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Experimental study and characterization of chaos

Author: Bailin Hao
Publisher: Singapore ; New Jersey : World Scientific, ©1990.
Series: Directions in chaos, vol. 3.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Experimental study and characterization of chaos.
Singapore ; New Jersey : World Scientific, ©1990
(DLC) 90037623
(OCoLC)21560998
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bailin Hao
ISBN: 9789812832573 9812832572
OCLC Number: 841172144
Notes: "Most of the review papers in this volume are based on lecture notes from ... the School on Experimental Study of Chaotic Phenomena, held in Tianjin, China, on 5-12 May [1989] ... and the Workshop on Condensed Matter, Molecular, and Atomic Physics, held at ... Trieste, Italy in June- August [1989]"--Foreword.
Description: 1 online resource (vii, 459 pages) : illustrations.
Contents: FOREWORD; CONTENTS; TRANSITION TO TURBULENCE IN WEAKLY CONFINED CONVECTING SYSTEMS; Outlook; 1. Convection; 1.1. Instability Mechanism; 1.2. Nonlinear Convection, Degrees of Freedom, and Secondary Instabilities; 1.3. Transition to Turbulence in Convection; 2. Dynamics of Textures; 2.1. Example: Pattern Formation in Two Dimensions; 2.2. Envelope Equations; 2.3. Nonlinear Selection over Short to Intermediate Time Scales; 2.4. Long Term Nonlinear Selection and Phase Dynamics; 2.5. Nonlinear Selection and Transition to Weak Turbulence; 3. Spatio-temporal Intermittency; 3.1. Introduction. 3.2. Transition to Turbulence via STI3.3. STI in Coupled Map Lattices and Universality; 3.4. Experimental Observations of STI; 4. Bibliographical Notes; Acknowledgements; CYCLONIC-ANTICYCLONIC ASYMMETRY OF THE ROSSBY VORTICES IN LABORATORY, IN PLANETARY ATMOSPHERES AND IN OCEANS; 1. Statement of a problem; 2. Some problems in the theory of non-linear waves and Rossby solitons; 3. Experimental methods; 4. Monopole anticyclonic solitons and the cyclonic Rossby vortices in shallow water rotating, as a whole. Cyclonic-anticyclonic asymmetry. 5. Dipole Rossby vortices in shallow water, rotating, as a whole6. Rossby vortices in rotating shallow water in the presence of counter-streaming flows and the cyclonic-anticyclonic asymmetry; 7. Cyclonic-anticyclonic asymmetry in large long-lived vortices in planetary atmospheres and in oceans; 8. On the alternative experimental models of natural vortices of the Jovian GRS-type; References; Figure captions; COMPLEXITY AND SPACIAL MANIFESTATION OF TEMPORAL CHAOS; 1. Introduction; 2. Arguing By Analogies; 3. Dynamical And Statical Soliton Of The Euler Elastica; 3.1 The dynamical elastica. 4. LOCALIZED INSTABILITY WAVES AND CHAOTIC SOLITON4.1 General Remarks; 5. REFERENCES; INSTABILITIES AND CHAOS IN PLASTIC FLOW; 1. INTRODUCTION; 2. THE MODEL; 3. A MODEL FOR INSTABILITIES FOR PLASTIC FLOW; 4. CHAOTIC BEHAVIOUR; 5. SUMMARY; ACKNOWLEDGEMENT; REFERENCES; Transient Chaos; 1 Introduction; 2 General Concepts; 2.1 Escape rate; 2.2 Constructing the repeller; 2.3 The natural invariant distribution; 2.4 Characterization of the natural measure; 3 One-dimensional maps; 3.1 The natural distribution and its relation to the conditionally invariant measure. 3.2 Thermodynamic formalism for repellers3.3 Eigenvalue formalism; 3.4 Other measures on the repeller; 4 Two-dimensional maps; 4.1 Crisis and beyond; 4.2 A building block of chaotic repellers --
the baker's transformation; 4.3 Thermodynamics; 4.4 Organization around periodic orbits; 5 Applications; 5.1 Period doubling attractor; 5.2 Models of disordered systems; 5.3 Irregular scattering; 6 Discussion; 7 Acknowledgments; References; A CHARACTERIZATION OF CHAOS THROUGH PERIODIC POINTS; 1. Introduction; 2. Periodic Orbits; 3. Lozi Attractor; 4. Hénon Attractor; 5. Discussion; 6. Aknowledgements.
Series Title: Directions in chaos, vol. 3.
Responsibility: edited by Hao Bai-lin.

Abstract:

This 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 Triest.

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