On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems
DOI10.21136/mb.2022.0181-21OpenAlexW4311997465MaRDI QIDQ6178049
Publication date: 18 January 2024
Published in: Mathematica Bohemica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/mb.2022.0181-21
linear systemfirst integralquadratic centernon-algebraic limit cyclediscontinuous piecewise differential systemcontinuous piecewise differential system
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
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- Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters
- Limit cycles bifurcate from centers of discontinuous quadratic systems
- On the number of limit cycles in general planar piecewise linear systems of node-node types
- Two limit cycles for a class of discontinuous piecewise linear differential systems with two pieces
- Piecewise linear differential systems with two real saddles
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- Limit cycles for discontinuous quadratic differential 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
- Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
- Global properties of continuous piecewise linear vector fields. Part II: Simplest symmetric case in ℝ2
- Mathematical problems
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Canonical Discontinuous Planar Piecewise Linear Systems
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