A Markov chain approximation of switched Fokker-Planck equations for a model of on-off intermittency in the postural control during quiet standing

DOI10.1016/j.cnsns.2023.107488zbMath1529.65086arXiv2109.02427MaRDI QIDQ6058747

Taishin Nomura, Keigo Togame, Yasuyuki Suzuki, Akihiro Nakamura

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02427

zbMATH Keywords

Fokker-Planck equationfinite element analysisMarkov chain approximationstochastic hybrid dynamical system

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Monte Carlo methods (65C05) Feedback control (93B52) Control of mechanical systems (70Q05) Numerical analysis or methods applied to Markov chains (65C40) Ordinary differential equations and systems with randomness (34F05) Biomechanics (92C10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) PDEs with randomness, stochastic partial differential equations (35R60) Methods of ordinary differential equations applied to PDEs (35A24) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84) PDEs on time scales (35R07)

Cites Work

• Balancing with reflex delay.
• Long term correlation and inhomogeneity of the inverted pendulum sway time-series under the intermittent control paradigm
• Modeling human postural sway using an intermittent control and hemodynamic perturbations
• Controlling chaos

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