Bifurcations in non-autonomous scalar equations

DOI10.1016/j.jde.2005.06.023zbMath1096.34026OpenAlexW2034683908MaRDI QIDQ818428

José Antonio Langa, James C. Robinson, Antonio Suárez

Publication date: 20 March 2006

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

Full work available at URL: https://idus.us.es/xmlui/handle/11441/40128

zbMATH Keywords

stabilitybifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10)

Related Items (19)

NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP ⋮ Nonautonomous bifurcation patterns for one-dimensional differential equations ⋮ A direct method for the numerical computation of bifurcation points underlying symmetries ⋮ Nonautonomous bifurcations in nonlinear impulsive systems ⋮ Finite-time attractivity and bifurcation for nonautonomous differential equations ⋮ Persistence and imperfection of nonautonomous bifurcation patterns ⋮ Bifurcation theory of attractors and minimal sets in d-concave nonautonomous scalar ordinary differential equations ⋮ Asymptotic behavior of a nonautonomous free boundary problem with two populations ⋮ Negatively invariant sets and entire solutions ⋮ Uniformly attracting solutions of nonautonomous differential equations ⋮ NONAUTONOMOUS BIFURCATION OF BOUNDED SOLUTIONS: CROSSING CURVE SITUATIONS ⋮ A BIFURCATION ANALYSIS OF A 3D BLOWFLY MODEL IN DISCRETE AND CONTINUOUS TIME ⋮ Global dynamic bifurcation of local semiflows and nonlinear evolution equations ⋮ Taylor approximation of integral manifolds ⋮ Li–Yorke chaos in nonautonomous Hopf bifurcation patterns—I ⋮ Nonautonomous bifurcation scenarios in SIR models ⋮ Bifurcations of asymptotically autonomous differential equations ⋮ Towards a bifurcation theory for nonautonomous difference equations ⋮ Rethinking the definition of rate-induced tipping

Cites Work

• Hopf bifurcation from non-periodic solutions of differential equations. II
• Random attractors
• Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient
• Hopf bifurcation from nonperiodic solutions of differential equations. I: Linear theory
• Attractors of non-autonomous dynamical systems and their dimension
• Stability, instability, and bifurcation phenomena in non-autonomous differential equations
• Random Point Attractors Versus Random Set Attractors
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• Stability, Instability and Chaos
• Cocycle Attractors of Variable Time-Step Discretizations of Lorenzian Systems^∗
• TWO-STEP TRANSITION IN NONAUTONOMOUS BIFURCATIONS: AN EXPLANATION
• BIFURCATIONS AND CONTINUOUS TRANSITIONS OF ATTRACTORS IN AUTONOMOUS AND NONAUTONOMOUS SYSTEMS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bifurcations in non-autonomous scalar equations