The extended 16th Hilbert problem for discontinuous piecewise systems formed by linear centers and linear Hamiltonian saddles separated by a nonregular line

DOI10.1142/s0218127423501961zbMATH Open1546.34054MaRDI QIDQ6539037

J. Llibre, Claudià Valls

Publication date: 14 May 2024

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

zbMATH Keywords

limit cyclespiecewise linear differential systemsdiscontinuity nonregular line

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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)

Cites Work

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• Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points
• Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line
• Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres

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