Liénard systems and potential-Hamiltonian decomposition. II: Algorithm

DOI10.1016/j.crma.2006.10.013zbMath1111.37010OpenAlexW1995997043MaRDI QIDQ868973

Jacques Demongeot, Nicolas Glade, Loïc Forest

Publication date: 26 February 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.2006.10.013

zbMATH Keywords

planar vector fieldsbiological systempotential-Hamiltonian decomposition

Mathematics Subject Classification ID

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

Related Items (8)

Liénard systems and potential-Hamiltonian decomposition. III: Applications ⋮ Cyclic negative feedback systems: what is the chance of oscillation? ⋮ Construction of Lyapunov functions using Helmholtz-Hodge decomposition ⋮ Synchrony in reaction–diffusion models of morphogenesis: applications to curvature-dependent proliferation and zero-diffusion front waves ⋮ Dynalets: A New Tool for Biological Signal Processing ⋮ Global regulation of individual decision making ⋮ ZERO-DIFFUSION DOMAINS IN REACTION–DIFFUSION MORPHOGENETIC AND EPIDEMIOLOGIC PROCESSES ⋮ Application of Helmholtz–Hodge decomposition to the study of certain vector fields

Cites Work

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• A note on existence and uniqueness of limit cycles for Liénard systems
• Liénard systems and potential-Hamiltonian decomposition. I: Methodology
• Fixed points and maximal independent sets in AND-OR networks
• On limit cycles of monotone functions with symmetric connection graph
• Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation
• Oscillations in biology. Qualitative analysis and models
• On Chains of Oscillators Forced at One End
• Relative entropies for the Vlasov–Poisson system in bounded domains

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