Behavior of solutions near manifolds of periodic solutions

DOI10.1016/0022-0396(81)90064-4zbMath0427.58013OpenAlexW2016684967MaRDI QIDQ1136412

Aulbach, Bernd

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90064-4

zbMATH Keywords

stable and unstable manifoldsautonomous differential systembehavior near invariant manifoldsinvariant manifold represented by a k- parameter family of periodic solutions

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (9)

Asymptotic phase revisited ⋮ \((h,k)\)-trichotomies and asymptotics of nonautonomous difference systems ⋮ Asymptotic stability regions via extensions of zubov's method—II ⋮ Entrainment by chaos ⋮ Bernd Aulbach—Obituary ⋮ Integral manifolds under explicit variable time-step discretization ⋮ Invariant manifolds with asymptotic phase for nonautonomous difference equations ⋮ Invariant manifolds with asymptotic phase ⋮ Convergence to equilibrium in the classical model of population genetics

Cites Work

• Behavior of solutions near integral manifolds
• Applications of centre manifold theory
• Stability of the center-stable manifold
• The stable, center-stable, center, center-unstable, unstable manifolds
• When Do Polynomials Have Imaginary Roots?
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