## Transient Chaos: Complex Dynamics on Finite Time ScalesThe aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines. |

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### Contents

Part II Physical Manifestations of Transient Chaos | 144 |

Part III HighDimensional Transient Chaos | 263 |

Part IV Applications of Transient Chaos | 340 |

Final Remarks | 435 |

Appendix A Multifractal Spectra
| 437 |

Appendix B Open Random Baker Maps
| 445 |

Appendix C Semiclassical Approximation
| 449 |

Appendix D Scattering Cross Sections
| 455 |

459 | |

491 | |

### Other editions - View all

Transient Chaos: Complex Dynamics on Finite Time Scales Ying-Cheng Lai,Tamás Tél No preview available - 2013 |

Transient Chaos: Complex Dynamics on Finite Time Scales Ying-Cheng Lai,Tamás Tél No preview available - 2011 |

### Common terms and phrases

advection American Physical Society angle approximately asymptotic average lifetime basin of attraction behavior bifurcation box-counting dimension c-measure Cantor set chaotic attractor chaotic repeller chaotic saddle chaotic transients characterized classical corresponding crisis cylinder decay defined denoted density deterministic distribution dynamical systems energy equation escape rate example exponential exponential decay finite fixed point flow fractal basin boundaries function H´enon map Hamiltonian high-dimensional information dimension initial conditions intersection interval invariant set invariant subspace iterations kind permission leak Lyapunov exponent natural measure noise-induced nonattracting chaotic set observed obtained one-dimensional map oscillations parameter particles periodic attractor perturbations phase space Poincar´e potential preimages probability quantum quasipotential recurrence riddled basin scaling scattering region Sect semiclassical shown in Fig spatiotemporal supertransients topological entropy trajectories transient chaos transiently chaotic two-dimensional maps typical unstable direction unstable manifold unstable periodic orbits variable velocity xn+1 zero