Path-integral evolution of chaos embedded in noise: Duffing neocortical analog

DOI10.1016/0895-7177(95)00232-4zbMath0838.92008arXivnlin/0001047OpenAlexW2087220048MaRDI QIDQ1910781

Yanyan Li

Publication date: 2 June 1996

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0001047

zbMATH Keywords

chaosDuffing equationnon-Monte-Carlo path-integral algorithmnonlinear Fokker-Planck systemsEEG datamacroscopic neocortexPATHINTtwo-dimensional time-dependent Duffing oscillator model

Mathematics Subject Classification ID

Neural biology (92C20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Stochastic analysis (60H99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (4)

Neocortical dynamics at multiple scales: EEG standing waves, statistical mechanics, and physical analogs ⋮ Data mining and knowledge discovery via statistical mechanics in nonlinear stochastic systems ⋮ Statistical mechanics of neocortical interactions: training and testing canonical momenta indicators of EEG ⋮ Statistical mechanics of financial markets: exponential modifications to Black-Scholes.

Cites Work

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• Multiple scales of statistical physics of the neocortex: Application to electroencephalography
• Application of statistical mechanics methodology to term-structure bond- pricing models
• A theoretical model of phase transitions in the human brain
• Statistical mechanics of nonlinear nonequilibrium financial markets: Applications to optimized trading
• PHASE TRANSITIONS IN THE HUMAN BRAIN: SPATIAL MODE DYNAMICS

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