We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the asymptotic stable bundles
homoclimc orbit In 1969 Shilnikov described a bifurcation for families of ordinan ' differentia...
Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. ...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a f...
We show that nontrivial homoclinic trajectories of a family of dis- crete, nonautonomous, asymptotic...
We develop a K-theoretic approach to multiparameter bifurcation theory of homoclinic solutions of di...
In this paper we consider some piecewise smooth $2$-dimensional systems having a possibly non-smoot...
We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurc...
I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main go...
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamilton...
AbstractPerturbed discrete systems likexn+1=f(xn)+μg(xn,μ),xn∈RN,n∈Z, when the associated unperturbe...
AbstractBy using Lyapunov–Schmidt reduction and exponential dichotomies, the persistence of homoclin...
AbstractRegarding the small perturbation as a parameter in an appropriate space of functions, we can...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
AbstractWe study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of fou...
homoclimc orbit In 1969 Shilnikov described a bifurcation for families of ordinan ' differentia...
Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. ...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...
We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a f...
We show that nontrivial homoclinic trajectories of a family of dis- crete, nonautonomous, asymptotic...
We develop a K-theoretic approach to multiparameter bifurcation theory of homoclinic solutions of di...
In this paper we consider some piecewise smooth $2$-dimensional systems having a possibly non-smoot...
We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurc...
I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main go...
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamilton...
AbstractPerturbed discrete systems likexn+1=f(xn)+μg(xn,μ),xn∈RN,n∈Z, when the associated unperturbe...
AbstractBy using Lyapunov–Schmidt reduction and exponential dichotomies, the persistence of homoclin...
AbstractRegarding the small perturbation as a parameter in an appropriate space of functions, we can...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
AbstractWe study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of fou...
homoclimc orbit In 1969 Shilnikov described a bifurcation for families of ordinan ' differentia...
Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. ...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...