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Titlebook: Nonlinear Resonances; Shanmuganathan Rajasekar,Miguel A. F. Sanjuan Book 2016 Springer International Publishing Switzerland 2016 Coupled o

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发表于 2025-3-21 16:06:55 | 显示全部楼层 |阅读模式
书目名称Nonlinear Resonances
编辑Shanmuganathan Rajasekar,Miguel A. F. Sanjuan
视频video
概述Written by leading experts in the field.Offers a systematic overview of all types of resonances and anti-resonances in dynamical systems.Provides detailed mathematical derivations and numerical techni
丛书名称Springer Series in Synergetics
图书封面Titlebook: Nonlinear Resonances;  Shanmuganathan Rajasekar,Miguel A. F. Sanjuan Book 2016 Springer International Publishing Switzerland 2016 Coupled o
描述.This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years..Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others...The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of re
出版日期Book 2016
关键词Coupled oscillators; Ghost resonance; Parametric resonance; Resonance and synchronization; Resonances in
版次1
doihttps://doi.org/10.1007/978-3-319-24886-8
isbn_softcover978-3-319-79693-2
isbn_ebook978-3-319-24886-8Series ISSN 0172-7389 Series E-ISSN 2198-333X
issn_series 0172-7389
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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书目名称Nonlinear Resonances读者反馈学科排名




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发表于 2025-3-21 21:22:27 | 显示全部楼层
Coherence and Chaotic Resonances,n a stochastic oscillator is nontrivial. That is, the increase of noise intensity need not always increase the irregularity of the response. An appropriate weak noise can give rise to a maximum coherence similar to the stochastic resonance but in the absence of any external periodic force.
发表于 2025-3-22 04:26:47 | 显示全部楼层
Harmonic and Nonlinear Resonances, called . or . when they take place after some initial action on a system in absence of any external forces. In a real physical system the amplitude of the natural oscillations decay due to the energy dissipation, and in the long time limit the system comes to a rest state which is an equilibrium position.
发表于 2025-3-22 05:12:52 | 显示全部楼层
Autoresonance,linear dynamical system to high energies by means of a weak driving force whose frequency is varying with time. Autoresonance was first realized in relativistic particle accelerators [3] and in the analysis of the cyclotron resonance stability [4].
发表于 2025-3-22 10:01:16 | 显示全部楼层
Signal Propagation in Unidirectionally Coupled Systems,identical or nonidentical) often forms a complex dynamical system with new fascinating properties that are not realizable in the individual systems. The fascinating properties include synchronous oscillations, induced oscillations, fast system response, computational power and so on.
发表于 2025-3-22 16:34:55 | 显示全部楼层
Slow Passage Through Resonance and Resonance Tongues,an .. then the amplitude of oscillation varies with time, reaches a maximum value at a certain time .′ such that . and then decreases. The new resonance frequency ..(.) is lower than the frequency ... This is termed as . and is a transient phenomenon. Such a passing through has been found to occur in systems exhibiting parametric resonance also.
发表于 2025-3-22 19:27:00 | 显示全部楼层
Nonlinear and Vibrational Resonances in Time-Delayed Systems,inite propagation time in biological networks, finite reaction times, memory effects, etc. [1–4]. On the other hand, in a variety of physical, engineering and biological systems the time-delayed coupling is inevitable because of finite propagation time of transport of information and energy [5–13].
发表于 2025-3-23 00:11:44 | 显示全部楼层
Parametric Resonance,occurs when one or more of its parameters vary periodically in time. When the parameter of an oscillator varies with time, then the oscillator is called a . or a parametrically driven oscillator. An example is the pendulum whose support oscillates vertically with an angular frequency . and a forcing amplitude . (Fig. 10.1).
发表于 2025-3-23 05:26:03 | 显示全部楼层
Book 2016. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made
发表于 2025-3-23 08:09:49 | 显示全部楼层
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