Ebook: Bifurcation and Chaos: Theory and Applications

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R&D or academia involves the practical consequence of chaotic dynamics.

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Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R&D or academia involves the practical consequence of chaotic dynamics.

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Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R&D or academia involves the practical consequence of chaotic dynamics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-7
Quantum Chaos and Ergodic Theory....Pages 9-16
On the Complete Characterization of Chaotic Attractors....Pages 17-45
New Numerical Methods for High Dimensional Hopf Bifurcation Problems....Pages 47-69
Catastrophe Theory and the Vibro-impact Dynamics of Autonomous Oscillators....Pages 71-95
Codimension Two Bifurcation and Its Computational Algorithm....Pages 97-132
Chaos and Its Associated Oscillations in Josephson Circuits....Pages 133-152
Chaos in Systems with Magnetic Force....Pages 153-190
Bifurcation and Chaos in the Helmholtz-Duffing Oscillator....Pages 191-215
Bifurcations and Chaotic Motions in Resonantly Excited Structures....Pages 217-251
Non-Linear Behavior of a Rectangular Plate Exposed to Airflow....Pages 253-272
Back Matter....Pages 273-275

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Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R&D or academia involves the practical consequence of chaotic dynamics.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-7
Quantum Chaos and Ergodic Theory....Pages 9-16
On the Complete Characterization of Chaotic Attractors....Pages 17-45
New Numerical Methods for High Dimensional Hopf Bifurcation Problems....Pages 47-69
Catastrophe Theory and the Vibro-impact Dynamics of Autonomous Oscillators....Pages 71-95
Codimension Two Bifurcation and Its Computational Algorithm....Pages 97-132
Chaos and Its Associated Oscillations in Josephson Circuits....Pages 133-152
Chaos in Systems with Magnetic Force....Pages 153-190
Bifurcation and Chaos in the Helmholtz-Duffing Oscillator....Pages 191-215
Bifurcations and Chaotic Motions in Resonantly Excited Structures....Pages 217-251
Non-Linear Behavior of a Rectangular Plate Exposed to Airflow....Pages 253-272
Back Matter....Pages 273-275
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