Crossing Periodic Orbits via First Integrals

DOI10.1142/S0218127420501631zbMath1453.34043OpenAlexW3089253439MaRDI QIDQ4971041

Durval José Tonon, Jaume Llibre, Mariana Queiroz Velter

Publication date: 8 October 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501631

zbMATH Keywords

periodic orbitshomoclinic orbitsfirst integralsdiscontinuous piecewise differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals
• Limit cycles for planar piecewise linear differential systems via first integrals.
• \(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\)
• Piecewise-smooth dynamical systems. Theory and applications
• BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS

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