## Chaotic Oscillators: Theory and ApplicationsThis volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection. |

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### Contents

Dimensions of Strange Nonchaotic Attractors | 470 |

Route to Chaos via Strange Nonchaotic Attractors | 476 |

On the Connection between Statical and Dynamical Chaos | 488 |

Spatial Chaos and Localization Phenomena in Nonlinear | 524 |

Spatiotemporal Dynamics in a Dispersively Coupled Chain | 537 |

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### Common terms and phrases

amplitude analysis analytic approximate asymptotic average basin of attraction behavior bifurcation diagram calculation Cantor set chaos chaotic attractor chaotic behaviour chaotic motion Chua's Circuit consider corresponding criterion damping defined deterministic differential equation dimension Duffing Duffing's equation dynamical systems equilibrium example experimental Figure finite fixed point forced fractal basin boundaries frequency Grebogi Hamiltonian harmonic Holmes homoclinic orbits impact oscillator initial conditions integration Josephson junction Lett linear Lorenz Lyapunov exponents Marsden Math Melnikov function noise nonlinear oscillators observed obtained occur parameter pendulum period-doubling bifurcation periodic orbit perturbation phase plane phase portraits phase space phase-locked Phys plot Poincare map problem quasiperiodic random region resonance curve Rossler saddle shown in Fig shows simulation snap-through solution spatial spectral spectrum strange attractor strange nonchaotic attractors structure subharmonic symmetry term tion torus trajectory transient transition unperturbed unstable manifolds vector vibrations winding number York zero