Verfügbarkeit: Lectures in synergetics

Lectures in synergetics:

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1. Verfasser:	Sugakov, Vladimir I. (VerfasserIn)
Format:	Buch
Sprache:	English Russian
Veröffentlicht:	Singapore [u.a.] World Scientific 1998
Schriftenreihe:	[World scientific series on nonlinear science / A] 33
Schlagworte:	Nonlinear theories Self-organizing systems System theory Theorie Synergetik Selbstorganisation Systemtheorie Nichtgleichgewicht
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	IX, 207 S. graph. Darst.
ISBN:	9810234953

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MARC


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Datensatz im Suchindex

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adam_text	IMAGE 1 &\| WC--D SC.: R;R I - SF LJ .* IF---.. , , S. ; NONLINEAR S C O RE ^ *-- - VO SERIES EDITOR: LEON 0. CHUA LECTURES IN SYNERGETICS VOLODYMYR L. SUGAKOV INSTITUTE FOR NUCLEAR RESEARCH, NATIONAL ACADEMY OF SCIENCES OF UKRAINE TRANSLATED BY IGOR COLINEY FROM THE RUSSIAN LECTURES Y FE WORLD SCIENTIFIC WB SINGAPORE NEW JERSEY L SINGAPORE * NEW JERSEY LONDON * HONG KONG IMAGE 2 CONTENTS 1 INTRODUCTION 1 2 MATHEMATICAL FUNDAMENTALS OF THE SELF-ORGANIZATION 7 2.1 BASIC EQUATIONS. PHASE TRAJECTORIES 7 2.2 STABILITY 10 2.3 NORMAL FORM OF EQUATIONS 12 2.4 SYSTEMS WITH ONE DEGREE OF FREEDOM 14 2.5 SYSTEMS WITH TWO DEGREES OF FREEDOM 16 2.6 SELF-OSCILLATIONS 20 2.7 STRUCTURAL STABILITY. BIFURCATIONS 26 2.8 ANALYTIC SOLUTION IN THE VICINITY TO THE BIFURCATION POINT . . .. 28 2.9 FAST AND SLOW MOTION. ADIABATIC APPROXIMATION 30 2.10 NON-UNIFORM SYSTEMS 34 3 STATIC INSTABILITIES 39 3.1 CHANGE OF THE STABLE STATIONARY POINTS 39 3.1.1 LOSS OF STABILITY OF THE LOADED ROD 40 3.1.2 LASER GENERATION 43 3.2 BISTABILITY 47 3.2.1 BISTABILITY IN CHEMICAL REACTIONS 48 3.2.2 TRIGGER 49 3.2.3 OPTICAL BISTABILITY 53 3.3 THE NOTION OF THE CATASTROPHE THEORY 55 3.4 SIMILARITY BETWEEN EQUILIBRIUM AND NON-EQUILIBRIUM PHASE TRAN SITIONS 60 4 PROCESSES OF SELF-OSCILLATIONS 65 4.1 SELF-OSCILLATIONS IN AN ELECTRIC CIRCUIT 65 4.2 EVOLUTION OF THE ECOLOGY OF THE PREDATOR-PREY TYPE 69 4.3 CHEMICAL OSCILLATIONS. BELOUSOV-ZHABOTINSKII REACTION 72 VN IMAGE 3 VM CONTENTS 4.4 SYNCHRONIZATION OF SELF-OSCILLATIONS 73 4.4.1 SELF-OSCILLATING SYSTEM WITH APPLIED PERIODIC FORCE . .. 74 4.4.2 SYNCHRONIZATION OF THE COUPLED GENERATORS 76 5 THERMOCONCENTRATIONAL INSTABILITIES 81 5.1 SELF-OSCILLATIONS AND BISTABILITY IN A SYSTEM OF EXCITONS WITH AC TIVATION EXCITON DIFFUSION MECHANISM 81 5.2 SELF-OSCILLATIONS AND BISTABILITY IN THE CRYSTALS WITH EXCITON TRAPS 86 5.3 EXPERIMENTAL OBSERVATION OF THE SELF-OSCILLATIONS AND BISTABILITY IN THE EXCITON SYSTEM IN THE IMPURE ORGANIC CRYSTALS 89 5.4 ENHANCEMENT OF OD MR EFFECT IN A SYSTEM OF TRIPLET EXCITONS . . 91 5.5 MULTISTABILITY IN CRYSTALS CONTAINING EXCITON TRAPS WITH DIFFERENT DEPTH 94 5.6 SELF-OSCILLATIONS OF THE ELECTRON-HOLE DENSITY AND TEMPERATURE IN THE IMPURE ORGANIC CRYSTALS AT CONSTANT OPTICAL PUMPING . . .. 95 5.7 INSTABILITIES IN THE CRYSTALS UNDER NUCLEAR IRRADIATION 98 6 SPATIAL STRUCTURES 103 6.1 IMPOSSIBILITY OF DISSIPATIVE STRUCTURES IN ONE VARIABLE SYSTEMS DESCRIBED BY THE SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS . . . 103 6.2 BRUSSELLATOR MODEL OF THE CHEMICAL REACTION 106 6.3 BENARD EFFECT 114 6.3.1 DETERMINATION OF THE THRESHOLD OF BENARD EFFECT 117 6.3.2 REGIME BEYOND THRESHOLD 120 6.4 SUPERLATTICES IN THE SYSTEM OF THE CONTINUOUSLY GENERATED INTER ACTING PARTICLES WITH FINITE LIFETIME 122 6.4.1 INSTABILITY OF THE UNIFORM PARTICLE DISTRIBUTION 125 6.4.2 SOLUTION BEYOND THE THRESHOLD 129 6.4.3 STABILITY OF THE SUPERLATTICE 130 7 AUTO-WAVES 133 7.1 RUNNING FRONTS 134 7.2 AUTO-WAVES OF THE PHASE TRANSITION 138 7.2.1 ASYMMETRICAL CASE 140 7.2.2 SYMMETRIC CASE 141 7.3 TRAVELLING PULSES 143 7.4 MOTION OF DOMAINS IN SEMICONDUCTORS 145 7.4.1 INSTABILITIES IN SEMICONDUCTORS 145 7.4.2 GUNN EFFECT 149 7.5 PROPAGATION OF THE NERVE PULSES 154 7.6 AUTO-WAVES IN THE MULTI-DIMENSIONAL MEDIA 159 IMAGE 4 CONTENTS 7.7 GENERAL THEORY OF DISSIPATIVE STRUCTURES IN TWO-DIMENSIONAL SYS TEMS 159 8 S T O C H A S T IC PROCESSES 161 8.1 ELEMENTS OF THE THEORY OF PROBABILITY 161 8.2 MARKOV PROCESSES. CHAPMAN-KOLMOGOROV EQUATION 165 8.3 KINETIC EQUATION 166 8.4 STATIONARY SOLUTION OF THE KINETIC EQUATION FOR THE PROCESSES WHERE THE NUMBER OF PARTICLES CHANGES BY A UNITY 167 8.5 PREDATOR-PREY MODEL. ACCOUNT FOR STOCHASTICITY 169 8.6 BISTABILITY IN THE CHEMICAL REACTIONS. STOCHASTIC ANALYSIS . . .. 170 8.7 FOKKER-PLANCK EQUATION 173 8.8 LANGEVIN EQUATION. STOCHASTIC DIFFERENTIAL EQUATIONS 174 8.9 STATIONARY SOLUTIONS OF FOKKER-PLANCK EQUATION 178 8.10 PROBABILITY OF TRANSITION BETWEEN STABLE STATES 182 8.11 NOISE INDUCED PHASE TRANSITIONS 186 8.12 FOKKER-PLANCK EQUATION IN THE SPATIALLY NON-UNIFORM SYSTEMS . 188 8.13 DETERMINISTIC CHAOS 190 8.13.1 STRANGE ATTRACTORS 191 8.13.2 RECOGNITION OF CHAOS 192 8.14 CHAOS IN SYSTEMS WITH DISCRETE VALUES OF THE DYNAMIC VARIABLES 194 8.14.1 POINT MAPPINGS 194 8.14.2 LOGISTIC MAPPING 195 8.14.3 FRACTAL STRUCTURES AND DIMENSION OF STRANGE ATTRACTORS . 198 BIBLIOGRAPHY 201 SUBJECT INDEX 205
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spelling	Sugakov, Vladimir I. Verfasser aut Lectures in synergetics Volodymyr I. Sugakov Singapore [u.a.] World Scientific 1998 IX, 207 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [World scientific series on nonlinear science / A] 33 Nonlinear theories Self-organizing systems System theory Theorie (DE-588)4059787-8 gnd rswk-swf Synergetik (DE-588)4058755-1 gnd rswk-swf Selbstorganisation (DE-588)4126830-1 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Nichtgleichgewicht (DE-588)4171730-2 gnd rswk-swf Synergetik (DE-588)4058755-1 s Theorie (DE-588)4059787-8 s DE-604 Selbstorganisation (DE-588)4126830-1 s Systemtheorie (DE-588)4058812-9 s Nichtgleichgewicht (DE-588)4171730-2 s A] [World scientific series on nonlinear science 33 (DE-604)BV009051753 33 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Sugakov, Vladimir I. Lectures in synergetics Nonlinear theories Self-organizing systems System theory Theorie (DE-588)4059787-8 gnd Synergetik (DE-588)4058755-1 gnd Selbstorganisation (DE-588)4126830-1 gnd Systemtheorie (DE-588)4058812-9 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd
subject_GND	(DE-588)4059787-8 (DE-588)4058755-1 (DE-588)4126830-1 (DE-588)4058812-9 (DE-588)4171730-2
title	Lectures in synergetics
title_auth	Lectures in synergetics
title_exact_search	Lectures in synergetics
title_full	Lectures in synergetics Volodymyr I. Sugakov
title_fullStr	Lectures in synergetics Volodymyr I. Sugakov
title_full_unstemmed	Lectures in synergetics Volodymyr I. Sugakov
title_short	Lectures in synergetics
title_sort	lectures in synergetics
topic	Nonlinear theories Self-organizing systems System theory Theorie (DE-588)4059787-8 gnd Synergetik (DE-588)4058755-1 gnd Selbstorganisation (DE-588)4126830-1 gnd Systemtheorie (DE-588)4058812-9 gnd Nichtgleichgewicht (DE-588)4171730-2 gnd
topic_facet	Nonlinear theories Self-organizing systems System theory Theorie Synergetik Selbstorganisation Systemtheorie Nichtgleichgewicht
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008664377&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV009051753
work_keys_str_mv	AT sugakovvladimiri lecturesinsynergetics

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