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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAnalytical Routes to Chaos in Nonlinear Engineering
205   $a1st ed.
210   $aHoboken $cWiley$d2014
215   $a1 online resource (278 p.)
300   $aDescription based upon print version of record.
311   $a1-118-88394-2 
327   $aCover; Title Page; Copyright; Contents; Preface; Chapter 1 Introduction; 1.1 Analytical Methods; 1.1.1 Lagrange Standard Form; 1.1.2 Perturbation Methods; 1.1.3 Method of Averaging; 1.1.4 Generalized Harmonic Balance; 1.2 Book Layout; Chapter 2 Bifurcation Trees in Duffing Oscillators; 2.1 Analytical Solutions; 2.2 Period-1 Motions to Chaos; 2.2.1 Period-1 Motions; 2.2.2 Period-1 to Period-4 Motions; 2.2.3 Numerical Simulations; 2.3 Period-3 Motions to Chaos; 2.3.1 Independent, Symmetric Period-3 Motions; 2.3.2 Asymmetric Period-3 Motions; 2.3.3 Period-3 to Period-6 Motions
327   $a2.3.4 Numerical IllustrationsChapter 3 Self-Excited Nonlinear Oscillators; 3.1 van del Pol Oscillators; 3.1.1 Analytical Solutions; 3.1.2 Frequency-Amplitude Characteristics; 3.1.3 Numerical Illustrations; 3.2 van del Pol-Duffing Oscillators; 3.2.1 Finite Fourier Series Solutions; 3.2.2 Analytical Predictions; 3.2.3 Numerical Illustrations; Chapter 4 Parametric Nonlinear Oscillators; 4.1 Parametric, Quadratic Nonlinear Oscillators; 4.1.1 Analytical Solutions; 4.1.2 Analytical Routes to Chaos; 4.1.3 Numerical Simulations; 4.2 Parametric Duffing Oscillators; 4.2.1 Formulations
327   $a4.2.2 Parametric Hardening Duffing OscillatorsChapter 5 Nonlinear Jeffcott Rotor Systems; 5.1 Analytical Periodic Motions; 5.2 Frequency-Amplitude Characteristics; 5.2.1 Period-1 Motions; 5.2.2 Analytical Bifurcation Trees; 5.2.3 Independent Period-5 Motion; 5.3 Numerical Simulations; References; Index
330   $aComprehensively covers analytical solutions of periodic motions to chaos in nonlinear dynamical systems, considering engineering applications, design and control   Analytical Routes to Chaos in Nonlinear Engineering discusses analytical solutions of periodic motions to chaos in nonlinear dynamical systems in engineering and considers engineering applications, design, and control. It systematically discusses complex nonlinear phenomena in engineering nonlinear systems, including the duffing oscillator, nonlinear self-excited systems, nonlinear parametric systems and nonlin
606   $aChaotic behavior in systems
606   $aNonlinear control theory
606   $aNonlinear systems
606   $aSystems engineering
615  4$aChaotic behavior in systems.
615  4$aNonlinear control theory.
615  4$aNonlinear systems.
615  4$aSystems engineering.
676   $a629.8/36
700   $aLuo$b Albert C. J$0720985
801  0$bAU-PeEL
801  1$bAU-PeEL
801  2$bAU-PeEL
906   $aBOOK
912   $a9910816425303321
996   $aAnalytical Routes to Chaos in Nonlinear Engineering$93943203
997   $aUNINA