Period two implies chaos for a class of ODEs

DOI10.1090/S0002-9939-07-08700-XzbMath1124.34335MaRDI QIDQ3432763

Franco Obersnel, Pierpaolo Omari

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

lower and upper solutionsdifferential inclusionperiodic solutionsubharmonic solutionfirst order scalar ordinary differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60)

Related Items

Period two implies all periods for a class of ODEs: A multivalued map approach, Period two implies chaos for a class of multivalued maps: a naive approach, The hidden unstable orbits of maps with gaps, The standard Sharkovsky cycle coexistence theorem applies to impulsive differential equations: Some notes and beyond, Sharkovsky-Type Theorems on S1 Applicable to Differential Equations, Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions

Cites Work

• Positive solutions of elliptic problems with locally oscillating nonlinearities
• On a multivalued version of the Sharkovskii theorem and its application to differential inclusions
• On a multivalued version of the Sharkovskii theorem and its application to differential inclusions. II
• Period Three Implies Chaos
• A version of Sharkovskii’s theorem for differential equations
• Old and New Results for First Order Periodic ODEs without Uniqueness: a Comprehensive Study by Lower and Upper Solutions