Liénard systems and potential-Hamiltonian decomposition. I: Methodology
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Publication:869453
DOI10.1016/j.crma.2006.10.016zbMath1111.37011OpenAlexW2007805301MaRDI QIDQ869453
Nicolas Glade, Jacques Demongeot, Loïc Forest
Publication date: 2 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.2006.10.016
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10)
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Cites Work
- Unnamed Item
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- Unnamed Item
- High-dimensional switches and the modelling of cellular differentiation
- Décomposition de Hodge basique pour les feuilletages riemanniens
- Nonlinear Hodge theory on manifolds with boundary
- Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
- Analysis of Oscillations in a Reciprocally Inhibitory Network with Synaptic Depression
- Numerical simulation of incompressible viscous flow in deforming domains
- THE STATIONARY INSTABILITY IN QUASI-REVERSIBLE SYSTEMS AND THE LORENZ PENDULUM
- Fluctuations dans la lutte pour la vie, leurs lois fondamentales et de réciprocité
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