Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres
DOI10.1080/14689367.2022.2037519zbMath1504.34073OpenAlexW4210999722WikidataQ114098676 ScholiaQ114098676MaRDI QIDQ5863446
Publication date: 1 June 2022
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2022.2037519
limit cyclesfirst integralscontinuous piecewise linear differential systemsdiscontinuous piecewise differential systemslinear centreslinear Hamiltonian saddles
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Averaging method for ordinary differential equations (34C29) 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)
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Cites Work
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- Piecewise linear perturbations of a linear center
- On the number of limit cycles in general planar piecewise linear systems
- A note on almost disturbance decoupling for nonlinear minimum phase 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
- Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
- Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
- Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields
- Global properties of continuous piecewise linear vector fields. Part II: Simplest symmetric case in ℝ2
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Introduction to the Qualitative Theory of Differential Systems
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