摘要
针对非光滑动力学系统特点,在胞映射思想基础上,引入拉回积分等分析手段,得到了非光滑系统吸引子和吸引域的胞映射计算方法.并以一类碰振系统为例,给出了其吸引子和具有复杂分形边界的吸引域,并验证了该方法的有效性.
In view of the characteristics of non-smooth dynamical systems, the pullback integral method is introduced into the impact process based on the cell-mapping method. The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated. Through the analysis of a nonlinear dynamical system with rigid constraints, coexistent attractors and domains of attraction with complicated fractal boundary are obtained. Compared with the phase portraits,the present results are validated to be reasonable.
出处
《固体力学学报》
EI
CAS
CSCD
北大核心
2007年第1期93-96,共4页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(10402011)资助
关键词
非光滑动力系统
胞映射
吸引子
吸引域
non-smooth dynamical system, cell-mapping, attractor, domain of attraction
