Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields

Paul C. Bressloff; Zachary P. Kilpatrick

doi:10.1137/140990371

Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields

SIAM Journal on Applied Dynamical Systems ◽

10.1137/140990371 ◽

2015 ◽

Vol 14 (1) ◽

pp. 305-334 ◽

Cited By ~ 15

Author(s):

Paul C. Bressloff ◽

Zachary P. Kilpatrick

Keyword(s):

Langevin Equations ◽

Neural Fields ◽

Nonlinear Langevin Equations

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Asymptotic properties of coupled nonlinear langevin equations in the limit of weak noise. I: Cusp bifurcation

Journal of Statistical Physics ◽

10.1007/bf01008324 ◽

1982 ◽

Vol 28 (3) ◽

pp. 557-575 ◽

Cited By ~ 34

Author(s):

C. Van den Broeck ◽

M. Malek Mansour ◽

F. Baras

Keyword(s):

Asymptotic Properties ◽

Langevin Equations ◽

Weak Noise ◽

Nonlinear Langevin Equations

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Anomalous diffusion in nonhomogeneous media: Power spectral density of signals generated by time-subordinated nonlinear Langevin equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2015.06.047 ◽

2015 ◽

Vol 438 ◽

pp. 210-222 ◽

Cited By ~ 5

Author(s):

R. Kazakevičius ◽

J. Ruseckas

Keyword(s):

Spectral Density ◽

Power Spectral Density ◽

Anomalous Diffusion ◽

Langevin Equations ◽

Nonhomogeneous Media ◽

Power Spectral ◽

Media Power ◽

Nonlinear Langevin Equations

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Brownian motion theory: Properties of nonlinear Langevin equations

25 Years of Non-Equilibrium Statistical Mechanics - Lecture Notes in Physics ◽

10.1007/3-540-59158-3_34 ◽

2008 ◽

pp. 60-69

Author(s):

P. Mazur

Keyword(s):

Brownian Motion ◽

Langevin Equations ◽

Nonlinear Langevin Equations

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Properties of the random force in coupled nonlinear Langevin equations

Physical Review A ◽

10.1103/physreva.45.8957 ◽

1992 ◽

Vol 45 (12) ◽

pp. 8957-8960 ◽

Cited By ~ 7

Author(s):

P. Mazur

Keyword(s):

Random Force ◽

Langevin Equations ◽

Nonlinear Langevin Equations

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Existence Results for a New Class of Nonlinear Langevin Equations of Fractional Orders

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-019-00692-7 ◽

2019 ◽

Vol 43 (5) ◽

pp. 2335-2342

Author(s):

Yasser Khalili ◽

Milad Yadollahzadeh

Keyword(s):

Existence Results ◽

Langevin Equations ◽

New Class ◽

Fractional Orders ◽

Nonlinear Langevin Equations

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Mode-coupling theory and the fluctuation–dissipation theorem for nonlinear Langevin equations with multiplicative noise

Journal of Physics A General Physics ◽

10.1088/0305-4470/38/20/l03 ◽

2005 ◽

Vol 38 (20) ◽

pp. L343-L355 ◽

Cited By ~ 46

Author(s):

Kunimasa Miyazaki ◽

David R Reichman

Keyword(s):

Mode Coupling ◽

Multiplicative Noise ◽

Langevin Equations ◽

Coupling Theory ◽

Mode Coupling Theory ◽

Fluctuation Dissipation ◽

Fluctuation Dissipation Theorem ◽

Nonlinear Langevin Equations

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Nonlinear Langevin equations with colored noise and their (harmonic) oscillator representations

Physical Review A ◽

10.1103/physreva.28.474 ◽

1983 ◽

Vol 28 (1) ◽

pp. 474-476 ◽

Cited By ~ 5

Author(s):

J. L. van Hemmen ◽

K. Rza̧żewski

Keyword(s):

Harmonic Oscillator ◽

Colored Noise ◽

Langevin Equations ◽

Nonlinear Langevin Equations

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Fluctuation-dissipation relation for nonlinear Langevin equations

Physical Review E ◽

10.1103/physreve.83.041126 ◽

2011 ◽

Vol 83 (4) ◽

Cited By ~ 2

Author(s):

V. Kumaran

Keyword(s):

Langevin Equations ◽

Fluctuation Dissipation ◽

Nonlinear Langevin Equations

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Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions

AIMS Mathematics ◽

10.3934/math.2019.3.626 ◽

2019 ◽

Vol 4 (3) ◽

pp. 626-647 ◽

Cited By ~ 3

Author(s):

Bashir Ahmad ◽

◽

Ahmed Alsaedi ◽

Sotiris K. Ntouyas ◽

Keyword(s):

Fractional Order ◽

Variable Coefficient ◽

Langevin Equations ◽

Nonlinear Langevin Equations

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Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields

Similar solutions for nonlinear Langevin equations with the drift and diffusion coefficients separable in time and space

Asymptotic properties of coupled nonlinear langevin equations in the limit of weak noise. I: Cusp bifurcation

Anomalous diffusion in nonhomogeneous media: Power spectral density of signals generated by time-subordinated nonlinear Langevin equations

Brownian motion theory: Properties of nonlinear Langevin equations

Properties of the random force in coupled nonlinear Langevin equations

Existence Results for a New Class of Nonlinear Langevin Equations of Fractional Orders

Mode-coupling theory and the fluctuation–dissipation theorem for nonlinear Langevin equations with multiplicative noise

Nonlinear Langevin equations with colored noise and their (harmonic) oscillator representations

Fluctuation-dissipation relation for nonlinear Langevin equations

Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions

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