On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles
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Publication:6655157
DOI10.1080/14689367.2024.2391417MaRDI QIDQ6655157
Maria Elisa Anacleto, Claudia Valls, Jaume Llibre, Claudio Vidal
Publication date: 20 December 2024
Published in: Dynamical Systems (Search for Journal in Brave)
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)
Cites Work
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- Maximum number of limit cycles for certain piecewise linear dynamical systems
- Piecewise linear perturbations of a linear center
- On the number of limit cycles in general planar piecewise linear systems
- Piecewise linear differential systems with only centers can create limit cycles?
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Planar systems of piecewise linear differential equations with a line of discontinuity
- Mathematical problems
- Limit cycles created by piecewise linear centers
- Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres
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