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010 _a 2014001974
011 _aBIB MATCHES WORLDCAT
020 _a1118883942
_qcloth
020 _a9781118883945
_qcloth
035 _a(ATU)b13556265
035 _a(OCoLC)875770962
040 _aDLC
_beng
_erda
_cDLC
_dYDX
_dBDX
_dYDXCP
_dUKMGB
_dATU
042 _apcc
050 0 0 _aTA168
_b.L86 2014
082 0 0 _a629.836
_223
100 1 _aLuo, Albert C. J.
_eauthor.
_9277382
245 1 0 _aAnalytical routes to chaos in nonlinear engineering /
_cAlbert C.J. Luo, Southern Illinois University, USA.
264 1 _aChichester, West Sussex, United Kingdom :
_bJohn Wiley & Sons Inc.,
_c2014.
264 4 _c©2014
300 _ax, 266 pages :
_billustrations ;
_c25 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 0 _a1. Introduction -- 2. Bifurcation Trees in Duffing Oscillators -- 3. Self-Excited Nonlinear Oscillators -- 4. Parametric Nonlinear Oscillators -- 5. Nonlinear Jeffcott Rotor Systems -- --
505 0 0 _g1.
_tIntroduction --
_g1.1.
_tAnalytical Methods --
_g1.1.1.
_tLagrange Standard Form --
_g1.1.2.
_tPerturbation Methods --
_g1.1.3.
_tMethod of Averaging --
_g1.1.4.
_tGeneralized Harmonic Balance --
_g1.2.
_tBook Layout --
_g2.
_tBifurcation Trees in Duffing Oscillators --
_g2.1.
_tAnalytical Solutions --
_g2.2.
_tPeriod-1 Motions to Chaos --
_g2.2.1.
_tPeriod-1 Motions --
_g2.2.2.
_tPeriod-1 to Period-4 Motions --
_g2.2.3.
_tNumerical Simulations --
_g2.3.
_tPeriod-3 Motions to Chaos --
_g2.3.1.
_tIndependent, Symmetric Period-3 Motions --
_g2.3.2.
_tAsymmetric Period-3 Motions --
_g2.3.3.
_tPeriod-3 to Period-6 Motions --
_g2.3.4.
_tNumerical Illustrations --
_g3.
_tSelf-Excited Nonlinear Oscillators --
_g3.1.
_tvan del Pol Oscillators --
_g3.1.1.
_tAnalytical Solutions --
_g3.1.2.
_tFrequency-Amplitude Characteristics --
_g3.1.3.
_tNumerical Illustrations --
_g3.2.
_tvan del Pol-Duffing Oscillators --
_g3.2.1.
_tFinite Fourier Series Solutions --
_g3.2.2.
_tAnalytical Predictions --
_g3.2.3.
_tNumerical Illustrations --
_g4.
_tParametric Nonlinear Oscillators --
_g4.1.
_tParametric, Quadratic Nonlinear Oscillators --
_g4.1.1.
_tAnalytical Solutions --
_g4.1.2.
_tAnalytical Routes to Chaos --
_g4.1.3.
_tNumerical Simulations --
_g4.2.
_tParametric Duffing Oscillators --
_g4.2.1.
_tFormulations --
_g4.2.2.
_tParametric Hardening Duffing Oscillators --
_g5.
_tNonlinear Jeffcott Rotor Systems --
_g5.1.
_tAnalytical Periodic Motions --
_g5.2.
_tFrequency-Amplitude Characteristics --
_g5.2.1.
_tPeriod-1 Motions --
_g5.2.2.
_tAnalytical Bifurcation Trees --
_g5.2.3.
_tIndependent Period-5 Motion --
_g5.3.
_tNumerical Simulations.
520 _a"Nonlinear problems are of interest to engineers, physicists and mathematicians and many other scientists because most systems are inherently nonlinear in nature. As nonlinear equations are difficult to solve, nonlinear systems are commonly approximated by linear equations. This works well up to some accuracy and some range for the input values, but some interesting phenomena such as chaos and singularities are hidden by linearization and perturbation analysis. It follows that some aspects of the behavior of a nonlinear system appear commonly to be chaotic, unpredictable or counterintuitive. Although such a chaotic behavior may resemble a random behavior, it is absolutely deterministic. Analytical Routes to Chaos in Nonlinear Engineering discusses analytical solutions of periodic motions to chaos or quasi-periodic motions 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 periodically forced Duffing oscillator, nonlinear self-excited systems, nonlinear parametric systems and nonlinear rotor systems. Nonlinear models used in engineering are also presented and a brief history of the topic is provided."--Publisher's website.
650 0 _aSystems engineering
_9341891
650 0 _aChaotic behavior in systems.
_9315154
650 0 _aNonlinear systems.
_9328538
650 0 _aNonlinear control theory.
_9327326
776 0 8 _iOnline version:
_aLuo, Albert C. J.
_tAnalytical routes to chaos in nonlinear engineering
_dChichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2014
_z9781118883914
_w(DLC) 2014013648
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