Verfügbarkeit: Dynamical systems | Technische Universität München

Dynamical systems: stability, controllability and chaotic behavior

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Bibliographische Detailangaben
Beteiligte Personen:	Krabs, Werner 1934-2017 (VerfasserIn), Pickl, Stefan 1967- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin ; Heidelberg Springer 2010
Schlagwörter:	Dynamisches System Stabilität Chaotisches System Steuerbarkeit
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=3476856&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024154058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturangaben
Umfang:	X, 238 S. Ill., graph. Darst. 24 cm
ISBN:	9783642137211

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS 1 UNCONTROLLED SYSTEMS 1 1.1 ABSTRACT DEFINITION OF DYNAMICAL SYSTEMS 1 1.2 TIME-CONTINUOUS DYNAMICAL SYSTEMS 4 1.2.1 ELEMENTARY PROPERTIES 4 1.2.2 SYSTEMS IN THE PLANE 8 1.2.3 STABILITY: THE DIRECT METHOD OF LYAPUNOV 14 1.2.4 APPLICATION TO A GENERAL PREDATOR-PREY MODEL 21 1.2.5 APPLICATION TO EVOLUTION MATRIX GAMES 32 1.3 TIME-DISCRETE DYNAMICAL SYSTEMS 36 1.3.1 THE AUTONOMOUS CASE: DEFINITIONS AND ELEMENTARY PROPERTIES 36 1.3.2 LOCALIZATION OF LIMIT SETS WITH THE AID OF LYAPUNOV FUNCTIONS 40 1.3.3 STABILITY BASED ON LYAPUNOV S METHOD 42 1.3.4 STABILITY OF FIXED POINTS VIA LINEARISATION 47 1.3.5 LINEAR SYSTEMS 50 1.3.6 DISCRETIZATION OF TIME-CONTINUOUS DYNAMICAL SYSTEMS . 55 1.3.7 APPLICATIONS 57 1.3.8 THE NON-AUTONOMOUS CASE: DEFINITIONS AND ELEMENTARY PROPERTIES 62 1.3.9 STABILITY BASED ON LYAPUNOV S METHOD 64 1.3.10 LINEAR SYSTEMS 67 1.3.11 APPLICATION TO A MODEL FOR THE PROCESS OF HEMO-DIALYSIS 73 2 CONTROLLED SYSTEMS 77 2.1 THE TIME-CONTINUOUS CASE 77 2.1.1 THE PROBLEM OF CONTROLLABILITY 77 2.1.2 CONTROLLABILITY OF LINEAR SYSTEMS 78 2.1.3 RESTRICTED NULL-CONTROLLABILITY OF LINEAR SYSTEMS 82 2.1.4 CONTROLLABILITY OF NONLINEAR SYSTEMS INTO REST POINTS .. 85 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002540968 DIGITALISIERT DURCH X CONTENTS 2.1.5 APPROXIMATE SOLUTION OF THE PROBLEM OF RESTRICTED NULL-CONTROLLABILITY 89 2.1.6 TIME-MINIMAL RESTRICTED NULL-CONTROLLABILITY OF LINEAR SYSTEMS 91 2.2 THE TIME-DISCRETE AUTONOMOUS CASE 101 2.2.1 THE PROBLEM OF FIXED POINT CONTROLLABILITY 101 2.2.2 NULL-CONTROLLABILITY OF LINEAR SYSTEMS ILL 2.2.3 A METHOD FOR SOLVING THE PROBLEM OF NULL-CONTROLLABILITYLL8 2.2.4 STABILIZATION OF CONTROLLED SYSTEMS 124 2.2.5 APPLICATIONS 126 2.3 THE TIME-DISCRETE NON-AUTONOMOUS CASE 134 2.3.1 THE PROBLEM OF FIXED POINT CONTROLLABILITY 134 2.3.2 THE GENERAL PROBLEM OF CONTROLLABILITY 138 2.3.3 STABILIZATION OF CONTROLLED SYSTEMS 141 2.3.4 THE PROBLEM OF REACHABILITY 143 3 CHAOTIC BEHAVIOR OF AUTONOMOUS TIME-DISCRETE SYSTEMS .. 149 3.1 CHAOS IN THE SENSE OF DEVANEY 149 3.2 TOPOLOGICAL CONJUGACY 154 3.3 THE TOPOLOGICAL ENTROPY AS A MEASURE FOR CHAOS 163 3.3.1 DEFINITION AND INVARIANCE 163 3.3.2 THE TOPOLOGICAL ENTROPY OF THE SHIFT-MAPPING 165 3.3.3 DISORDER-CHAOS FOR ONE-DIMENSIONAL MAPPINGS 167 3.4 CHAOS IN THE SENSE OF LI AND YORKE 172 3.5 STRANGE (OR CHAOTIC) ATTRACTORS 180 3.6 BIBLIOGRAPHICAL REMARKS 190 A A DYNAMICAL METHOD FOR THE CALCULATION OF NASH- EQUILIBRIA IN N*PERSON GAMES 195 A.I THE FIXED POINT THEOREMS OF BROUWER AND KAKUTANI 195 A.2 NASH EQUILIBRIA AS FIXED POINTS OF MAPPINGS 197 A.
any_adam_object	1
author	Krabs, Werner 1934-2017 Pickl, Stefan 1967-
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dewey-full	515.39
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.39
dewey-search	515.39
dewey-sort	3515.39
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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indexdate	2024-12-20T15:50:52Z
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isbn	9783642137211
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-024154058
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owner	DE-188 DE-703
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physical	X, 238 S. Ill., graph. Darst. 24 cm
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	Springer
record_format	marc
spellingShingle	Krabs, Werner 1934-2017 Pickl, Stefan 1967- Dynamical systems stability, controllability and chaotic behavior Dynamisches System (DE-588)4013396-5 gnd Stabilität (DE-588)4056693-6 gnd Chaotisches System (DE-588)4316104-2 gnd Steuerbarkeit (DE-588)4134713-4 gnd
subject_GND	(DE-588)4013396-5 (DE-588)4056693-6 (DE-588)4316104-2 (DE-588)4134713-4
title	Dynamical systems stability, controllability and chaotic behavior
title_auth	Dynamical systems stability, controllability and chaotic behavior
title_exact_search	Dynamical systems stability, controllability and chaotic behavior
title_full	Dynamical systems stability, controllability and chaotic behavior Werner Krabs ; Stefan Pickl
title_fullStr	Dynamical systems stability, controllability and chaotic behavior Werner Krabs ; Stefan Pickl
title_full_unstemmed	Dynamical systems stability, controllability and chaotic behavior Werner Krabs ; Stefan Pickl
title_short	Dynamical systems
title_sort	dynamical systems stability controllability and chaotic behavior
title_sub	stability, controllability and chaotic behavior
topic	Dynamisches System (DE-588)4013396-5 gnd Stabilität (DE-588)4056693-6 gnd Chaotisches System (DE-588)4316104-2 gnd Steuerbarkeit (DE-588)4134713-4 gnd
topic_facet	Dynamisches System Stabilität Chaotisches System Steuerbarkeit
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3476856&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024154058&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT krabswerner dynamicalsystemsstabilitycontrollabilityandchaoticbehavior AT picklstefan dynamicalsystemsstabilitycontrollabilityandchaoticbehavior

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