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000727388 020__ $$a9783319177410$$qelectronic book
000727388 020__ $$a3319177419$$qelectronic book
000727388 020__ $$z9783319177403
000727388 0247_ $$a10.1007/978-3-319-17741-0$$2doi
000727388 035__ $$aSP(OCoLC)ocn910513140
000727388 035__ $$aSP(OCoLC)910513140
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000727388 049__ $$aISEA
000727388 050_4 $$aQA427
000727388 08204 $$a003/.75$$223
000727388 1001_ $$aXing, Jing Tang,$$eauthor.
000727388 24510 $$aEnergy flow theory of nonlinear dynamical systems with applications$$h[electronic resource] /$$cJing Tang Xing.
000727388 264_1 $$aCham :$$bSpringer,$$c2015.
000727388 300__ $$a1 online resource (xvi, 299 pages) :$$billustrations.
000727388 336__ $$atext$$btxt$$2rdacontent
000727388 337__ $$acomputer$$bc$$2rdamedia
000727388 338__ $$aonline resource$$bcr$$2rdacarrier
000727388 4901_ $$aEmergence, Complexity and Computation,$$x2194-7287 ;$$vvolume 17
000727388 504__ $$aIncludes bibliographical references and index.
000727388 5050_ $$aIntroduction -- Dynamical Systems and Differential Equations -- Energy Flow of Nonlinear Dynamical Systems -- Energy Flow Theorems -- First Order Approximations and Matrix Spaces -- Energy Flow Characteristics of Local Bifurcations -- Energy Flows of Global Bifurcations -- Energy Flow Characteristics of Chaos -- Hamiltonian System -- Numerical Solutions of Energy Flows.
000727388 506__ $$aAccess limited to authorized users.
000727388 520__ $$aThis monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing?s oscillator, Van der Pol?s equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods.
000727388 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 4, 2015).
000727388 650_0 $$aNonlinear systems$$xMathematical models.
000727388 77608 $$iPrint version:$$z9783319177403
000727388 830_0 $$aEmergence. complexity and computation ;$$vvolume 17.
000727388 852__ $$bebk
000727388 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-17741-0$$zOnline Access$$91397441.1
000727388 909CO $$ooai:library.usi.edu:727388$$pGLOBAL_SET
000727388 980__ $$aEBOOK
000727388 980__ $$aBIB
000727388 982__ $$aEbook
000727388 983__ $$aOnline
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