Verfügbarkeit: Chaos | Technische Universität München

Chaos: a program collection for the PC

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Bibliographische Detailangaben
Beteiligte Personen:	Korsch, Hans-Jürgen 1944- (VerfasserIn), Jodl, Hans-Jörg (VerfasserIn), Hartmann, Timo 1973- (VerfasserIn)
Format:	Medienkombination Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 2008
Ausgabe:	3., rev. and enl. ed.
Schlagwörter:	Nichtlineares dynamisches System Simulation Chaostheorie Personal Computer Chaotisches System Computersimulation Software CD-ROM
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016170198&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XV, 341 S. Ill., graph. Darst. 1 CD-ROM (12 cm)
ISBN:	9783540748663 3540748660

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Datensatz im Suchindex

_version_	1819367793029545984
adam_text	CONTENTS 1 OVERVIEW AND BASIC CONCEPTS 1 1.1 INTRODUCTION 1 1.2 THE PROGRARAS 5 1.3 LITERATURE ON CHAOTIC DYNAMICS 8 2 NONLINEAR DYNAMICS AND DETERMINISTIC CHAOS 11 2.1 DETERMINISTIC CHAOS 12 2.2 HAMILTONIAN SYSTEMS 13 2.2.1 INTEGRABLE AND ERGODIC SYSTEMS 13 2.2.2 POINCARE SECTIONS 16 2.2.3 THE KAM THEOREM 18 2.2.4 HOMOCLINIC POINTS 20 2.3 DISSIPATIVE DYNAMICAL SYSTEMS 22 2.3.1 ATTRACTORS 24 2.3.2 ROUTES TO CHAOS 26 2.4 SPECIAL TOPICS 27 2.4.1 THE POINCARE-BIRKHOFF THEOREM 28 2.4.2 CONTINUED FRACTIONS 29 2.4.3 THE LYAPUNOV EXPONENT 32 2.4.4 FIXED POINTS OF ONE-DIMENSIONAL MAPS 35 2.4.5 FIXED POINTS OF TWO-DIMENSIONAL MAPS 38 2.4.6 BIFURCATIONS 44 REFERENCES 45 3 BILLIARD SYSTEMS 47 3.1 DEFORMATIONS OF A CIRCLE BILLIARD 50 3.2 NUMERICAL TECHNIQUES 53 3.3 INTERACTING WITH THE PROGRAM 54 3.4 COMPUTER EXPERIMENTS 58 3.4.1 FROM REGULARITY TO CHAOS 58 3.4.2 ZOOMING IN 60 XIT CONTENTS 3.4.3 SENSITIVITY AND DETERMINISM 61 3.4.4 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 63 3.5 SUGGESTIONS FOR FURTHER STUDIES 66 3.6 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 66 REFERENCES 67 4 GRAVITATIONAL BILLIARDS: THE WEDGE 69 4.1 THE POINCARE MAPPING 70 4.2 INTERACTING WITH THE PROGRAM 75 4.3 COMPUTER EXPERIMENT 77 4.3.1 PERIODIC MOTION AND PHASE SPACE ORGANIZATION 77 4.3.2 BIFURCATION PHENOMENA 81 4.3.3 PLANE FILLING WEDGE BILLIARDS 86 4.3.4 SUGGESTIONS FOR ADDITIONAL EXPERIMENT SS 4.4 SUGGESTIONS FOR FURTHER STUDIES 89 4.5 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 90 REFERENCES 90 5 THE DOUBLE PENDULUM 91 5.1 EQUATIONS OF MOTION 91 5.2 NUMERICAL ALGORITHMS 93 5.3 INTERACTING WITH THE PROGRAM 93 5.4 COMPUTER EXPERIMENTS 98 5.4.1 DIFFERENT TYPES OF MOTION 98 5.4.2 DYNAMICS OF THE DOUBLE PENDULUM 102 5.4.3 DESTRUCTION OF INVARIANT CURVES 107 5.4.4 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 110 5.5 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 111 REFERENCES 113 6 CHAOTIC SCATTCRING 115 6.1 SCATTERING OFF THREE DISKS 117 6.2 NUMERICAL TECHNIQUES 121 6.3 INTERACTING WITH THE PROGRAM 121 6.4 COMPUTER EXPERIMENTS [24 6.4.1 SCATTERING FUNCTIONS AND TWO-DISK COLLISIONS 124 6.4.2 TREE ORGANIZATION OF THREE-DISK COLLISIONS 127 6.4.3 UNSTABLE PERIODIC ORBITS 129 6.4.4 FRACTAL SINGULARITY STRUCTURE 131 6.4.5 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 133 6.5 SUGGESTIONS FOR FURTHER STUDIES 135 6.6 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 136 REFERENCES 136 CONTENTS XIII 7 FERMI ACCELERATION 137 7.1 FERMI MAPPING 138 7.2 INTERACTING WITH TLIE PROGRAM 139 7.3 COMPUTER EXPERIMENTS 142 7.3.1 EXPLORING PHASE SPACE FOR DIFFERENT WALL OSCILLATIONS . . 142 7.3.2 KAM CURVES AND STOCHASTIC ACCELERATION 144 7.3.3 FIXED POINTS AND LINEAR STABILITY 146 7.3.4 ABSOLUTE BARRIERS 148 7.3.5 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 150 7.4 SUGGESTIONS FOR FURTHER STUDIES 154 7.5 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 154 REFERENCES 155 8 THE DUFFING OSCILLATOR 157 8.1 THE DUFFING EQUAUEON 157 8.2 NUMERICAL TECHNIQUES 161 8.3 INTERACTING WITH THE PROGRAM 161 8.4 COMPUTER EXPERIMENTS 168 8.4.1 CHAOTIC AND REGULAER OSCILLATIONS 168 8.4.2 THE FREC DUFFING OSCILLATOR 168 8.4.3 ANHARMONIC VIBRATIONS: R.ESONANCES AND BISTABILITY. ... 171 8.4.4 COEXISTING LIMIT CYCLES AND STRANGE ATTRACTORS 174 8.4.5 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 176 8.5 SUGGESTIONS FOR FURTHER STUDIES 181 8.6 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 181 REFERENCES 183 9 FEIGENBAUM SCENARIO 185 9.1 ONC-DIMENSIONAL MAPS 186 9.2 INTERACTING WITH THE PROGRAM 188 9.3 COMPUTER EXPERIMENTS 191 9.3.1 PERIOD-DOUBLING BIFURCATIONS 191 9.3.2 THE CHAOTIC REGIME 195 9.3.3 LYAPUNOV EXPONENTS 199 9.3.4 THE TENT MAP 2(10 9.3.5 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 202 9.4 SUGGESTIONS FOR FURTHER STUDIES 206 9.5 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 208 REFERENCES 209 10 NONLINEAR ELECTRONIC CIRCUITS 211 10.1 A CHAOS GENERATOR 211 10.2 NUMERICAL TECHNIQUES 214 10.3 INTERACTING WITH THE PROGRAM 215 10.4 COMPUTER EXPERIMENTS 220 XIV CONTENTS 10.4.1 HOPF BIFURCATION 220 10.4.2 PERIOD-DOUBLING 221 10.4.3 RETURN MAP 225 10.4.4 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 226 10.5 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 229 REFERENCES 230 11 MANDELBROT AND JULIA SETS 231 11.1 TWO-DIMENSIONAL ITERATCD MAPS 231 11.2 NNMERICAL METLIODS 235 11.3 INTERACTING WITH THE PROGRAIU 236 11.4 COMPUTER EXPERIMENTS 242 11.4.1 MANDELBROT AND JULIA-SETS 242 11.4.2 ZOOMING INTO THE MANDELBROT SET 244 11.4.3 GENERAL TWO-DIMENSIONAL QUADRATIE MAPPINGS 245 11.4.4 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 249 11.5 SUGGESTIONS FOR FURTHER STUDIES 251 11.6 R.EAL EXPERIMENTS AND EMPIRICAL EVIDENCE 252 REFERENCES 253 12 ORDINARY DIFFERENTIAL EQUATIONS 255 12.1 NUMERICAL TECHNIQUES 256 12.2 INTERACTING WITH THE PROGRAM 256 12.3 COMPUTER EXPERIMENTS 208 12.3.1 THE PENDULUM 268 12.3.2 A SIMPLE HOPF BIFURCATION 270 12.3.3 THE DUFFING OSCILLATOR RCVISITED 273 12.3.4 HILL S EQUATION 275 12.3.5 THE LORENZ ATTRACTOR 281 12.3.6 THE ROESSLER ATTRACTOR 284 12.3.7 THE HENON-HEILES SYSTEM 285 12.3.8 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 288 12.4 SUGGESTIONS FOR FURTHER STUDIES 293 REFERENCES 298 13 KICKED SYSTEMS 301 13.1 INTERACTING WITH THE PROGRAM 303 13.2 COMPUTER EXPERIMENTS 307 13.2.1 THE STANDARD MAPPING 307 13.2.2 THE KICKED QUARTIC OSCILLATOR 309 13.2.3 THE KICKED QUARTIC OSCILLATOR WITH DAMPING 311 13.2.4 THE HENON MAP 312 13.2.5 SUGGESTIONS FOR ADDITIONAL EXPERIMENTS 313 13.3 REAL EXPERIMENTS AND EMPIRICAL EVIDENCE 316 REFERENCES 316 CONTENTS XV A SYSTEM REQUIREMENTS AND PROGRAM INSTALLATION 319 A.L SYSTEM REQUIREMENTS 319 A.2 INSTALLING THE PROGRAMS 319 A.2.1 WINDOWS OPERATING SYSTEM 320 A.2.2 LINUX OPERATING SYSTEM 320 A.3 PROGRAMS 321 A.4 THIRD PARTY SOFTWARE 321 B GENERAL REMARKS ON USING THE PROGRAMS 323 B.L INTERACTION WITH THE PROGRAMS 323 B.2 INPUT OF MATHEMATICAL EXPRESSIONS 325 GLOSSARY 327 INDEX 335
any_adam_object	1
author	Korsch, Hans-Jürgen 1944- Jodl, Hans-Jörg Hartmann, Timo 1973-
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author_role	aut aut aut
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format	Kit Book
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spellingShingle	Korsch, Hans-Jürgen 1944- Jodl, Hans-Jörg Hartmann, Timo 1973- Chaos a program collection for the PC Nichtlineares dynamisches System (DE-588)4126142-2 gnd Simulation (DE-588)4055072-2 gnd Chaostheorie (DE-588)4009754-7 gnd Personal Computer (DE-588)4115533-6 gnd Chaotisches System (DE-588)4316104-2 gnd Computersimulation (DE-588)4148259-1 gnd
subject_GND	(DE-588)4126142-2 (DE-588)4055072-2 (DE-588)4009754-7 (DE-588)4115533-6 (DE-588)4316104-2 (DE-588)4148259-1 (DE-588)4055382-6 (DE-588)4139307-7
title	Chaos a program collection for the PC
title_auth	Chaos a program collection for the PC
title_exact_search	Chaos a program collection for the PC
title_full	Chaos a program collection for the PC H. J. Korsch ; H.-J. Jodl ; T. Hartmann
title_fullStr	Chaos a program collection for the PC H. J. Korsch ; H.-J. Jodl ; T. Hartmann
title_full_unstemmed	Chaos a program collection for the PC H. J. Korsch ; H.-J. Jodl ; T. Hartmann
title_short	Chaos
title_sort	chaos a program collection for the pc
title_sub	a program collection for the PC
topic	Nichtlineares dynamisches System (DE-588)4126142-2 gnd Simulation (DE-588)4055072-2 gnd Chaostheorie (DE-588)4009754-7 gnd Personal Computer (DE-588)4115533-6 gnd Chaotisches System (DE-588)4316104-2 gnd Computersimulation (DE-588)4148259-1 gnd
topic_facet	Nichtlineares dynamisches System Simulation Chaostheorie Personal Computer Chaotisches System Computersimulation Software CD-ROM
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016170198&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT korschhansjurgen chaosaprogramcollectionforthepc AT jodlhansjorg chaosaprogramcollectionforthepc AT hartmanntimo chaosaprogramcollectionforthepc

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