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Energy Flow Theory of Nonlinear Dynamical Systems with Applications

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Xing, Jing Tang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Emergence, Complexity and Computation, 17
Temas:
Acceso en línea:Texto Completo

MARC

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300 |a XVI, 299 p. 65 illus.  |b online resource. 
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490 1 |a Emergence, Complexity and Computation,  |x 2194-7295 ;  |v 17 
505 0 |a Introduction -- Dynamical Systems and Differential Equations -- Energy Flow of Nonlinear Dynamical Systems -- Energy Flow Theorems -- First Order Approximations and Matrix Spaces -- Energy Flow Characteristics of Local Bifurcations -- Energy Flows of Global Bifurcations -- Energy Flow Characteristics of Chaos -- Hamiltonian System -- Numerical Solutions of Energy Flows. 
520 |a 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, Rössler 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 and methods. 
650 0 |a Dynamics. 
650 0 |a Nonlinear theories. 
650 0 |a System theory. 
650 0 |a Nonlinear Optics. 
650 0 |a Thermodynamics. 
650 1 4 |a Applied Dynamical Systems. 
650 2 4 |a Complex Systems. 
650 2 4 |a Nonlinear Optics. 
650 2 4 |a Thermodynamics. 
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830 0 |a Emergence, Complexity and Computation,  |x 2194-7295 ;  |v 17 
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