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Title: ANALYTICAL ROUTES TO CHAOS IN NONLINEAR ENGINEERING
By: Albert Luo
Format: Hardback

List price: £108.95
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ISBN 10: 1118883942
ISBN 13: 9781118883945
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Publisher: JOHN WILEY & SONS INC
Pub. date: 23 June, 2014
Pages: 274
Description: 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.
Synopsis: 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. Key features: * Considers engineering applications, design and control * Presents analytical techniques to show how to find the periodic motions to chaos in nonlinear dynamical systems * Systematically discusses complex nonlinear phenomena in engineering nonlinear systems * Presents extensively used nonlinear models in engineering Analytical Routes to Chaos in Nonlinear Engineering is a practical reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.
Illustrations: illustrations
Publication: US
Imprint: John Wiley & Sons Inc
Returns: Returnable
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ANALYTICAL ROUTES TO CHAOS IN NONLINEAR ENGINEERING
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BIFURCATION AND STABILITY IN NONLINEAR DYNAMICAL SYSTEMS
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COMPLEX SYSTEMS (HB)
DISCONTINUITY AND COMPLEXITY IN NONLINEAR PHYSICAL SYSTEMS (HB)
DISCONTINUITY AND COMPLEXITY IN NONLINEAR PHYSICAL SYSTEMS (PB)
DISCONTINUOUS DYNAMICAL SYSTEMS (HB)
DISCONTINUOUS DYNAMICAL SYSTEMS ON TIME-VARYING DOMAINS (HB)
DISCRETIZATION AND IMPLICIT MAPPING DYNAMICS (HB)
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DYNAMICAL SYSTEM SYNCHRONIZATION (HB)
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DYNAMICAL SYSTEMS AND METHODS (HB)
DYNAMICAL SYSTEMS AND METHODS (PB)
DYNAMICS, ACOUSTICS AND SIMULATIONS
FRACTIONAL DYNAMICS AND CONTROL (HB)
FRACTIONAL DYNAMICS AND CONTROL (PB)
GALLOPING INSTABILITY TO CHAOS OF CABLES
GALLOPING INSTABILITY TO CHAOS OF CABLES (HB)
GLOBAL ANALYSIS OF NONLINEAR DYNAMICS (HB)
GLOBAL ANALYSIS OF NONLINEAR DYNAMICS (PB)
GLOBAL TRANSVERSALITY, RESONANCE AND CHAOTIC DYNAMICS (HB)
HAMILTONIAN CHAOS BEYOND THE KAM THEORY (HB)
LONG-RANGE INTERACTIONS, STOCHASTICITY AND FRACTIONAL DYNAMICS (HB)
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NONLINEAR AND COMPLEX DYNAMICS (PB)
NONLINEAR DEFORMABLE-BODY DYNAMICS (HB)
NONLINEAR DYNAMICS AND COMPLEXITY (HB)
NONLINEAR DYNAMICS AND COMPLEXITY (PB)
NONLINEAR SCIENCE AND COMPLEXITY (HB)
NONLINEAR SCIENCE AND COMPLEXITY (PB)
NONLINEAR SCIENCE AND COMPLEXITY - PROCEEDINGS OF THE CONFERENCE (HB)
NONLINEAR VIBRATION REDUCTION
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PERIODIC FLOWS TO CHAOS IN TIME-DELAY SY (PB)
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PERIODIC MOTIONS TO CHAOS IN A SPRING-PENDULUM SYSTEM
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POLYNOMIAL FUNCTIONAL DYNAMICAL SYSTEMS
POLYNOMIAL FUNCTIONAL DYNAMICAL SYSTEMS
POLYNOMIAL FUNCTIONAL DYNAMICAL SYSTEMS (HB)
REGULARITY AND COMPLEXITY IN DYNAMICAL SYSTEMS (HB)
REGULARITY AND COMPLEXITY IN DYNAMICAL SYSTEMS (PB)
SINGULARITY AND DYNAMICS ON DISCONTINUOUS VECTOR FIELDS (HB)
STOCHASTIC DYNAMICS AND CONTROL (HB)
SYSTEM DYNAMICS WITH INTERACTION DISCONTINUITY (HB)
SYSTEM DYNAMICS WITH INTERACTION DISCONTINUITY (PB)
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