A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions

DOI10.1137/140998615zbMath1372.65331OpenAlexW2511636220MaRDI QIDQ2819089

Miles Detrixhe, Marion Doubeck, Frédéric Gibou, Jeff Moehlis

Publication date: 28 September 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0084a53dfb8427242c795b5429e3e7282b9065d8

zbMATH Keywords

Hamilton-Jacobi equationperiodic orbitHodgkin-Huxley equationsisochronsdesynchronizationneuron modelsmixed mode oscillation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Periodic orbits of vector fields and flows (37C27) Numerical nonlinear stabilities in dynamical systems (65P40) Hamilton-Jacobi equations (35F21)

Related Items (7)

Greater accuracy and broadened applicability of phase reduction using isostable coordinates ⋮ A stabilised finite element framework for viscoelastic multiphase flows using a conservative level-set method ⋮ A review of level-set methods and some recent applications ⋮ Global phase-amplitude description of oscillatory dynamics via the parameterization method ⋮ Phase reduction and phase-based optimal control for biological systems: a tutorial ⋮ Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators ⋮ An Easily Implemented, Block-Based Fast Marching Method with Superior Sequential and Parallel Performance

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