A topological approach to stability of pulses bifurcating from an inclination-flip homoclinic orbit
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Bibliographic record
Abstract
The linear stability problem of multiple pulse solutions of a parabolic system is considered. A topological approach is applied to the eigenvalue problem. Pulses which bifurcate from an inclination-flip homoclinic orbit are treated. A relation between distribution of the eigenvalues and geometry of the homoclinic orbits is proven. In the proof of the theorem, a topological constraint for the distribution of the eigenvalues is discovered and made clear.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
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| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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