L. I. Mandel'shtam and the modern theory of nonlinear oscillations and waves
L. I. Mandel'shtam and the modern theory of nonlinear oscillations and waves
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L. I. Mandelshtam 与非线性振荡和波的现代理论
DOI：
10.1070/pu1979v022n08abeh005590
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发表时间：
1979
期刊：
影响因子：
2.7
通讯作者：
M. Rabinovich
中科院分区：
文献类型：
--
作者：
A. V. Gaponov;M. Rabinovich
本文根据L。I.曼德尔的百年纪念。论文的每一部分，分为振荡器，自振荡和调制部分，首先讨论经典模型及其在现代理论中所起作用的影响。注意力集中在简单系统的复杂行为的分析，集体现象和合奏的非线性振荡器，在空间中的自振荡，随机自振荡和波的启动，以及在非线性系统和介质的激励，转移和调制的起源等振荡理论和波动理论模型进行了讨论。
The principal models and phenomena of the modem theory of nonlinear oscillations and waves are briefly reviewed in observance of L. I. Mandel'shtam's centennial. Each part of the paper, broken down into sections on Oscillators, Self-oscillations, and Modulation, begins with a discussion of the classical models and effects of the role they play in the modern theory. Attention is concentrated on an analysis of complex behavior of simple systems, collective phenomena and ensembles of nonlinear oscillators, the initiation of self-oscillations in space, stochastic self-oscillations and waves, and the excitation, transfer, and origins of modulation in nonlinear systems and media, etc. Oscillation-theory and wave-theory models are discussed in parallel.