Stability, structures and chaos in nonlinear synchronization networks:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English Russian |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1994
|
| Schriftenreihe: | [World Scientific series on nonlinear science / A]
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 246 S. graph. Darst. |
| ISBN: | 9810218222 |
Internformat
MARC
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| 245 | 1 | 0 | |a Stability, structures and chaos in nonlinear synchronization networks |c V. S. Afraimovich ... Ed. by A. V. Gaponov-Grekhov ... |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1994 | |
| 300 | |a XII, 246 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a [World Scientific series on nonlinear science / A] |v 6 | |
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| 650 | 7 | |a Stabilité |2 ram | |
| 650 | 7 | |a Synchronisation |2 ram | |
| 650 | 7 | |a Théories non-linéaires |2 ram | |
| 650 | 7 | |a chaos |2 inriac | |
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| 650 | 4 | |a Stability | |
| 650 | 4 | |a Synchronization | |
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| 700 | 1 | |a Gaponov-Grechov, Andrej V. |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804124799897698304 |
|---|---|
| adam_text | Contents
Foreword ix
Preface xi
1 Basic Models 1
1.1 Synchronization in nature and technology 1
1.2 Automatic synchronization systems 2
1.3 Collective systems 5
1.4 Lattice models 7
2 Dynamics of a Chain of Phase Lock Loop Systems
with Unidirectional Coupling 13
2.1 The equation of a flow chain. Dynamics of a
point element 13
2.2 Synchronization regime 16
2.3 Development of spatial instabilities. Landau
model of developing turbulence 24
2.4 Transition processes 28
3 Effect of Inertia of Elements on the Dynamics
of a Flow Chain 33
3.1 Dynamics of a partial system with a filter 33
3.2 On possible regimes in the chain 36
3.3 Global synchronization 37
3.4 Scenarios for the development of chaos 41
3.5 Characteristics of transition processes 44
3.6 Pattern formation 49
3.7 Chains with more complicated dynamics of
elements 51
4 Chains with Mutual Coupling 63
4.1 Synchronization in isotropic and anisotropic
chains 63
4.2 Stationary structures. Chaos 70
4.3 Transition processes 74
4.4 A chain of coupled inertial systems 80
vi
5 Chains with Coupling Through Phase
Mismatching Signals 85
5.1 Flow chain 85
5.2 Mutual coupling 94
6 Nonlinear Dynamics of Lattices 107
6.1 Synchronization processes in the lattice with
unidirectional coupling 107
6.2 Isotropic lattices 110
6.3 Coherent periodic structures 115
6.4 The influence of the external field on the
lattice dynamics 120
7 Analysis of Stationary Synchronization Regimes 127
7.1 Stationary regimes in the chain 127
7.2 Stationary regimes in the lattice 137
8 Some Remarks on Other Kinds of Chains of
Synchronization Systems 145
8.1 Series chains 145
8.2 Wave properties of the chain of frequency
lock loops 151
9 Stability and Chaos in the Chains of Discrete
Phase Lock Loops 169
9.1 On the dynamics of a partial system 169
9.2 Chaotic and regular chain behavior 171
9.3 Conditions of existence of a stable
stationary regime 175
9.4 Conditions of synchronization 182
10 Dynamics of a Ring Chain of Discrete Systems 187
10.1 Possibility of synchronization 187
10.2 Regular dynamics and chaos in the ring chain 190
10.3 Stationary waves and spatially
homogeneous regimes 193
10.4 Stability of stationary waves 198
10.5 Modulated waves 205
vii
11 Order and Chaos in the Discrete Model of an
Active Medium 211
11.1 Some remarks on the model 212
11.2 Chaotic dynamics of the model 212
11.3 Spatially homogeneous and stationary states 218
11.4 Stationary waves 228
12 Results and Problems 233
|
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| genre_facet | Computerexperiment |
| id | DE-604.BV010375687 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:51:25Z |
| institution | BVB |
| isbn | 9810218222 |
| language | English Russian |
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| physical | XII, 246 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific |
| record_format | marc |
| series2 | [World Scientific series on nonlinear science / A] |
| spelling | Stability, structures and chaos in nonlinear synchronization networks V. S. Afraimovich ... Ed. by A. V. Gaponov-Grekhov ... Singapore u.a. World Scientific 1994 XII, 246 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [World Scientific series on nonlinear science / A] 6 Chaos (théorie des systèmes) ram Stabilité ram Synchronisation ram Théories non-linéaires ram chaos inriac dynamique non linéaire inriac synchronisation système inriac système dynamique inriac treillis inriac Chaotic behavior in systems Stability Synchronization Synchronisierung (DE-588)4130847-5 gnd rswk-swf Parallelverarbeitung (DE-588)4075860-6 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Computerexperiment gnd rswk-swf Physik (DE-588)4045956-1 s Simulation (DE-588)4055072-2 s Parallelverarbeitung (DE-588)4075860-6 s Synchronisierung (DE-588)4130847-5 s DE-604 Computerexperiment f Afraimovich, V. S. Sonstige oth Gaponov-Grechov, Andrej V. Sonstige oth A] [World Scientific series on nonlinear science 6 (DE-604)BV009051753 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006907578&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stability, structures and chaos in nonlinear synchronization networks Chaos (théorie des systèmes) ram Stabilité ram Synchronisation ram Théories non-linéaires ram chaos inriac dynamique non linéaire inriac synchronisation système inriac système dynamique inriac treillis inriac Chaotic behavior in systems Stability Synchronization Synchronisierung (DE-588)4130847-5 gnd Parallelverarbeitung (DE-588)4075860-6 gnd Simulation (DE-588)4055072-2 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4130847-5 (DE-588)4075860-6 (DE-588)4055072-2 (DE-588)4045956-1 |
| title | Stability, structures and chaos in nonlinear synchronization networks |
| title_auth | Stability, structures and chaos in nonlinear synchronization networks |
| title_exact_search | Stability, structures and chaos in nonlinear synchronization networks |
| title_full | Stability, structures and chaos in nonlinear synchronization networks V. S. Afraimovich ... Ed. by A. V. Gaponov-Grekhov ... |
| title_fullStr | Stability, structures and chaos in nonlinear synchronization networks V. S. Afraimovich ... Ed. by A. V. Gaponov-Grekhov ... |
| title_full_unstemmed | Stability, structures and chaos in nonlinear synchronization networks V. S. Afraimovich ... Ed. by A. V. Gaponov-Grekhov ... |
| title_short | Stability, structures and chaos in nonlinear synchronization networks |
| title_sort | stability structures and chaos in nonlinear synchronization networks |
| topic | Chaos (théorie des systèmes) ram Stabilité ram Synchronisation ram Théories non-linéaires ram chaos inriac dynamique non linéaire inriac synchronisation système inriac système dynamique inriac treillis inriac Chaotic behavior in systems Stability Synchronization Synchronisierung (DE-588)4130847-5 gnd Parallelverarbeitung (DE-588)4075860-6 gnd Simulation (DE-588)4055072-2 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Chaos (théorie des systèmes) Stabilité Synchronisation Théories non-linéaires chaos dynamique non linéaire synchronisation système système dynamique treillis Chaotic behavior in systems Stability Synchronization Synchronisierung Parallelverarbeitung Simulation Physik Computerexperiment |
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