Geometric theory of discrete nonautonomous dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Lecture notes in mathematics
2002 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXIV, 399 S. Ill., graph. Darst. |
| ISBN: | 9783642142574 |
Staff View
MARC
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| 245 | 1 | 0 | |a Geometric theory of discrete nonautonomous dynamical systems |c Christian Pötzsche |
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Record in the Search Index
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| adam_text |
CONTENTS PREFACE VII NOTATION XVII 1 NONAUTONOMOUS DYNAMICAL SYSTEMS 1
1. 1 NONAUTONOMOUS SETS AND 2-PARAMETER SEMIGROUPS 2 1.2 INVARIANT AND
LIMIT SETS 5 1.3 ATTRACTORS AND GLOBAL ATTRACTORS 16 1.4 PERIODIC AND
AUTONOMOUS 2-PARAMETER SEMIGROUPS 21 1.5 APPLICATIONS: DISCRETIZED
SEMIFLOWS 24 1.5.1 RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS 24 1.5.2
ABSTRACT EVOLUTION EQUATIONS 26 1.5.3 REACTION-DIFFUSION EQUATIONS 29
1.5.4 DOUBLY NONLINEAR EQUATIONS 31 1.6 REMARKS 33 2 NONAUTONOMOUS
DIFFERENCE EQUATIONS 37 2.1 BASICS AND EXAMPLES 39 2.2 EXISTENCE AND
BOUNDEDNESS OF SOLUTIONS 44 2.3 DIFFERENCE EQUATIONS AND 2-PARAMETER
SEMIGROUPS 51 2.4 STABILITY 60 2.5 PERIODIC AND AUTONOMOUS DIFFERENCE
EQUATIONS 68 2.6 APPLICATIONS 70 2.6.1 FULLY DISCRETIZED FUNCTIONAL
DIFFERENTIAL EQUATIONS 71 2.6.2 TIME-DISCRETIZED ABSTRACT EVOLUTION
EQUATIONS 73 2.6.3 FULLY DISCRETIZED REACTION-DIFFUSION EQUATIONS 75
2.6.4 FULLY DISCRETIZED FINITE DIFFERENCE GINZBURG-LANDAU EQUATION 80
2.6.5 TIME-DISCRETIZED DOUBLY NONLINEAR EQUATIONS 88 2.7 REMARKS 89 3
LINEAR DIFFERENCE EQUATIONS 95 3.1 BASICS 96 3.2 PERIODIC LINEAR
EQUATIONS 108 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1003136745
DIGITALISIERT DURCH XIV CONTENTS 3.3 INVARIANT SPLITTINGS AND
EXPONENTIAL GROWTH 114 3.4 DICHOTOMIES AND SPLITTINGS 128 3.5
ADMISSIBILITY 151 3.6 ROUGHNESS 161 3.7 APPLICATIONS 170 3.7.1
DISCRETIZED LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS 170 3.7.2
TIME-DISCRETIZED LINEAR ABSTRACT EVOLUTION EQUATIONS 173 3.7.3
TIME-DISCRETIZED LINEAR PARABOLIC EQUATIONS 174 3.7.4 FULLY DISCRETIZED
DIFFUSION EQUATIONS 175 3.8 REMARKS 1 80 4 INVARIANT FIBER BUNDLES 187
4.1 SEMILINEAR DIFFERENCE EQUATIONS 189 4.2 EXISTENCE OF INVARIANT FIBER
BUNDLES 194 4.3 INVARIANT FOLIATIONS AND ASYMPTOTIC PHASE 214 4.4
SMOOTHNESS OF FIBER BUNDLES AND FOLIATIONS 230 4.5 NORMAL HYPERBOLICITY
250 4.6 PSEUDO-STABLE AND PSEUDO-UNSTABLE FIBER BUNDLES 256 4.7 INERTIAL
FIBER BUNDLES 274 4.8 APPROXIMATION OF INVARIANT FIBER BUNDLES 279 4.9
APPLICATIONS 287 4.9.1 DISCRETIZED FUNCTIONAL DIFFERENTIAL EQUATIONS 287
4.9.2 TIME-DISCRETIZED ABSTRACT EVOLUTION EQUATIONS 289 4.9.3
TIME-DISCRETIZED PARABOLIC EVOLUTION EQUATIONS 293 4.9.4 FULLY
DISCRETIZED REACTION-DIFFUSION EQUATIONS 295 4.9.5 FULLY DISCRETIZED
FINITE DIFFERENCE GINZBURG-LANDAU EQUATION 304 4.10 REMARKS 310 5
LINEARIZATION 317 5.1 TOPOLOGICAL CONJUGATION AND DECOUPLING 318 5.2
GENERALIZED HARTMAN-GROBMAN THEOREM 326 5.3 SOLUTION CONJUGATION 334 5.
CONTENTS XV B FIXED POINT AND INVERSION THEOREMS 351 B. 1 CONTRACTIVE
MAPPINGS 352 B.2 COMPACT MAPPINGS 355 B.3 GLOBAL INVERSE FUNCTION
THEOREMS 356 B.4 REMARKS 360 C SMOOTH MAPPINGS AND EXTENSIONS 363 C.I
DIFFERENTIABILITY 363 C.2 SMOOTH NORMS AND EXTENSIONS 364 C.3 REMARKS 37
1 REFERENCES 373 INDEX 393 |
| any_adam_object | 1 |
| author | Pötzsche, Christian 1972- |
| author_GND | (DE-588)124444342 |
| author_facet | Pötzsche, Christian 1972- |
| author_role | aut |
| author_sort | Pötzsche, Christian 1972- |
| author_variant | c p cp |
| building | Verbundindex |
| bvnumber | BV036734946 |
| classification_rvk | SI 850 |
| classification_tum | MAT 344f |
| ctrlnum | (OCoLC)699856475 (DE-599)DNB1003136745 |
| 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 | 2024-07-20T10:49:44Z |
| institution | BVB |
| isbn | 9783642142574 |
| language | English |
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| physical | XXIV, 399 S. Ill., graph. Darst. |
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| spelling | Pötzsche, Christian 1972- Verfasser (DE-588)124444342 aut Geometric theory of discrete nonautonomous dynamical systems Christian Pötzsche Berlin [u.a.] Springer 2010 XXIV, 399 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2002 Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Qualitative Theorie (DE-588)4571165-3 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Diskretes System (DE-588)4401225-1 gnd rswk-swf Nichtautonomes System (DE-588)4480820-3 gnd rswk-swf Nichtautonomes System (DE-588)4480820-3 s Dynamisches System (DE-588)4013396-5 s Diskretes System (DE-588)4401225-1 s Differenzengleichung (DE-588)4012264-5 s Qualitative Theorie (DE-588)4571165-3 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-14258-1 Lecture notes in mathematics 2002 (DE-604)BV000676446 2002 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3487328&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020652531&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pötzsche, Christian 1972- Geometric theory of discrete nonautonomous dynamical systems Lecture notes in mathematics Differenzengleichung (DE-588)4012264-5 gnd Qualitative Theorie (DE-588)4571165-3 gnd Dynamisches System (DE-588)4013396-5 gnd Diskretes System (DE-588)4401225-1 gnd Nichtautonomes System (DE-588)4480820-3 gnd |
| subject_GND | (DE-588)4012264-5 (DE-588)4571165-3 (DE-588)4013396-5 (DE-588)4401225-1 (DE-588)4480820-3 |
| title | Geometric theory of discrete nonautonomous dynamical systems |
| title_auth | Geometric theory of discrete nonautonomous dynamical systems |
| title_exact_search | Geometric theory of discrete nonautonomous dynamical systems |
| title_full | Geometric theory of discrete nonautonomous dynamical systems Christian Pötzsche |
| title_fullStr | Geometric theory of discrete nonautonomous dynamical systems Christian Pötzsche |
| title_full_unstemmed | Geometric theory of discrete nonautonomous dynamical systems Christian Pötzsche |
| title_short | Geometric theory of discrete nonautonomous dynamical systems |
| title_sort | geometric theory of discrete nonautonomous dynamical systems |
| topic | Differenzengleichung (DE-588)4012264-5 gnd Qualitative Theorie (DE-588)4571165-3 gnd Dynamisches System (DE-588)4013396-5 gnd Diskretes System (DE-588)4401225-1 gnd Nichtautonomes System (DE-588)4480820-3 gnd |
| topic_facet | Differenzengleichung Qualitative Theorie Dynamisches System Diskretes System Nichtautonomes System |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3487328&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=020652531&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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