On the existence of chaotic behaviour of diffeomorphisms

zbMath0789.58056MaRDI QIDQ686343

Michal Fečkan

Publication date: 13 October 1993

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15739

zbMATH Keywords

chaosbifurcationdiffeomorphismshomoclinic orbits

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Chaos in singular impulsive O.D.E.

Cites Work

• Unnamed Item
• An example of bifurcation to homoclinic orbits
• Geometric theory of semilinear parabolic equations
• Bifurcation of heteroclinic orbits for diffeomorphisms
• Global bifurcations and chaos. Analytical methods
• Exponential dichotomies and transversal homoclinic points
• Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
• Mel’nikov’s Function for Two-Dimensional Mappings
• Invariant manifolds

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