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000728433 020__ $$a9783662472750$$qelectronic book
000728433 020__ $$a3662472759$$qelectronic book
000728433 020__ $$z9783662472743
000728433 035__ $$aSP(OCoLC)ocn915343752
000728433 035__ $$aSP(OCoLC)915343752
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000728433 049__ $$aISEA
000728433 050_4 $$aTA347.D45
000728433 08204 $$a515.35$$223
000728433 1001_ $$aLuo, Albert C. J.,$$eauthor.
000728433 24510 $$aDiscretization and implicit mapping dynamics$$h[electronic resource] /$$cAlbert C.J. Luo.
000728433 264_1 $$aHeidelberg :$$bSpringer ;$$aBeijing :$$bHigher Education Press,$$c2015.
000728433 300__ $$a1 online resource :$$billustrations
000728433 336__ $$atext$$btxt$$2rdacontent
000728433 337__ $$acomputer$$bc$$2rdamedia
000728433 338__ $$aonline resource$$bcr$$2rdacarrier
000728433 4901_ $$aNonlinear physical science
000728433 504__ $$aIncludes bibliographical references and index.
000728433 5050_ $$aIntroduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator.
000728433 506__ $$aAccess limited to authorized users.
000728433 520__ $$aThis unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.
000728433 650_0 $$aDifferential equations.
000728433 650_0 $$aNonlinear systems.
000728433 650_0 $$aDynamics.
000728433 830_0 $$aNonlinear physical science.
000728433 852__ $$bebk
000728433 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-662-47275-0$$zOnline Access$$91397441.1
000728433 909CO $$ooai:library.usi.edu:728433$$pGLOBAL_SET
000728433 980__ $$aEBOOK
000728433 980__ $$aBIB
000728433 982__ $$aEbook
000728433 983__ $$aOnline
000728433 994__ $$a92$$bISE