摘要
奇异吸引子以其富有特性的特殊形状已经成为众多出版物中混沌的符号和化身。只需对混沌系统的某一初始条件进行简单的积分即可得到相应的吸引子,然而,通常在理解奇异吸引子如何构成动力系统方面是非常困难的。最近不断发展的新工具对混沌吸引子以及分形集的可视化大有帮助。计算机仿真在提供混沌系统已知特性例证的同时,也提供了一个全新的数学视角。本文介绍了数学软件———Maple的应用,给出了非线性动力系统混沌特性的计算机仿真。
The strange attractor, with its characteristic special shape, has become a much-published symbol of chaos. It can be found by simply integrating almost any initial point. However, it is much more difficult to understand how the strange attractor organizes the dynamics. The development of the tools of dynamical systems has benefited much from the visualization of chaotic attractors and other fractal objects. Computer simulations are useful not only to illustrate known properties of chaotic systems, but also to gain new mathematical insight. This paper has been introduced to make use of the mathematics software--Maple. The computer simulation of chaos property in nonlinear system under maple environment is given.
出处
《计算机仿真》
CSCD
2004年第2期135-137,共3页
Computer Simulation
基金
国家自然科学基金资助(60074009
60274004)
