者机构：College of Physics Science and Technology Yangzhou University Yangzhou 225002 Information Science Department Jiangsu Polytechnic University Changzhou 213016 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2005年第22卷第12期

页      面：3025-3028页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10275053 

主　　题：QUASI-DISSIPATIVE SYSTEM CRISIS ATTRACTORS WEB 

摘      要：We investigate a system described by a conservative and a dissipative map concatenation. A fat fractal forbidden net, induced by interaction between discontinuous and noninvertible properties, introduces rippled-like attraction basins of two periodic attractors. Small areas, which serve as escaping holes of a new type of crisis, are dominated by conventional strong dissipation and are bounded by the forbidden region, but only in the vicinity of each periodic point. Based on this understanding, the scaling behaviour of the averaged lifetime of the crisis is analytically and numerically determined to be （τ） ∝ （b-b0）^γ, where b denotes the control parameter, bo denotes its critical threshold, and γ≌-1.5.