An analogue to the Smale-Birkhoff homoclinic theorem for iterated entire mappings

DOI10.1007/BF01837976zbMath0809.58033OpenAlexW4246857567MaRDI QIDQ1332265

Franz Rothe

Publication date: 29 March 1995

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137589

zbMATH Keywords

periodic orbitsdiscrete dynamical systemsnapback repellerentire analytic mapping

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems over complex numbers (37F99)

Related Items (1)

Low-Dimensional Homoclinic Bifurcations of Repellers

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Snapback repellers and semiconjugacy for iterated entire mappings. Global aspects of an old theorem of Poincaré
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Iteration of analytic functions
• Complex analytic dynamics on the Riemann sphere
• The dynamical systems approach to differential equations
• Discrete Dynamical Systems in Dimensions One and Two
• Period Three Implies Chaos

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