| Autor: |
Shilnikov, Leonid, Turaev, Dmitry |
| Rok vydání: |
2000 |
| Předmět: |
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| DOI: |
10.20347/wias.preprint.560 |
| Popis: |
In this paper, we study a global bifurcation of codimension one connected with the disappearance (for positive values of a parameter μ) of a saddle-node periodic orbit L0 under the condition that all orbits from the locally unstable manifold Wu of L0 tend to L0 as t → +∞. Conditions are presented which guarantee the blue sky catastrophe: the appearance of a stable periodic orbit Lμ which exists for any small positive values of μ but its length and period unboundedly increase as μ → + 0. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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