Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin
Inst. für Angewandte Analysis und Stochastik
1994
|
| Series: | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint
94 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 83 - 88 |
| Physical Description: | VII, 88 S. graph. Darst. |
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| 245 | 1 | 0 | |a Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics |c Hermann Haaf |
| 264 | 1 | |a Berlin |b Inst. für Angewandte Analysis und Stochastik |c 1994 | |
| 300 | |a VII, 88 S. |b graph. Darst. | ||
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| 490 | 1 | |a Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |v 94 | |
| 500 | |a Literaturverz. S. 83 - 88 | ||
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| _version_ | 1816443171222061056 |
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| adam_text |
CONTENTS
0
INTRODUCTION
1
1
KINETIC
EQUATIONS
9
1.1
EXISTENCE
OF
PERIODIC
SOLUTIONS
.
9
1.2
STABILITY
OF
PERIODIC
SOLUTIONS
.
19
2
LINEAR
STABILITY
&
HOPF
BIFURCATION
27
2.1
LINEAR
STABILITY
ANALYSIS
.
27
2.2
NONLINEAR
ANALYSIS
OF
THE
HOPF
BIFURCATION
.
30
3
PERTURBATIONS
FROM
8
=
OO
35
3.1
OUTLINE
.
35
3.2
INVARIANT
MANIFOLD
THEORY
.
36
3.3
PERIODIC
TRAVELLING
WAVES
TO
THE
FITZHUGH-NAGUMO
SYSTEM
.
37
3.3.1
STRUCTURAL
STABILITY
OF
CLOSED
ORBITS
.
40
3.4
CONCLUSIONS
.
42
4
CONSTRUCTION
OF
SINGULAR
SOLUTIONS
43
4.1
SINGULAR
PERIODIC
AND
HOMOCLINIC
SOLUTIONS
.
43
4.1.1
MECHANICAL
INTERPRETATION
.
47
4.1.2
DERIVATION
OF
THE
SADDLE-CONNECTION
.
49
4.2
DEGENERATE
SINGULAR
PERIODIC
AND
HOMOCLINIC
SOLUTION
.
51
5
PERSISTENCE
OF
SINGULAR
SOLUTIONS
56
5.1
PRELIMINARIES
.
57
5.2
HOMOCLINIC
SOLUTIONS
.
58
5.3
NON-PERSISTENCE
OF
DEGENERATE
SINGULAR
HOMOCLINIC
SOLUTIONS
.
.
66
5.4
PERIODIC
SOLUTIONS
.
67
5.4.1
THE
NON-DEGENERATE
CASE
.
69
5.4.2
THE
DEGENERATE
CASE
.
72
A
CUSP
CALCULATION
76
B
TOPOLOGICAL
TECHNIQUES
79
B.L
WAZEWSKI'
S
PRINCIPLE
.
79
B.2
BROUWER
DEGREE
.
80
REFERENCES
83
II |
| any_adam_object | 1 |
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| id | DE-604.BV009687981 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:06:38Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006406511 |
| oclc_num | 75467539 |
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| physical | VII, 88 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Inst. für Angewandte Analysis und Stochastik |
| record_format | marc |
| series | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| series2 | Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| spelling | Haaf, Hermann Verfasser aut Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics Hermann Haaf Berlin Inst. für Angewandte Analysis und Stochastik 1994 VII, 88 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 94 Literaturverz. S. 83 - 88 Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 94 (DE-604)BV007518793 94 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006406511&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haaf, Hermann Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| title | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics |
| title_auth | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics |
| title_exact_search | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics |
| title_full | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics Hermann Haaf |
| title_fullStr | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics Hermann Haaf |
| title_full_unstemmed | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics Hermann Haaf |
| title_short | Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics |
| title_sort | existence of periodic travelling waves to reaction diffusion equations with excitable oscillatory kinetics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006406511&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007518793 |
| work_keys_str_mv | AT haafhermann existenceofperiodictravellingwavestoreactiondiffusionequationswithexcitableoscillatorykinetics |