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Energy Flow Theory of Nonlinear Dynamical Systems with Applications

Jing Tang Xing (Autor)

Buch | Hardcover

XVI, 299 Seiten

2015
Springer International Publishing (Verlag)
978-3-319-17740-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	10.6.2015
Reihe/Serie	Emergence, Complexity and Computation
Zusatzinfo	XVI, 299 p. 65 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	Complexity • Duffing's Equation • Duffing’s Equation • Energy Flow Field • Energy Flow in Vector Fields • Energy Flow of Bifurcations • Energy Flow of Chaos • Energy Flow Theory • nonlinear dynamical systems • Power Flow Analysis • Van der Pol's System • Van der Pol’s System
ISBN-10	3-319-17740-0 / 3319177400
ISBN-13	978-3-319-17740-3 / 9783319177403
Zustand	Neuware