Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply connected set. The conditions are formulated in terms of matrix inequalities involving the variational equation. For systems defined in R2 the conditions are equivalent to Bendixon’s criterion. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is emphasized
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
This note presents a proof that the omega limit set of a solution to a planar system satisfying the ...
A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presente...
Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply c...
Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply c...
Abstract: Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in ...
AbstractFor autonomous differential equations in Rn criteria are developed which preclude the existe...
A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presente...
A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. Th...
Abstract. We give a result on existence of periodic orbits for au-tonomous differential systems with...
The study of the local behavior of nonlinear systems in the neighborhood of a periodic orbit is a cl...
Abstract: A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems i...
AbstractWe give a result on existence of periodic orbits for autonomous differential systems with ar...
AbstractBendixson’s Theorem [H. Ricardo, A Modern Introduction to Differential Equations, Houghton-M...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
This note presents a proof that the omega limit set of a solution to a planar system satisfying the ...
A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presente...
Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply c...
Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in a simply c...
Abstract: Conditions are given that guarantee the nonexistence of periodic orbits lying entirely in ...
AbstractFor autonomous differential equations in Rn criteria are developed which preclude the existe...
A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presente...
A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. Th...
Abstract. We give a result on existence of periodic orbits for au-tonomous differential systems with...
The study of the local behavior of nonlinear systems in the neighborhood of a periodic orbit is a cl...
Abstract: A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems i...
AbstractWe give a result on existence of periodic orbits for autonomous differential systems with ar...
AbstractBendixson’s Theorem [H. Ricardo, A Modern Introduction to Differential Equations, Houghton-M...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
This note presents a proof that the omega limit set of a solution to a planar system satisfying the ...
A condition which ensures the absence of periodic orbits for nonsmooth dynamical systems is presente...