Behavior of solutions near integral manifolds

DOI10.1007/BF00276159zbMath0093.08903MaRDI QIDQ772280

Jack K. Hale, Arnold P. Stokes

Publication date: 1960

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equations

Related Items (16)

Stability of sets for impulsive systems ⋮ Behavior of solutions near manifolds of periodic solutions ⋮ Hopf bifurcation and symmetry: travelling and standing waves on the circle ⋮ Global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ Attractors of systems close to autonomous ones having a stable limit cycle ⋮ Boundedness and periodic solutions in infinite delay systems ⋮ Asymptotic stability regions via extensions of zubov's method—II ⋮ Hopf bifurcation in the presence of symmetry ⋮ On the global stability of sets for impulsive differential systems by Lyapunov's direct method ⋮ Local coordinates around a limit cycle of a functional differential equation with applications ⋮ An application of the invariance principle to reaction diffusion equations ⋮ Entrainment by chaos ⋮ Asymptotic behaviors in functional differential equations ⋮ Global stability of sets for systems with impulses ⋮ On the stability of integral manifolds of functional differential equations ⋮ Invariant manifolds with asymptotic phase

Cites Work

• Ein Fixpunktsatz
• A topology for spaces of transformations
• A general equation for relaxation oscillations
• Linear Differential Equations with Almost Periodic Coefficients
• Asymptotic Integration Constants
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