Limit cycles of piecewise smooth differential equations on two dimensional torus

DOI10.1007/s10884-017-9584-4zbMath1410.34095OpenAlexW2602635786MaRDI QIDQ1994000

Jaume Llibre, Ricardo Miranda Martins, Durval José Tonon

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221390

zbMATH Keywords

limit cyclespiecewise smooth differential equationsglobal dynamics on torus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Ordinary differential equations and systems on manifolds (34C40)

Related Items (2)

The chaotic behaviour of piecewise smooth differential equations on two-dimensional torus and sphere ⋮ On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on \(\mathbb{R}^3\)

Cites Work

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• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
• Piecewise-smooth dynamical systems. Theory and applications
• On extended Chebyshev systems with positive accuracy
• Dynamics of non-ergodic piecewise affine maps of the torus
• ON PLANAR PIECEWISE AND TWO-TORUS PARABOLIC MAPS

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