A generalization of a theorem of marotto

DOI10.1017/S0027763000019292zbMath0424.58019MaRDI QIDQ3858979

Masahiro Kurata, K. Shiraiwa

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

chaosperiodic pointhyperbolic fixed pointtransversal homoclinic point

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Semihyperbolic mappings, Li–Yorke chaos in higher dimensions: a review, CHAOTIFYING THE CONTROLLABLE LINEAR SYSTEM VIA SINGLE INPUT STATE FEEDBACK, Generation of chaos by dynamical systems defined in ordered banach spaces, A quasihomoclinic structure generated by a semigroup of operators in Banach space, Chaotic phenomena, Chaos, complex transients and noise: illustration with a Kaldor model.

Cites Work

• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• On Morse-Smale dynamical systems
• Hartman’s theorem for hyperbolic sets
• Period Three Implies Chaos