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Record Nr. |
UNINA9910788850103321 |
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Autore |
Scheel Arnd <1966-> |
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Titolo |
Radially symmetric patterns of reaction-diffusion systems / / Arnd Scheel |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2003] |
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©2003 |
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ISBN |
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Descrizione fisica |
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1 online resource (102 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 786 |
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Disciplina |
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Soggetti |
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Reaction-diffusion equations |
Bifurcation theory |
Normal forms (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 165, number 786 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 83-86). |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Instabilities in one space dimension""; ""1. Introduction""; ""2. Classifying instabilities of reaction-diffusion systems""; ""3. Stationary bifurcations and spatial dynamics""; ""4. Oscillatory bifurcations and spatial dynamics""; ""Chapter 3. Stationary radially symmetric patterns""; ""1. Classification and radial dynamics""; ""2. Center manifolds""; ""3. Expansions and normal forms""; ""4. Matching and transversality""; ""Chapter 4. Time-periodic radially symmetric patterns""; ""1. Radial dynamics on time-periodic functions"" |
""2. Center manifolds""""3. The reduced vector field for a Hopf instability""; ""4. Heteroclinics in the reduced equation""; ""5. Persistence""; ""Chapter 5. Discussion""; ""1. Stability""; ""2. Beyond radial symmetry""; ""3. Boundaries and holes""; ""4. Concluding remarks""; ""Bibliography"" |
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