Cones of rank 2 and the Poincaré-Bendixson property for a new class of monotone systems

DOI10.1016/j.jde.2008.10.015zbMath1171.34025OpenAlexW2018972907MaRDI QIDQ1007265

Luis Angel Sanchez

Publication date: 20 March 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.015

zbMATH Keywords

monotone systemscones of rank 2Poincaré-Bendixson property

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamics induced by flows and semiflows (37C10) Monotone systems involving ordinary differential equations (34C12)

Related Items (13)

Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity ⋮ Monotonicity on homogeneous spaces ⋮ A generalization of linear positive systems with applications to nonlinear systems: invariant sets and the Poincaré-Bendixson property ⋮ Positivity, Monotonicity, and Consensus on Lie Groups ⋮ Generic Poincaré-Bendixson theorem for singularly perturbed monotone systems with respect to cones of rank-2 ⋮ Compound matrices in systems and control theory: a tutorial ⋮ The Poincaré-Bendixson theorem: from Poincaré to the XXIst century ⋮ On limit measures and their supports for stochastic ordinary differential equations ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Analysis of Lur'e dominant systems in the frequency domain ⋮ Monotone dynamical systems: reflections on new advances \& applications ⋮ Limit cycles for regularized piecewise smooth systems with a switching manifold of codimension two ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two

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