Liénard systems and potential-Hamiltonian decomposition. III: Applications

DOI10.1016/j.crma.2006.11.014zbMath1111.37012OpenAlexW1965226057MaRDI QIDQ869720

Jacques Demongeot, Nicolas Glade, Loïc Forest

Publication date: 8 March 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.11.014

zbMATH Keywords

planar vector fieldbiological systemspotential-Hamiltonian decomposition

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamics induced by flows and semiflows (37C10)

Related Items (7)

Medium Amplitude Limit Cycles of Some Classes of Generalized Liénard Systems ⋮ New criteria for the existence and non-existence of limit cycles in Liénard differential systems ⋮ Two-dimensional isochronous nonstandard Hamiltonian systems ⋮ Hopf bifurcation of limit cycles in discontinuous Liénard systems ⋮ Synchrony in reaction–diffusion models of morphogenesis: applications to curvature-dependent proliferation and zero-diffusion front waves ⋮ Periodic solutions for a kind of Liénard equation with a deviating argument ⋮ ZERO-DIFFUSION DOMAINS IN REACTION–DIFFUSION MORPHOGENETIC AND EPIDEMIOLOGIC PROCESSES

Cites Work

• High-dimensional switches and the modelling of cellular differentiation
• Liénard systems and potential-Hamiltonian decomposition. II: Algorithm
• Liénard systems and potential-Hamiltonian decomposition. I: Methodology
• Topological models in Biology
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