Global bifurcation of periodic solutions to ordinary differential equations

DOI10.1006/jdeq.1997.3336zbMath0903.34033OpenAlexW2064194346MaRDI QIDQ1381635

James Robert jun. Ward

Publication date: 10 December 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ee847cd220ec039fc874831c1ea7c61a4f3684a8

zbMATH Keywords

boundary value problemsmultiplicity of solutionsbifurcationsConley indexparabolic PDEsecond-order ODE

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Global structure of positive solutions for superlinear second-order periodic boundary value problems ⋮ Positive solutions for nonlinear discrete periodic boundary value problems ⋮ Bifurcation from interval and positive solutions for second order periodic boundary value problems ⋮ CONTINUATION THEOREMS FOR AMBROSETTI-PRODI TYPE PERIODIC PROBLEMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric theory of semilinear parabolic equations
• Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations
• Some global results for nonlinear eigenvalue problems
• Some remarks on the Böhme-Berger bifurcation theorem
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• A Morse equation in Conley's index theory for semiflows on metric spaces
• The zero set of a solution of a parabolic equation.
• On the Homotopy Index for Infinite-Dimensional Semiflows
• A global continuation theorem and bifurcation from infinity for infinite-dimensional dynamical systems

This page was built for publication: Global bifurcation of periodic solutions to ordinary differential equations