Nonlinear science: the challenge of complex systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Complexity
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Jap. übers. - Literaturangaben |
| Beschreibung: | XI, 211 S. Ill., graph. Darst. |
| ISBN: | 9783642034053 9783642034060 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS 1 WHAT IS NONLINEAR? .... 1 1.1 NATURE AND SCIENCE 1 1.1.1
NATURA VEXATA 1 1.1.2 SYNDROME 4 1.1.3 DECONSTRUCTION OF LINEAR THEORY 5
1.2 THE SCALE OF PHENOMENON / THEORY WITH SCALE 6 1.2.1 THE ROLE OF
SCALE IN SCIENTIFIC REVOLUTIONS 6 1.2.2 THE MATHEMATICAL RECOGNITION OF
SCALE 8 1.3 THE TERRITORY OF LINEAR THEORY 10 1.3.1 LINEAR SPACE*THE
HORIZON OF MATHEMATICAL SCIENCE 10 1.3.2 THE MATHEMATICAL DEFINITION OF
VECTORS 12 1.3.3 GRAPHS*GEOMETRIC REPRESENTATION OF LAWS 15 1.3.4
EXPONENTIAL LAW 20 1.4 NONLINEARITY*PHENOMENOLOGY AND STRUCTURES 24
1.4.1 NONLINEAR PHENOMENA 24 1.4.2 THE TYPOLOGY OF DISTORTION 25 1.4.3
NONLINEARITY EMERGING IN SMALL SCALE* SINGULARITY 27 1.4.4 NONLINEARITY
ESCAPING FROM LINEARITY* CRITICALITY 29 1.4.5 BIFURCATION (POLYVALENCY)
AND DISCONTINUITY 31 NOTES 33 PROBLEMS 41 SOLUTIONS 41 REFERENCES 43 2
FROM COSMOS TO CHAOS 45 2.1 THE ORDER OF NATURE*A GEOMETRIC VIEW 45
2.1.1 GALILEO S NATURAL PHILOSOPHY 45 2.1.2 GEOMETRIC DESCRIPTION OF
EVENTS 46 2.1.3 UNIVERSALITY DISCOVERED BY NEWTON 48 2. BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/995338310 DIGITALISIERT DURCH CONTENTS
2.2.3 BEYOND THE FUNCTIONAL REPRESENTATION OF MOTION 56 2.3
DECOMPOSITION*ELUCIDATION OF ORDER 58 2.3.1 THE MATHEMATICAL
REPRESENTATION OF CAUSALITY 58 2.3.2 EXPONENTIAL LAW*A BASIC FORM OF
GROUP 60 2.3.3 RESONANCE *UNDECOMPOSABLE MOTION 62 2.3.4 NONLINEAR
DYNAMICS*AN INFINITE CHAIN OF INTERACTING MODES 65 2.3.5 CHAOS*MOTION IN
THE INFINITE PERIOD 67 2.3.6 SEPARABILITY/INSEPARABILITY 69 2.4
INVARIANCE IN DYNAMICS 74 2.4.1 CONSTANTS OF MOTION 74 2.4.2 CHAOS *TRUE
EVOLUTION 80 2.4.3 COLLECTIVE ORDER 81 2.4.4 COMPLETE SOLUTION*THE FRAME
OF SPACE EMBODYING ORDER 83 2.4.5 THE DIFFICULTY OF INFINITY 85 2.5
SYMMETRY AND CONSERVATION LAW 86 2.5.1 SYMMETRY IN DYNAMICAL SYSTEM 86
2.5.2 THE DEEP STRUCTURE OF DYNAMICAL SYSTEM 87 2.5.3 THE TRANSLATION OF
MOTION AND NON-MOTION 91 2.5.4 CHAOS*THE IMPOSSIBILITY OF DECOMPOSITION
94 NOTES 97 PROBLEMS 105 SOLUTIONS 106 REFERENCES 109 3 THE CHALLENGE OF
MACRO-SYSTEMS ILL 3.1 THE DIFFICULTY OF PREDICTION ILL 3.1.1 CHAOS IN
PHENOMENOLOGICAL RECOGNITION ILL 3.1.2 STABILITY 112 3.1.3 ATTRACTORS
116 3.1.4 STABILITY AND INTEGRABILITY 119 3.2 RANDOMNESS AS HYPOTHETICAL
SIMPLICITY 121 3.2. CONTENTS XI SOLUTIONS 148 REFERENCES 150 4
INTERACTIONS OF MICRO AND MACRO HIERARCHIES 153 4.1 STRUCTURE AND SCALE
HIERARCHY 153 4.1.1 CROSSING-OVER HIERARCHIES 153 4.1.2 CONNECTION OF
SCALE HIERARCHIES*STRUCTURE 154 4.2 TOPOLOGY*A SYSTEM OF DIFFERENCES 157
4.2.1 THE TOPOLOGY OF GEOMETRY 157 4.2.2 SCALE HIERARCHY AND TOPOLOGY
158 4.2.3 FRACTALS*AGGREGATES OF SCALES 159 4.3 THE SCALE OF EVENT/THE
SCALE OF LAW 161 4.3.1 SCALING AND REPRESENTATION 161 4.3.2 SCALE
SEPARATION 164 4.3.3 SPONTANEOUS SELECTION OF SCALE BY NONLINEARITY 167
4.3.4 SINGULARITY*IDEAL LIMIT OF SCALE-INVARIANT STRUCTURE 168 4.4
CONNECTIONS OF SCALE HIERARCHIES 170 4.4.1 COMPLEXITY*STRUCTURES WITH
MULTIPLE ASPECTS 170 4.4.2 SINGULAR PERTURBATION 171 4.4.3
COLLABORATIONS OF NONLINEARITY AND SINGULAR PERTURBATION .. 174 4.4.4
LOCALIZED STRUCTURES IN SPACE-TIME 178 4.4.5 IRREDUCIBLE COUPLINGS OF
MULTI-SCALES 183 NOTES 187 PROBLEMS 201 SOLUTIONS 202 REFERENCES 206
INDEX 209
|
| any_adam_object | 1 |
| author | Yoshida, Zensho |
| author_GND | (DE-588)140870393 |
| author_facet | Yoshida, Zensho |
| author_role | aut |
| author_sort | Yoshida, Zensho |
| author_variant | z y zy |
| building | Verbundindex |
| bvnumber | BV036112675 |
| classification_rvk | SK 960 UG 3900 |
| ctrlnum | (OCoLC)607560704 (DE-599)DNB995338310 |
| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV036112675 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:12:20Z |
| institution | BVB |
| isbn | 9783642034053 9783642034060 |
| language | English Japanese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019002830 |
| oclc_num | 607560704 |
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| owner | DE-703 DE-11 DE-473 DE-BY-UBG |
| owner_facet | DE-703 DE-11 DE-473 DE-BY-UBG |
| physical | XI, 211 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series2 | Complexity |
| spelling | Yoshida, Zensho Verfasser (DE-588)140870393 aut Nonlinear science the challenge of complex systems Zensho Yoshida Berlin [u.a.] Springer 2010 XI, 211 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Complexity Aus dem Jap. übers. - Literaturangaben Komplexes System (DE-588)4114261-5 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Komplexes System (DE-588)4114261-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019002830&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yoshida, Zensho Nonlinear science the challenge of complex systems Komplexes System (DE-588)4114261-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4042110-7 |
| title | Nonlinear science the challenge of complex systems |
| title_auth | Nonlinear science the challenge of complex systems |
| title_exact_search | Nonlinear science the challenge of complex systems |
| title_full | Nonlinear science the challenge of complex systems Zensho Yoshida |
| title_fullStr | Nonlinear science the challenge of complex systems Zensho Yoshida |
| title_full_unstemmed | Nonlinear science the challenge of complex systems Zensho Yoshida |
| title_short | Nonlinear science |
| title_sort | nonlinear science the challenge of complex systems |
| title_sub | the challenge of complex systems |
| topic | Komplexes System (DE-588)4114261-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Komplexes System Nichtlineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019002830&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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