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Poincaré recurrence theorem for non-smooth vector fields
(2017-04-01)
In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré ...
THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS
(AMER INST MATHEMATICAL SCIENCES, 2009)
We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent ...
Poincare Recurrence Theorem For Non-smooth Vector Fields
(Springer Basel AGBasel, 2017)
Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
(Springer, 1987)
Time Recurrence Analysis of a Near Singular Billiard
(Mdpi, 2019-06-01)
Billiards exhibit rich dynamical behavior, typical of Hamiltonian systems. In the present study, we investigate the classical dynamics of particles in the eccentric annular billiard, which has a mixed phase space, in the ...
Slow Rates of Mixing for Dynamical Systems with Hyperbolic Structures
(2008)
We consider invertible discrete-time dynamical systems having a hyperbolic
product structure in some region of the phase space with infinitely many branches and variable return time. We show that the decay of correlations ...
A generalization of poincares theorem for recurrence systems
(GORDON AND BREACH SCIENCE PUBLISHERS, 2006)