Local dynamics of planar maps with a non-isolated fixed point exhibiting 1–1 resonance
| Autor: | Orlando Merino, William T. Jamieson |
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| Rok vydání: | 2018 |
| Předmět: |
Algebra and Number Theory
Partial differential equation lcsh:Mathematics Applied Mathematics 010102 general mathematics Dynamics (mechanics) Mathematical analysis Fixed point lcsh:QA1-939 01 natural sciences Resonance (particle physics) 1–1 resonance 010101 applied mathematics Planar Ordinary differential equation Planar map Non-hyperbolic fixed point Planar difference equation 0101 mathematics Local behavior Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-22 (2018) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-018-1595-x |
| Popis: | We give a complete classification of all possible dynamical behavior scenarios valid in a neighborhood of non-isolated 1–1 resonant fixed points for planar maps that are real analytic. Examples from the literature are discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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