## Experimental Study and Characterization of Chaos, Volume 1This is a continuation of the previous two volumes of review papers on chaotic dynamics and related topics, published in 1987 and 1988 respectively. In addition to a few reviews written by active researchers specially for the volume, it also contains several reviews based on lectures delivered at the Spring School on Experimental Study of Chaotic Phenomena, held in Tianjing, China, in May 1989, and at the session on Nonlinear Dynamics during the Workshop on Condensed Matter, Molecular and Atomic Physics, held in June - August, 1989, at the International Centre for Theoretical Physics at Trieste, Italy. The emphasis has been made on multifractals, applied symbolic dynamics, the role of unstable orbits and transient chaos. This volume would be useful to graduate students and researchers in physical sciences and engineering. |

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### Contents

Cyclonic Anticyclonic Asymmetry of the Rossby Vertices | 43 |

Complexity and Spacial Manifestation of Temporal Chaos | 111 |

Instabilities and Chaos in Plastic Flow | 133 |

Transient Chaos | 149 |

A Characterization of Chaos Through Periodic Points | 213 |

Multifractals | 227 |

Applied Symbolic Dynamics | 363 |

### Common terms and phrases

admissibility condition admissible words anticyclones approximation asymmetry behaviour bifurcation diagram Cantor set chaotic attractors chaotic repeller circle map composition rule consider construction convection corresponding cycles cyclones cylinders defined denote dimensional discussed dynamical systems eigenvalues equation example experimental exponential dimension Farey Feigenbaum finite fixed point fluid follows fractal dimension free energy generalised dimensions given Henon interval iteration Jovian Julia set kneading sequence length scales Lett linear logistic map Lyapunov exponents MSS Table multifractal analysis natural measure nonlinear observed obtained one-dimensional maps parameter partition function period doubling periodic orbits phase space Phys Phys.Rev physical preimage probability Procaccia properties region relation Rossby soliton scaling function shift-maximal shown in Fig spacial stable strange attractor string structure superstable symbolic dynamics symbolic sequences theoretical topological entropy trajectories transfer matrix transient chaos transition turbulence unimodal map unstable manifolds unstable periodic values velocity vortex vortices winding number