Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points
Alexander Fernandes da Fonseca, Jaume Llibre, Luis Fernando Mello
Abstract
We study the existence of limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. In this scenario, we have shown that such systems have at most one crossing limit cycle.
Topics & Concepts
Limit cyclePlanarHamiltonian systemPiecewise linear functionMathematicsLimit (mathematics)PiecewiseHamiltonian (control theory)Nonlinear systemMathematical analysisEquilibrium pointStatistical physicsPhysicsMathematical optimizationComputer scienceQuantum mechanicsComputer graphics (images)Differential equationAdvanced Differential Equations and Dynamical Systems