We describe a codimension-3 bifurcational surface in the space of 퐶푟-smooth (푟 ≥ 3) dynamical systems (with the dimension of the phase space equal to 4 or higher) which consists of systems which have an attractive two-dimensional invariant manifold with an infinite sequence of periodic orbits of alternating stability which converge to a homoclinic loop
A procedure is derived which allows for a systematic construction of three-dimensional ordinary diff...
We consider certain kinds of homoclinic bifurcations in three-dimensional vector fields. These globa...
AbstractThe stability and bifurcations of a homoclinic loop for planar vector fields are closely rel...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
AbstractIn this paper we study homoclinic loops of vector fields in 3-dimensional space when the two...
In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (wi...
AbstractWe give here a planar quadratic differential system depending on two parameters, λ, δ. There...
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds,...
Dynamical systems with a homoclinic loop to a saddle equilibrium state are considered. Andronov and ...
AbstractBifurcations of both two-dimensional diffeomorphisms with a homoclinic tangency and three-di...
We show that systems having infinitely many coexisting generic 2-elliptic periodic orbits are dense ...
AbstractOur object of study is the dynamics that arises in generic perturbations of an asymptoticall...
The main features of the orbit behavior for a Hamiltonian system in a neighborhood of a homoclinic o...
In a smooth dynamical system, a homoclinic connection is an orbit connecting a saddle equilibrium to...
The bifurcation of the birth of a closed invariant curve in the two-parameter unfolding of a two-dim...
A procedure is derived which allows for a systematic construction of three-dimensional ordinary diff...
We consider certain kinds of homoclinic bifurcations in three-dimensional vector fields. These globa...
AbstractThe stability and bifurcations of a homoclinic loop for planar vector fields are closely rel...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
AbstractIn this paper we study homoclinic loops of vector fields in 3-dimensional space when the two...
In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (wi...
AbstractWe give here a planar quadratic differential system depending on two parameters, λ, δ. There...
Heteroclinic cycles involving two saddle-foci, where the saddle-foci share both invariant manifolds,...
Dynamical systems with a homoclinic loop to a saddle equilibrium state are considered. Andronov and ...
AbstractBifurcations of both two-dimensional diffeomorphisms with a homoclinic tangency and three-di...
We show that systems having infinitely many coexisting generic 2-elliptic periodic orbits are dense ...
AbstractOur object of study is the dynamics that arises in generic perturbations of an asymptoticall...
The main features of the orbit behavior for a Hamiltonian system in a neighborhood of a homoclinic o...
In a smooth dynamical system, a homoclinic connection is an orbit connecting a saddle equilibrium to...
The bifurcation of the birth of a closed invariant curve in the two-parameter unfolding of a two-dim...
A procedure is derived which allows for a systematic construction of three-dimensional ordinary diff...
We consider certain kinds of homoclinic bifurcations in three-dimensional vector fields. These globa...
AbstractThe stability and bifurcations of a homoclinic loop for planar vector fields are closely rel...
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