The conley index for fast-slow systems. II: multidimensional slow variable
DOI10.1016/j.jde.2005.11.006zbMath1107.34051OpenAlexW79586319MaRDI QIDQ2496729
Hiroshi Kokubu, Hiroe Oka, Tomáš Gedeon, Konstantin Mischaikow
Publication date: 20 July 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.11.006
Periodic solutions to ordinary differential equations (34C25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Cites Work
- The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index
- Geometric singular perturbation theory for ordinary differential equations
- Singular index pairs
- The Conley index for fast-slow systems. I: One-dimensional slow variable
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