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Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits
(Physica D: Nonlinear Phenomena, 2018)
Odd homoclinic orbits for a second order Hamiltonian system
(ADVANCED NONLINEAR STUDIES, INCSAN ANTONIO, 2012)
The aim of this paper is to find an odd homoclinic orbit for a class of reversible Hamiltonian systems. The proof is variational and it employs a version of the concentration compactness principle of P. L. Lions in a lemma ...
Bifurcations at infinity, invariant algebraic surfaces, homoclinic and heteroclinic orbits and centers of a new Lorenz-like chaotic system
(2016-04-01)
We present a global dynamical analysis of the following quadratic differential system (Formula presented.) , where (Formula presented.) are the state variables and a, b, d, f, g are real parameters. This system has been ...
Homoclinic orbits in degenerate reversible-equivariant systems in R-6
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2013)
On the Multiplicity of Orthogonal Geodesics in Riemannian Manifold With Concave Boundary. Applications to Brake Orbits and Homoclinics
(ADVANCED NONLINEAR STUDIES, INC, 2009)
Let (M, g) be a complete Riemannian Manifold, Omega subset of M an open subset whose closure is diffeomorphic to an annulus. If partial derivative Omega is smooth and it satisfies a strong concavity assumption, then it is ...
Homoclinic orbits in a piecewise linear Rössler-like circuit
(2005)
In addition to the well-known Rössler funnel that consists in near-homoclinic orbits, perfect homoclinic orbits have been found numerically and experimentally in a simplest piecewise linear Rössler-like electronic circuit. ...
Homoclinic bifurcations in reversible Hamiltonian systems
(Elsevier B.V., 2006-05-15)
We study the existence of homoclic solutions for reversible Hamiltonian systems taking the family of differential equations u(iv) + au - u +f(u, b) = 0 as a model, where fis an analytic function and a, b real parameters. ...
Homoclinic bifurcations in reversible Hamiltonian systems
(Elsevier B.V., 2006-05-15)
We study the existence of homoclic solutions for reversible Hamiltonian systems taking the family of differential equations u(iv) + au - u +f(u, b) = 0 as a model, where fis an analytic function and a, b real parameters. ...
On the quantisation of homoclinic motion
(Iop Publishing LtdBristolInglaterra, 1989)
Multiple Brake Orbits and Homoclinics in Riemannian Manifolds
(SPRINGER, 2011)
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeomorphic to an annulus. We prove that if a,Omega is smooth and it satisfies a strong concavity assumption, then there are ...