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
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...
The main goal of this paper is a global continuation theorem for homoclinic solutions of autonomous ...
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...
We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurc...
In this paper we consider some piecewise smooth $2$-dimensional systems having a possibly non-smoot...
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamilton...
I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main go...
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...
homoclimc orbit In 1969 Shilnikov described a bifurcation for families of ordinan ' differentia...
AbstractRegarding the small perturbation as a parameter in an appropriate space of functions, we can...
Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. ...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...
The main goal of this paper is a global continuation theorem for homoclinic solutions of autonomous ...
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...
We show that homoclinic trajectories of nonautonomous vector fields parametrized by a circle bifurc...
In this paper we consider some piecewise smooth $2$-dimensional systems having a possibly non-smoot...
We obtain sufficient conditions for bifurcation of homoclinic trajectories of nonautonomous Hamilton...
I will shortly discuss an approach to bifurcation theory based on elliptic topology. The main go...
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...
homoclimc orbit In 1969 Shilnikov described a bifurcation for families of ordinan ' differentia...
AbstractRegarding the small perturbation as a parameter in an appropriate space of functions, we can...
Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. ...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
Girod A. (In)Finite Time Dynamical Systems with Homoclinic Structures – Discretization and Approxima...
The main goal of this paper is a global continuation theorem for homoclinic solutions of autonomous ...
DOI
Add to ORKG