Introduction to chaos: physics and mathematics of chaotic phenomena
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Japanese |
| Published: |
Bristol [u.a.]
Inst. of Physics Publ.
1999
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Japan. übers. |
| Physical Description: | VIII, 168 S. Ill., graph. Darst. |
| ISBN: | 075030507X 0750305088 |
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| 264 | 1 | |a Bristol [u.a.] |b Inst. of Physics Publ. |c 1999 | |
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Record in the Search Index
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| adam_text | INTRODUCTION TO CHAOS PHYSICS AND MATHEMATICS OF CHAOTIC PHENOMENA I
HIROYUKI NAGASHIMA AND YOSHIKAZU BABA SHIZUOKA UNIVERSITY, SHIZUOKA,
JAPAN TRANSLATED FROM JAPANESE BY MIKIO NAKAHARA KINKI UNIVERSITY,
HIGASHI-OSAKA, JAPAN INSTITUTE OF PHYSICS PUBLISHING BRISTOL AND
PHILADELPHIA CONTENTS PREFACE TO THE FIRST (JAPANESE) EDITION VII
PREFACE TO THE ENGLISH EDITION N VIII WHAT IS CHAOS? 1 1.1 WHAT IS
CHAOS? 1 1.2 CHARACTERISTICS OF CHAOS 5 1.3 CHAOS IN NATURE 9 LI-YORKE
CHAOS, TOPOLOGICAL ENTROPY AND LYAPUNOV NUMBER 13 2.1 LI-YORKE THEOREM
AND SHARKOVSKI S THEOREM 13 2.2 PERIODIC ORBITS 16 2.3 LI-YORKE THEOREM
(CONTINUED) 22 2.4 SCRAMBLED SET AND OBSERVABILITY OF LI-YORKE CHAOS 23
2.5 TOPOLOGICAL ENTROPY 25 2.6 DENSENESS OF ORBITS * 33 2.7 INVARIANT
MEASURE * 38 2.8 LYAPUNOV NUMBER 40 2.9 SUMMARY 41 ROUTES TO CHAOS 42
3.1 PITCHFORK BIFURCATION AND FEIGENBAUM ROUTE 42 3.2 CONDITION FOR
PITCHFORK BIFURCATION 51 3.3 WINDOWS 57 3.4 INTERMITTENT CHAOS 64 CHAOS
IN REALISTIC SYSTEMS 4.1 CONSERVATIVE SYSTEM AND DISSIPATIVE SYSTEM 4.2
ATTRACTOR AND POINCARE SECTION 4.3 LYAPUNOV NUMBERS AND CHANGE OF VOLUME
4.4 CONSTRUCTION OF ATTRACTOR 4.5 HAUSDORFF DIMENSION, GENERALIZED
DIMENSION AND FRACTAL 4.6 EVALUATION OF CORRELATION DIMENSION 4.7
EVALUATION OF LYAPUNOV NUMBER 4.8 GLOBAL SPECTRUM*THE /(A) METHOD VI
CONTENTS APPENDICES 116 1A PERIODIC SOLUTIONS OF THE LOGISTIC MAP 116
,2A MOBIUS FUNCTION AND INVERSION FORMULA 117 2B COUNTABLE SET AND
UNCOUNTABLE SET 118 2C UPPER LIMIT AND LOWER LIMIT 120 2D LEBESGUE
MEASURE 121 2E NORMAL NUMBERS 122 2F PERIODIC ORBITS WITH FINITE
FRACTION INITIAL VALUE 123 2G THE DELTA FUNCTION 126 3A WHERE DOES THE
PERIOD 3 WINDOW BEGIN IN THE LOGISTIC MAP? 127 3B NEWTON METHOD 129 3C
HOW TO EVALUATE TOPOLOGICAL ENTROPY 131 3D EXAMPLES OF INVARIANT MEASURE
133 4A GENERALIZED DIMENSION D Q IS MONOTONICALLY DECREASING IN Q 133 4B
SADDLE POINT METHOD 139 4C CHAOS IN DOUBLE PENDULUM 140 4D SINGULAR
POINTS AND LIMIT CYCLE OF VAN DER POL EQUATION 143 4E SINGULAR POINTS OF
THE ROSSLER MODEL 147 REFERENCES 149 SOLUTIONS 150 INDEX 167
|
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| isbn | 075030507X 0750305088 |
| language | English Japanese |
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| physical | VIII, 168 S. Ill., graph. Darst. |
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| spelling | Nagashima, Hiroyuki Verfasser aut Introduction to chaos physics and mathematics of chaotic phenomena Hiroyuki Nagashima and Yoshikazu Baba Bristol [u.a.] Inst. of Physics Publ. 1999 VIII, 168 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Japan. übers. Chaos (théorie des systèmes) ram Chaos - Mathématiques Mathematik Chaotic behavior in systems Mathematics Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s DE-604 Baba, Yoshikazu Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008623328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nagashima, Hiroyuki Baba, Yoshikazu Introduction to chaos physics and mathematics of chaotic phenomena Chaos (théorie des systèmes) ram Chaos - Mathématiques Mathematik Chaotic behavior in systems Mathematics Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4009754-7 |
| title | Introduction to chaos physics and mathematics of chaotic phenomena |
| title_auth | Introduction to chaos physics and mathematics of chaotic phenomena |
| title_exact_search | Introduction to chaos physics and mathematics of chaotic phenomena |
| title_full | Introduction to chaos physics and mathematics of chaotic phenomena Hiroyuki Nagashima and Yoshikazu Baba |
| title_fullStr | Introduction to chaos physics and mathematics of chaotic phenomena Hiroyuki Nagashima and Yoshikazu Baba |
| title_full_unstemmed | Introduction to chaos physics and mathematics of chaotic phenomena Hiroyuki Nagashima and Yoshikazu Baba |
| title_short | Introduction to chaos |
| title_sort | introduction to chaos physics and mathematics of chaotic phenomena |
| title_sub | physics and mathematics of chaotic phenomena |
| topic | Chaos (théorie des systèmes) ram Chaos - Mathématiques Mathematik Chaotic behavior in systems Mathematics Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaos (théorie des systèmes) Chaos - Mathématiques Mathematik Chaotic behavior in systems Mathematics Chaostheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008623328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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