[图书][B] Multiple time scale dynamics
C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
Conditional Gaussian systems for multiscale nonlinear stochastic systems: Prediction, state estimation and uncertainty quantification
N Chen, AJ Majda - Entropy, 2018 - mdpi.com
A conditional Gaussian framework for understanding and predicting complex multiscale
nonlinear stochastic systems is developed. Despite the conditional Gaussianity, such …
nonlinear stochastic systems is developed. Despite the conditional Gaussianity, such …
On the complex dynamics of savanna landscapes
JD Touboul, AC Staver… - Proceedings of the …, 2018 - National Acad Sciences
Simple mathematical models can exhibit rich and complex behaviors. Prototypical examples
of these drawn from biology and other disciplines have provided insights that extend well …
of these drawn from biology and other disciplines have provided insights that extend well …
Self-induced-stochastic-resonance breathing chimeras
J Zhu, ME Yamakou - Physical Review E, 2023 - APS
The study by Semenova et al.[Phys. Rev. Lett. 117, 014102 (2016) 0031-9007
10.1103/PhysRevLett. 117.014102] discovered a type of chimera state known as coherence …
10.1103/PhysRevLett. 117.014102] discovered a type of chimera state known as coherence …
Control of coherence resonance by self-induced stochastic resonance in a multiplex neural network
ME Yamakou, J Jost - Physical Review E, 2019 - APS
We consider a two-layer multiplex network of diffusively coupled FitzHugh-Nagumo (FHN)
neurons in the excitable regime. We show that the phenomenon of coherence resonance …
neurons in the excitable regime. We show that the phenomenon of coherence resonance …
Lévy noise-induced coherence resonance: Numerical study versus experiment
Abstract Using the FitzHugh–Nagumo system in the excitable regime, we investigate the
influence of the Lévy noise properties on the effect of coherence resonance. In particular, we …
influence of the Lévy noise properties on the effect of coherence resonance. In particular, we …
Genesis of chimera patterns through self-induced stochastic resonance
T Khatun, T Banerjee - Chaos, Solitons & Fractals, 2023 - Elsevier
Noise induced order in excitable systems has diverse manifestations, such as coherence
resonance (CR) and stochastic resonance. In this context a less explored phenomenon is …
resonance (CR) and stochastic resonance. In this context a less explored phenomenon is …
From intracellular signaling to population oscillations: bridging size‐and time‐scales in collective behavior
Collective behavior in cellular populations is coordinated by biochemical signaling networks
within individual cells. Connecting the dynamics of these intracellular networks to the …
within individual cells. Connecting the dynamics of these intracellular networks to the …
Finding the quasipotential for nongradient SDEs
MK Cameron - Physica D: Nonlinear Phenomena, 2012 - Elsevier
The quasipotential with respect to a given attractor of a system, evolving according to a
stochastic differential equation (SDE) with a small noise, is a function that allows us to find …
stochastic differential equation (SDE) with a small noise, is a function that allows us to find …
Beating the curse of dimension with accurate statistics for the Fokker–Planck equation in complex turbulent systems
N Chen, AJ Majda - … of the National Academy of Sciences, 2017 - National Acad Sciences
Solving the Fokker–Planck equation for high-dimensional complex dynamical systems is an
important issue. Recently, the authors developed efficient statistically accurate algorithms for …
important issue. Recently, the authors developed efficient statistically accurate algorithms for …