The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere
DOI10.1080/14689367.2018.1535648zbMath1433.34023OpenAlexW2896990536WikidataQ129086611 ScholiaQ129086611MaRDI QIDQ5742438
Ricardo Miranda Martins, Durval José Tonon
Publication date: 14 May 2019
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2018.1535648
structural stabilitybifurcationsnon-wandering setglobal dynamicspiecewise smooth differential equationsordinary differential equation on manifolds
Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Ordinary differential equations and systems on manifolds (34C40)
Cites Work
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- Coupled systems of non-smooth differential equations
- Teixeira singularities in 3D switched feedback control systems
- Generic bifurcations of low codimension of planar Filippov systems
- Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
- Generic bifurcation of sliding vector fields
- Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
- On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
- On a simple case of possible non-deterministic chaotic behavior in compartment theory of biological observables
- Stability conditions for discontinuous vector fields
- Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
- Limit cycles of piecewise smooth differential equations on two dimensional torus
- Piecewise-smooth dynamical systems. Theory and applications
- Structural stability of piecewise smooth systems
- Dynamics of non-ergodic piecewise affine maps of the torus
- Chaotic planar piecewise smooth vector fields with non-trivial minimal sets
- Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
- The Two-Fold Singularity of Discontinuous Vector Fields
- ON PLANAR PIECEWISE AND TWO-TORUS PARABOLIC MAPS
- Discontinuity geometry for an impact oscillator
- One-Parameter Bifurcations in Planar Filippov Systems
- PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY
- Asymptotic behavior of solutions to neutral functional differential equations with infinite delay
