Applied delay differential equations:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer
2009
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Schriftenreihe: | Surveys and tutorials in the applied mathematical sciences
3 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Angekündigt als: Erneux, Thomas: Delay differential equations |
Beschreibung: | XI, 204 S. graph. Darst. |
ISBN: | 0387743715 9780387743714 |
Internformat
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Datensatz im Suchindex
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adam_text | THOMAS EMEUX APPLIED DELAY DIFFERENTIAL EQUATIONS SPRINGE] CONTENTS 1
INTRODUCTION 1 1.1 PROPERTIES 2 1.1.1 OSCILLATIONS 2 1.1.2 SHORT TIME
SOLUTION 3 1.2 CYCLIC BEHAVIORS 5 1.3 CAR-FOLLOWING MODELS 7 1.4
POPULATION DYNAMICS 9 1.5 NONLINEAR OPTICS 13 1.6 FLUID DYNAMICS 15 1.7
ECONOMICS 17 1.8 MECHANICAL ENGINEERING 20 1.9 COMBUSTION ENGINES 22
1.10 CLASSES OF DDES 23 1.10.1 DELAY RECRUITMENT EQUATION 24 1.10.2
HARMONIC OSCILLATOR WITH DELAY 24 1.11 ANALYTICAL TOOLS 27 2 STABILITY
29 2.1 THE CHARACTERISTIC EQUATION 30 2.1.1 ROOTS 31 2.1.2 HOPF
BIFURCATION POINT 32 2.2 POSITION CONTROL AND SAMPLING 33 2.3 REDUCTION
OF PAYLOAD OSCILLATIONS 36 X CONTENTS 2.4 TRAFFIC STABILITY 39 2.4.1
CAR-FOLLOWING MODELS 39 2.4.2 LOCAL AND ASYMPTOTIC STABILITY 42 2.5
BISTABILITY 43 2.6 METASTABILITY 46 3 BIOLOGY 49 3.1 POPULATION PERIODIC
CYCLES 50 3.2 THE HOPF BIFURCATION 52 3.3 TIME-DELAYED NEGATIVE FEEDBACK
56 3.3.1 CIRCULATING RED BLOOD CELLS 56 3.3.2 PUPIL LIGHT REFLEX 59
3.3.3 PERIODIC BREATHING 62 3.3.4 GENETIC OSCILLATIONS 63 3.4 HUMAN
POSTURAL CONTROL 68 3.5 THE INVERTED PENDULUM 71 4 BERNOULLI S EQUATION
75 4.1 THE CLARINET 76 4.2 SLEEP DISORDERS 81 4.3 CASCADED CONTROL OF A
LIQUID LEVEL SYSTEM 85 5 CHEMISTRY 91 5.1 ILLUMINATED THERMOCHEMICAL
REACTION 93 5.1.1 REFORMULATION 93 5.1.2 FEEDBACK 95 5.2 THE BISTABLE
IODATE-ARSENOUS ACID REACTION 97 5.3 WEAK DELAYED FEEDBACK 100 5.3.1
EXPERIMENTS 100 5.3.2 A PIECEWISE LINEAR OSCILLATOR 103 6 MECHANICAL
VIBRATIONS 109 6.1 CONTROL ENGINEERING 109 6.2 THE METHOD OF MULTIPLE
SCALES ILL 6.3 MINORSKY S EQUATION 113 6.3.1 HOPF BIFURCATION 113 6.3.2
HOPF BIFURCATION FOR LARGE DELAY 114 6.3.3 TORUS BIFURCATION 116 6.3.4
MAP 117 6.3.5 LARGE DELAY ASYMPTOTICS: GINZBURGH-LANDAU EQUATION 118 6.4
JOHNSON AND MOON S EQUATION 122 6.4.1 UNUSUAL HOPF BIFURCATION 123 6.5
MACHINE TOOL VIBRATIONS 125 6.5.1 FORMULATION AND STABILITY 126 CONTENTS
XI 6.6 EXPERIMENTS 130 6.6.1 LINEAR THEORY 131 6.6.2 NONLINEAR THEORY
132 7 LASERS 135 7.1 OPTOELECTRONIC FEEDBACK 136 7.2 DELAYED INCOHERENT
FEEDBACK 138 7.2.1 SMALL FEEDBACK RATE 138 7.2.2 MODERATE FEEDBACK RATE
142 7.2.3 BIFURCATION NEAR A DOUBLE HOPF POINT 146 7.3 DELAYED COHERENT
FEEDBACK 152 7.3.1 SINGLE-MODE SOLUTIONS 155 7.3.2 TWO MODE SOLUTIONS
AND MODE BEATING 156 7.3.3 NUMERICAL SIMULATIONS AND BRIDGES 157 7.4
IMAGING USING OFB 160 7.4.1 STABILITY ANALYSIS 161 7.4.2 LOW FEEDBACK
RATE APPROXIMATION 162 7.5 OPTOELECTRONIC OSCILLATORS 165 8 PHASE
EQUATIONS 169 8.1 WEAKLY COUPLED OSCILLATORS 171 8.1.1 BASIC SOLUTIONS
171 8.1.2 EXPERIMENTS 175 8.2 STRONGLY COUPLED OSCILLATORS 176
REFERENCES 181 INDEX 201
|
adam_txt |
THOMAS EMEUX APPLIED DELAY DIFFERENTIAL EQUATIONS SPRINGE] CONTENTS 1
INTRODUCTION 1 1.1 PROPERTIES 2 1.1.1 OSCILLATIONS 2 1.1.2 SHORT TIME
SOLUTION 3 1.2 CYCLIC BEHAVIORS 5 1.3 CAR-FOLLOWING MODELS 7 1.4
POPULATION DYNAMICS 9 1.5 NONLINEAR OPTICS 13 1.6 FLUID DYNAMICS 15 1.7
ECONOMICS 17 1.8 MECHANICAL ENGINEERING 20 1.9 COMBUSTION ENGINES 22
1.10 CLASSES OF DDES 23 1.10.1 DELAY RECRUITMENT EQUATION 24 1.10.2
HARMONIC OSCILLATOR WITH DELAY 24 1.11 ANALYTICAL TOOLS 27 2 STABILITY
29 2.1 THE CHARACTERISTIC EQUATION 30 2.1.1 ROOTS 31 2.1.2 HOPF
BIFURCATION POINT 32 2.2 POSITION CONTROL AND SAMPLING 33 2.3 REDUCTION
OF PAYLOAD OSCILLATIONS 36 X CONTENTS 2.4 TRAFFIC STABILITY 39 2.4.1
CAR-FOLLOWING MODELS 39 2.4.2 LOCAL AND ASYMPTOTIC STABILITY 42 2.5
BISTABILITY 43 2.6 METASTABILITY 46 3 BIOLOGY 49 3.1 POPULATION PERIODIC
CYCLES 50 3.2 THE HOPF BIFURCATION 52 3.3 TIME-DELAYED NEGATIVE FEEDBACK
56 3.3.1 CIRCULATING RED BLOOD CELLS 56 3.3.2 PUPIL LIGHT REFLEX 59
3.3.3 PERIODIC BREATHING 62 3.3.4 GENETIC OSCILLATIONS 63 3.4 HUMAN
POSTURAL CONTROL 68 3.5 THE INVERTED PENDULUM 71 4 BERNOULLI'S EQUATION
75 4.1 THE CLARINET 76 4.2 SLEEP DISORDERS 81 4.3 CASCADED CONTROL OF A
LIQUID LEVEL SYSTEM 85 5 CHEMISTRY 91 5.1 ILLUMINATED THERMOCHEMICAL
REACTION 93 5.1.1 REFORMULATION 93 5.1.2 FEEDBACK 95 5.2 THE BISTABLE
IODATE-ARSENOUS ACID REACTION 97 5.3 WEAK DELAYED FEEDBACK 100 5.3.1
EXPERIMENTS 100 5.3.2 A PIECEWISE LINEAR OSCILLATOR 103 6 MECHANICAL
VIBRATIONS 109 6.1 CONTROL ENGINEERING 109 6.2 THE METHOD OF MULTIPLE
SCALES ILL 6.3 MINORSKY'S EQUATION 113 6.3.1 HOPF BIFURCATION 113 6.3.2
HOPF BIFURCATION FOR LARGE DELAY 114 6.3.3 TORUS BIFURCATION 116 6.3.4
MAP 117 6.3.5 LARGE DELAY ASYMPTOTICS: GINZBURGH-LANDAU EQUATION 118 6.4
JOHNSON AND MOON'S EQUATION 122 6.4.1 UNUSUAL HOPF BIFURCATION 123 6.5
MACHINE TOOL VIBRATIONS 125 6.5.1 FORMULATION AND STABILITY 126 CONTENTS
XI 6.6 EXPERIMENTS 130 6.6.1 LINEAR THEORY 131 6.6.2 NONLINEAR THEORY
132 7 LASERS 135 7.1 OPTOELECTRONIC FEEDBACK 136 7.2 DELAYED INCOHERENT
FEEDBACK 138 7.2.1 SMALL FEEDBACK RATE 138 7.2.2 MODERATE FEEDBACK RATE
142 7.2.3 BIFURCATION NEAR A DOUBLE HOPF POINT 146 7.3 DELAYED COHERENT
FEEDBACK 152 7.3.1 SINGLE-MODE SOLUTIONS 155 7.3.2 TWO MODE SOLUTIONS
AND MODE BEATING 156 7.3.3 NUMERICAL SIMULATIONS AND BRIDGES 157 7.4
IMAGING USING OFB 160 7.4.1 STABILITY ANALYSIS 161 7.4.2 LOW FEEDBACK
RATE APPROXIMATION 162 7.5 OPTOELECTRONIC OSCILLATORS 165 8 PHASE
EQUATIONS 169 8.1 WEAKLY COUPLED OSCILLATORS 171 8.1.1 BASIC SOLUTIONS
171 8.1.2 EXPERIMENTS 175 8.2 STRONGLY COUPLED OSCILLATORS 176
REFERENCES 181 INDEX 201 |
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spelling | Erneux, Thomas Verfasser (DE-588)138254257 aut Applied delay differential equations Thomas Erneux Delay differential equations New York, NY Springer 2009 XI, 204 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Surveys and tutorials in the applied mathematical sciences 3 Angekündigt als: Erneux, Thomas: Delay differential equations Anwendung (DE-588)4196864-5 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Anwendung (DE-588)4196864-5 s DE-604 Erscheint auch als Online-Ausgabe 978-0-387-74372-1 Surveys and tutorials in the applied mathematical sciences 3 (DE-604)BV021500680 3 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016661836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Erneux, Thomas Applied delay differential equations Surveys and tutorials in the applied mathematical sciences Delay differential equations Anwendung (DE-588)4196864-5 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
subject_GND | (DE-588)4196864-5 (DE-588)4199298-2 |
title | Applied delay differential equations |
title_alt | Delay differential equations |
title_auth | Applied delay differential equations |
title_exact_search | Applied delay differential equations |
title_exact_search_txtP | Applied delay differential equations |
title_full | Applied delay differential equations Thomas Erneux |
title_fullStr | Applied delay differential equations Thomas Erneux |
title_full_unstemmed | Applied delay differential equations Thomas Erneux |
title_short | Applied delay differential equations |
title_sort | applied delay differential equations |
topic | Delay differential equations Anwendung (DE-588)4196864-5 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
topic_facet | Delay differential equations Anwendung Differentialgleichung mit nacheilendem Argument |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016661836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV021500680 |
work_keys_str_mv | AT erneuxthomas applieddelaydifferentialequations AT erneuxthomas delaydifferentialequations |