Phase transition for the McKean-Vlasov equation of weakly coupled Hodgkin-Huxley oscillators
DOI10.3934/dcds.2023081zbMath1525.35022OpenAlexW4385559546MaRDI QIDQ6052988
Publication date: 17 October 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2023081
bifurcationphase transitionmean-field limitHodgkin-Huxley neuronsMcKean-Vlasov equationgeneralized modified Bessel functionsphase reduced models
Other hypergeometric functions and integrals in several variables (33C70) Phase transitions (general) in equilibrium statistical mechanics (82B26) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Biological rhythms and synchronization (92B25) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
- Inertial manifolds for a Smoluchowski equation on the unit sphere
- A martingale approach to the law of large numbers for weakly interacting stochastic processes
- The McKean-Vlasov equation in finite volume
- Finite-dimensional description of the long-term dynamics for the 2D Doi-Hess model for liquid crystalline polymers in shear flow
- Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
- Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus
- Exact multiplicity of nematic states for an Onsager model
- Inertial manifolds for a Smoluchowski equation on a circle
- Note on the number of steady states for a two-dimensional Smoluchowski equation
- Dissipativity and Gevrey regularity of a Smoluchowski equation
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