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Titlebook: Energy Flow Theory of Nonlinear Dynamical Systems with Applications; Jing Tang Xing Book 2015 Springer International Publishing Switzerlan

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發(fā)表于 2025-3-21 19:14:55 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Energy Flow Theory of Nonlinear Dynamical Systems with Applications
編輯Jing Tang Xing
視頻videohttp://file.papertrans.cn/311/310280/310280.mp4
概述First book developing an energy flow theory to investigate nonlinear dynamical systems governed by vector field equations in phase space.Presents a set of generalized equations in phase space describi
叢書名稱Emergence, Complexity and Computation
圖書封面Titlebook: Energy Flow Theory of Nonlinear Dynamical Systems with Applications;  Jing Tang Xing Book 2015 Springer International Publishing Switzerlan
描述.This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing’s oscillator, Van der Pol’s equation, Lorenz attractor, R?ssler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory an
出版日期Book 2015
關(guān)鍵詞Duffing’s Equation; Energy Flow Field; Energy Flow Theory; Energy Flow in Vector Fields; Energy Flow of
版次1
doihttps://doi.org/10.1007/978-3-319-17741-0
isbn_softcover978-3-319-36834-4
isbn_ebook978-3-319-17741-0Series ISSN 2194-7287 Series E-ISSN 2194-7295
issn_series 2194-7287
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Energy Flow of Nonlinear Dynamical Systems,e used in the following chapters of this monograph. The generalised potential energy and kinetic energy in phase space are defined, which are two scalar variables embedded into the phase space to investigate the energy flow behaviour of nonlinear dynamical systems. The first one involves positions o
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Energy Flow Characteristics of Local Bifurcations,m developed from the Jacobian matrix, we propose a centre energy flow theorem based on the eigenvalues of the energy flow matrix, for which two examples are given to demonstrate its applications. Four simplest energy flow bifurcations of equilibria: saddle-node, transcritical, pitchfork and Hopf one
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發(fā)表于 2025-3-22 19:23:46 | 只看該作者
Energy Flows of Global Bifurcations,ow theorem relying upon the coordinate transformations transforms the general system into its normal form in the energy flow space, from which dynamical information can be deduced from the Taylor series of an energy flow at a single point. In this chapter, we shall consider dynamical properties whic
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Hamiltonian System,m and Marsden (1978 / 1980); Guckenheimer and Holmes (1983); Thompson and Stewart (1986); Zhu (1996, 2003). This chapter discusses the Hamiltonian system from the point view of energy flows. After giving the general fundamental equation governing Hamiltonian systems, its energy flow equations as wel
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https://doi.org/10.1007/978-3-662-25039-6tem involves only the energy flow matrix and the spin matrix concerns the possible periodical solution of the system. A physical explanation of this summation decomposition is given. The four matrix spaces: Jacobian, energy flow, spin and kinetic energy spaces are defined, and nonlinear dynamical systems are investigated in these four spaces.
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