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

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书目名称Energy Flow Theory of Nonlinear Dynamical Systems with Applications被引频次学科排名




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书目名称Energy Flow Theory of Nonlinear Dynamical Systems with Applications年度引用学科排名




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书目名称Energy Flow Theory of Nonlinear Dynamical Systems with Applications读者反馈学科排名

Clinch

invade

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

Ingrained

yohimbine

胆大

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

胆大

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

BABY

未开化

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

串通

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.