TY - BOOK ID - 4864952 TI - Energy Flow Theory of Nonlinear Dynamical Systems with Applications PY - 2015 SN - 9783319177410 3319177400 9783319177403 3319177419 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Engineering. KW - Complexity. KW - Complex Systems. KW - Nonlinear Dynamics. KW - Thermodynamics. KW - Physics. KW - Ingénierie KW - Physique KW - Thermodynamique KW - Engineering & Applied Sciences KW - Computer Science KW - Nonlinear systems KW - Mathematical models. KW - Systems, Nonlinear KW - System theory. KW - Statistical physics. KW - Complexity, Computational. KW - System theory KW - Applications of Nonlinear Dynamics and Chaos Theory. KW - Chemistry, Physical and theoretical KW - Dynamics KW - Mechanics KW - Physics KW - Heat KW - Heat-engines KW - Quantum theory KW - Construction KW - Industrial arts KW - Technology KW - Computational complexity. KW - Mathematical statistics KW - Complexity, Computational KW - Electronic data processing KW - Machine theory KW - Systems, Theory of KW - Systems science KW - Science KW - Statistical methods KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:4864952 AB - 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. ER -