Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers
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Publication:6044474
DOI10.1007/s40590-023-00501-7zbMath1528.34030MaRDI QIDQ6044474
Maria Elisa Anacleto, Jaume Llibre, Claudio Vidal, Claudia Valls
Publication date: 19 May 2023
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) 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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- 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?
- Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center
- 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
