Poincaré recurrence theorem for non-smooth vector fields
From MaRDI portal
Publication:2359015
DOI10.1007/s00033-017-0783-yzbMath1373.37075OpenAlexW2593918780MaRDI QIDQ2359015
Márcio R. Alves Gouveia, Rodrigo D. Euzébio
Publication date: 27 June 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11449/169596
Dynamical aspects of measure-preserving transformations (37A05) Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Periodic orbits of vector fields and flows (37C27)
Related Items
On the Poincaré-Bendixson formula for planar piecewise smooth vector fields, On the Poincaré-Bendixson index theorem for a class of piecewise linear differential systems
Cites Work
- Unnamed Item
- On the closing lemma for planar piecewise smooth vector fields
- Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
- Coupled systems of non-smooth differential equations
- Generic bifurcations of low codimension of planar Filippov systems
- Roughness of a discontinuous system
- Generic bifurcation in manifolds with boundary
- Structurally stable discontinuous vector fields in the plane.
- On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
- Generic bifurcation of refracted systems
- Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations
- Uniqueness of limit cycles for sewing planar piecewise linear systems
- Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones
- Piecewise-smooth dynamical systems. Theory and applications
- Structural stability of piecewise smooth systems
- Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
- Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows