[HTML][HTML] Conceptual foundations of physiological regulation incorporating the free energy principle and self-organized criticality
JS Bettinger, KJ Friston - Neuroscience & Biobehavioral Reviews, 2023 - Elsevier
Abstract Bettinger, JS, KJ Friston. Conceptual Foundations of Physiological Regulation
incorporating the Free Energy Principle & Self-Organized Criticality. NEUROSCI BIOBEHAV …
incorporating the Free Energy Principle & Self-Organized Criticality. NEUROSCI BIOBEHAV …
A universal description of stochastic oscillators
A Pérez-Cervera, B Gutkin… - Proceedings of the …, 2023 - National Acad Sciences
Many systems in physics, chemistry, and biology exhibit oscillations with a pronounced
random component. Such stochastic oscillations can emerge via different mechanisms, for …
random component. Such stochastic oscillations can emerge via different mechanisms, for …
Stochastic hybrid systems in cellular neuroscience
PC Bressloff, JN Maclaurin - The Journal of Mathematical Neuroscience, 2018 - Springer
We review recent work on the theory and applications of stochastic hybrid systems in cellular
neuroscience. A stochastic hybrid system or piecewise deterministic Markov process …
neuroscience. A stochastic hybrid system or piecewise deterministic Markov process …
Noise induced suppression of spiral waves in a hybrid FitzHugh–Nagumo neuron with discontinuous resetting
A modified FitzHugh–Nagumo neuron model with sigmoid function-based recovery variable
is considered with electromagnetic flux coupling. The dynamical properties of the proposed …
is considered with electromagnetic flux coupling. The dynamical properties of the proposed …
Wave propagation in a network of extended Morris–Lecar neurons with electromagnetic induction and its local kinetics
K Rajagopal, I Moroz, A Karthikeyan, P Duraisamy - Nonlinear Dynamics, 2020 - Springer
Abstract An extended Morris–Lecar neuron model incorporating electromagnetic flux
coupling and external excitation is proposed. The complete dynamical behavior of the new …
coupling and external excitation is proposed. The complete dynamical behavior of the new …
Isostables for stochastic oscillators
Thomas and Lindner [PJ Thomas and B. Lindner, Phys. Rev. Lett. 113, 254101 (2014).
PRLTAO 0031-9007 10.1103/PhysRevLett. 113.254101], defined an asymptotic phase for …
PRLTAO 0031-9007 10.1103/PhysRevLett. 113.254101], defined an asymptotic phase for …
Low cost digital implementation of hybrid FitzHugh Nagumo–Morris lecar neuron model considering electromagnetic flux coupling
S Majidifar, M Hayati, MR Malekshahi… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Digital realization of neuron models, especially implementation on a field programmable
gate array (FPGA), is one of the key objectives of neuromorphic research, because the …
gate array (FPGA), is one of the key objectives of neuromorphic research, because the …
Phase descriptions of a multidimensional Ornstein-Uhlenbeck process
Stochastic oscillators play a prominent role in different fields of science. Their simplified
description in terms of a phase has been advocated by different authors using distinct phase …
description in terms of a phase has been advocated by different authors using distinct phase …
A variational method for analyzing stochastic limit cycle oscillators
PC Bressloff, JN MacLaurin - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
We introduce a variational method for analyzing limit cycle oscillators in R^d driven by
Gaussian noise. This allows us to derive exact stochastic differential equations for the …
Gaussian noise. This allows us to derive exact stochastic differential equations for the …
A random dynamical systems perspective on isochronicity for stochastic oscillations
For an attracting periodic orbit (limit cycle) of a deterministic dynamical system, one defines
the isochron for each point of the orbit as the cross-section with fixed return time under the …
the isochron for each point of the orbit as the cross-section with fixed return time under the …