Complex time delay systems: theory and applications
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2010
|
| Series: | Understanding complex systems
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 325 S. Ill., graph. Darst. |
| ISBN: | 9783642023286 9783642023293 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS 1 AMPLITUDE DEATH, SYNCHRONY, AND CHIMERA STATES IN DELAY
COUPLED LIMIT CYCLE OSCILLATORS 1 ABHIJIT SEN, RAMANA DODLA, GEORGE L.
JOHNSTON, AND GAUTAM C. SETHIA 1.1 INTRODUCTION 1 1.2 A MINIMAL
COLLECTIVE MODEL 3 1.2.1 TIME DELAY EFFECTS 6 1.3 IV-OSCILLATOR MODELS
15 1.3.1 GLOBAL COUPLING 16 1.3.2 NEAREST NEIGHBOR COUPLING 18 1.3.3
NON-LOCAL COUPLING 26 1.4 SUMMARY AND PERSPECTIVES 40 REFERENCES 41 2
DELAY-INDUCED STABILITY: FROM OSCILLATORS TO NETWORKS 45 FATIHCAN M.
ATAY 2.1 INTRODUCTION 45 2.2 A BRIEF SYNOPSIS OF AVERAGING THEORY 46 2.3
STABILITY BY DELAYED FEEDBACK 48 2.4 AMPLITUDE DEATH IN NETWORKS OF
OSCILLATORS 52 2.5 DIFFUSIVELY COUPLED NETWORKS 55 2.6 DISCRETE-TIME
SYSTEMS 58 2.7 CONCLUDING REMARKS 60 REFERENCES 61 3 DELAY EFFECTS ON
OUTPUT FEEDBACK CONTROL OF DYNAMICAL SYSTEMS 63 SILVIU-IULIAN NICULESCU,
WIM MICHIELS, KEQIN GU, AND CHAOUKI T. ABDALLAH 3.1 INTRODUCTION 63
3.1.1 EXISTING METHODOLOGIES 64 3.1.2 PROBLEM FORMULATION AND RELATED
REMARKS 66 3.1.3 METHODOLOGY AND APPROACH 67 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/997432314 DIGITALISIERT DURCH VIII
CONTENTS 3.2 MAIN RESULTS 67 3.2.1 NOTATION 67 3.2.2 STABILIZABILITY IN
THE DELAY PARAMETER 70 3.2.3 CONTROLLER DESIGN 75 3.3 ILLUSTRATIVE
EXAMPLES 76 3.3.1 SECOND-ORDER SYSTEM 77 3.3.2 STABILIZING A CHAIN OF
OSCILLATORS 78 3.3.3 MULTIPLE CROSSING FREQUENCIES TOWARD (IN)STABILITY
80 3.4 CONCLUDING REMARKS 82 REFERENCES 83 4 TIME-DELAYED FEEDBACK
CONTROL: FROM SIMPLE MODELS TO LASERS AND NEURAL SYSTEMS 85 ECKEHARD
SCHOLL, PHILIPP HOEVEL, VALENTIN FLUNKERT, AND MARKUS A. DAHLEM 4.1
INTRODUCTION 85 4.2 TIME-DELAYED FEEDBACK CONTROL OF GENERIC SYSTEMS 87
4.2.1 STABILIZATION OF UNSTABLE STEADY STATES 87 4.2.2 ASYMPTOTIC
PROPERTIES 100 4.2.3 BEYOND THE ODD NUMBER LIMITATION OF UNSTABLE
PERIODIC ORBITS 107 4.2.4 STABILIZING PERIODIC ORBITS NEAR A FOLD
BIFURCATION 116 4.3 TIME-DELAYED CONTROL OF OPTICAL SYSTEMS 122 4.3.1
STABILIZING CONTINUOUS-WAVE LASER EMISSION BY PHASE-DEPENDENT COUPLING
123 4.3.2 NOISE SUPPRESSION BY TIME-DELAYED FEEDBACK 125 4.4
TIME-DELAYED CONTROL OF NEURONAL DYNAMICS 130 4.4.1 MODEL OF TWO COUPLED
NEURONS 131 4.4.2 CONTROL OF STOCHASTIC SYNCHRONIZATION 133 4.4.3
DYNAMICS OF DELAY-COUPLED NEURONS 136 4.4.4 DELAYED SELF-FEEDBACK AND
DELAYED COUPLING 140 REFERENCES 144 5 FINITE PROPAGATION SPEEDS IN
SPATIALLY EXTENDED SYSTEMS 151 AXEL HUTT 5. CONTENTS IX 6 STOCHASTIC
DELAY-DIFFERENTIAL EQUATIONS 177 ANDRE LONGTIN 6.1 INTRODUCTION 177 6.2
THE FUNDAMENTAL ISSUE 178 6.3 LINEAR SDDES 180 6.4 SMALL DELAY EXPANSION
181 6.5 REDUCTION TECHNIQUES 184 6.5.1 REDUCING THE DIMENSIONALITY 184
6.5.2 CROSSING TIME PROBLEMS 187 6.6 STOCHASTIC DELAYED NEURODYNAMICS
188 6.6.1 NEURAL NOISE AND DELAYS 188 6.6.2 NEURAL CONTROL 189 6.6.3
NEURAL POPULATION DYNAMICS 189 6.6.4 SIMPLIFIED STOCHASTIC SPIKING MODEL
WITH DELAY 191 6.7 CONCLUSION 192 REFERENCES 193 7 GLOBAL CONVERGENT
DYNAMICS OF DELAYED NEURAL NETWORKS 197 WENLIAN LU AND TIANPING CHEN 7.1
INTRODUCTION 197 7.2 STABILITY OF DELAYED NEURAL NETWORKS 201 7.2.1
PRELIMINARIES 201 7.2.2 DELAYED HOPFIELD NEURAL NETWORKS 204 7.2.3
DELAYED COHEN-GROSSBERG COMPETITIVE AND COOPERATIVE NETWORKS 209 7.3
PERIODICITY AND ALMOST PERIODICITY OF DELAYED NEURAL NETWORKS 217 7.3.1
DELAYED PERIODIC HOPFIELD NEURAL NETWORKS 218 7.3.2 DELAYED PERIODIC
COHEN-GROSSBERG COMPETITIVE AND COOPERATIVE NEURAL NETWORKS 221 7.3.3
DELAYED ALMOST PERIODIC HOPFIELD NEURAL NETWORKS 226 7.4 DELAYED NEURAL
NETWORK WITH DISCONTINUOUS ACTIVATIONS 232 7.4.1 PRELIMINARIES 234 7.4.2
STABILITY OF EQUILIBRIUM 241 7.4.3 CONVERGENCE OF PERIODIC AND ALMOST
PERIODIC ORBITS 245 7.5 REVIEW AND COMPARISON OF LITERATURE 252
REFERENCE X CONTENTS 8.3.2 KNOWN RESULTS ABOUT STABILITY OF DISTRIBUTED
DELAY DIFFERENTIAL EQUATIONS 273 8.4 STABILITY ANALYSIS AND HOPF
BIFURCATION FOR A DELAY DIFFERENTIAL EQUATION WITH DISTRIBUTED DELAY 276
8.5 APPLICATION: PERIODIC OSCILLATIONS IN A STEM CELL POPULATION 288
REFERENCES 295 9 DETERMINISTIC TIME-DELAYED TRAFFIC FLOW MODELS: A
SURVEY 297 RIFAT SIPAHI AND SILVIU-IULIAN NICULESCU 9.1 INTRODUCTION TO
TRAFFIC FLOW PROBLEM 298 9.2 CLASSIFICATION OF TRAFFIC MODELS 299 9.2.1
MACROSCOPIC MODELS 300 9.2.2 MICROSCOPIC MODELS 300 9.2.3 MESOSCOPIC
MODELS 301 9.3 EMPIRICAL AND SIMULATION STUDIES 301 9.3.1 EXPERIMENTAL
STUDIES 301 9.3.2 SOFTWARE DEVELOPMENT 303 9.4 TIME-DELAY EFFECTS IN
TRAFFIC FLOW MODELS 304 9.4.1 WHAT IS THE ORIGIN OF TIME DELAY? 304
9.4.2 WHAT IS THE MEASURE OF TIME DELAY? 306 9.4.3 DEVELOPMENT OF
TIME-DELAYED TRAFFIC MODELS 308 9.5 ASSUMPTIONS AND ANALYSIS ON
MATHEMATICAL MODELS 312 9.6 INTERESTING RESEARCH TOPICS 312 9.6.1 LINEAR
ANALYSIS WITH A SINGLE DELAY 313 9.6.2 MULTIPLE DELAYS 314 9.6.3
TIME-VARYING DELAYS 316 9.6.4 IMPROVED TRAFFIC STABILITY WITH MULTIPLE
VEHICLE FOLLOWING .. 316 9.6.5 MULTIPLE VEHICLE FOLLOWING UNDER MULTIPLE
DELAYS 316 9.6.6 NONLINEAR TIME-DELAYED TRAFFIC DYNAMICS 317 9.6.7
OPTIMAL VELOCITY MODEL WITH TIME DELAY AND STOCHASTIC PROCESS 317 9.6.8
EFFECTS OF DRIVERS MEMORY 317 9.
|
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
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| spelling | Complex time delay systems theory and applications ed. by Fatihcan M. Atay Complex time-delay systems Heidelberg [u.a.] Springer 2010 XII, 325 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Understanding complex systems Zeitverzögertes System (DE-588)4780926-7 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Komplexes System (DE-588)4114261-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Komplexes System (DE-588)4114261-5 s Zeitverzögertes System (DE-588)4780926-7 s Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s DE-604 Atay, Fatihcan M. (DE-588)124297471 edt DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018934017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Complex time delay systems theory and applications Zeitverzögertes System (DE-588)4780926-7 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Komplexes System (DE-588)4114261-5 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4780926-7 (DE-588)4199298-2 (DE-588)4114261-5 (DE-588)4013396-5 |
| title | Complex time delay systems theory and applications |
| title_alt | Complex time-delay systems |
| title_auth | Complex time delay systems theory and applications |
| title_exact_search | Complex time delay systems theory and applications |
| title_full | Complex time delay systems theory and applications ed. by Fatihcan M. Atay |
| title_fullStr | Complex time delay systems theory and applications ed. by Fatihcan M. Atay |
| title_full_unstemmed | Complex time delay systems theory and applications ed. by Fatihcan M. Atay |
| title_short | Complex time delay systems |
| title_sort | complex time delay systems theory and applications |
| title_sub | theory and applications |
| topic | Zeitverzögertes System (DE-588)4780926-7 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd Komplexes System (DE-588)4114261-5 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Zeitverzögertes System Differentialgleichung mit nacheilendem Argument Komplexes System Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018934017&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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