We confirm a conjecture of Mello and Coelho [Phys. Lett. A 373 (2009) 1116] concerning the existence of centers on local center manifolds at equilibria of the Lu system of differential equations on R(3). Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique. (C) 2011 Elsevier B.V. All rights reserved
International audienceOur purpose is to give a proof of the existence and smoothness of the invaria...
AbstractCherkas' method characterizes centers for analytic Liénard differential equations. We extend...
AbstractIn this paper, three criteria which judge the origin of the Liénard system to be a center ar...
We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the ...
Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the exist...
Fix a collection of polynomial vector fields on ▫$RR^3$▫ with a singularity at the origin, for every...
Abstract. We give a proof of existence of centre manifolds within large domains for systems with an ...
We define center manifold as usual as an invariant manifold, tangent to the invariant subspace of th...
In this article, center-manifold theory for homoclinic solutions of ordinary differential equations ...
We study the behaviour of solutions to nonlinear autonomous functional differential equations of mix...
We prove the existence of a smooth center manifold for several partial differential equations, inclu...
We consider the existence of the periodic solutions in the neighbourhood of equilibria for ∞ equivar...
AbstractWe study a nonlinear integral equation for a center manifold of a semilinear nonautonomous d...
We derive a general center manifolds theory for a class of compact invariant sets of flows generated...
In Chapters 1 and 2 we provide the theoretical underpinning of the parameterization method for cente...
International audienceOur purpose is to give a proof of the existence and smoothness of the invaria...
AbstractCherkas' method characterizes centers for analytic Liénard differential equations. We extend...
AbstractIn this paper, three criteria which judge the origin of the Liénard system to be a center ar...
We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the ...
Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the exist...
Fix a collection of polynomial vector fields on ▫$RR^3$▫ with a singularity at the origin, for every...
Abstract. We give a proof of existence of centre manifolds within large domains for systems with an ...
We define center manifold as usual as an invariant manifold, tangent to the invariant subspace of th...
In this article, center-manifold theory for homoclinic solutions of ordinary differential equations ...
We study the behaviour of solutions to nonlinear autonomous functional differential equations of mix...
We prove the existence of a smooth center manifold for several partial differential equations, inclu...
We consider the existence of the periodic solutions in the neighbourhood of equilibria for ∞ equivar...
AbstractWe study a nonlinear integral equation for a center manifold of a semilinear nonautonomous d...
We derive a general center manifolds theory for a class of compact invariant sets of flows generated...
In Chapters 1 and 2 we provide the theoretical underpinning of the parameterization method for cente...
International audienceOur purpose is to give a proof of the existence and smoothness of the invaria...
AbstractCherkas' method characterizes centers for analytic Liénard differential equations. We extend...
AbstractIn this paper, three criteria which judge the origin of the Liénard system to be a center ar...
DOI
Add to ORKG