Stochastic and Chaotic Oscillations
Stochastic and Chaotic Oscillations
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随机和混沌振荡
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
P. Landa
中科院分区：
文献类型：
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作者：
I. Neĭmark;P. Landa
本卷致力于耗散系统中的随机和混沌振荡。它首先处理确定性、离散和分布式动力系统的数学模型。然后考虑了有序和混沌两种基本趋势，并描述了随机变压器、放大器和发电机、稳态运动的湍流和相位肖像及其分岔。这些书还讨论了随机和混沌吸引子的主题，以及混沌的路径和随机和混沌运动的定量特征。最后，在占全书三分之一的一章中，给出了从机械、物理、化学和生物系统中提取的具有混沌和随机运动的系统的例子。
This volume is devoted to stochastic and chaotic oscillations in dissipative systems. It first deals with mathematical models of deterministic, discrete and distributed dynamical systems. It then considers the two basic trends of order and chaos, and describes stochasticity transformers, amplifiers and generators, turbulence and phase portraits of steady-state motions and their bifurcations. The books also treats the topics of stochastic and chaotic attractors, as well as the routes to chaos and the quantitative characteristics of stochastic and chaotic motions. Finally, in a chapter which comprises more than one-third of the book, examples are presented of systems having chaotic and stochastic motions drawn from mechanical, physical, chemical and biological systems.