Homoclinic/heteroclinic recurrent orbits and horseshoe

Perturbations of ordinary differential equations (34D10) Symbolic dynamics (37B10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

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Chaotic behavior in differential equations driven by a Brownian motion
Exponential dichotomies, heteroclinic orbits, and Melnikov functions
Chaos in almost periodic systems
Bifurcation and chaos near sliding homoclinics
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I
Global bifurcations and chaos. Analytical methods
On the periodic motions of dynamical systems.
New methods in celestial mechanics. Vol. I. Periodic solutions. Nonexistence of uniform integrals. Asymptotic solutions
Chaotic solutions of systems with almost periodic forcing
Exponential dichotomies and transversal homoclinic points
The weak Smale horseshoe and mean hyperbolicity
Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations
Multiple chaos arising from single-parametric perturbation of a degenerate homoclinic orbit
Multiple transverse homoclinic solutions near a degenerate homoclinic orbit
Chaos in differential equations driven by a nonautonomous force
Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
The double scroll
The dynamics of coherent structures in the wall region of a turbulent boundary layer
Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
Averaging and integral manifolds (II)

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