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

C. Van den Broeck; M. Malek Mansour; F. Baras

doi:10.1007/bf01008324

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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Asymptotic properties of coupled nonlinear langevin equations in the limit of weak noise. II: Transition to a limit cycle

Journal of Statistical Physics ◽

10.1007/bf01008325 ◽

1982 ◽

Vol 28 (3) ◽

pp. 577-587 ◽

Cited By ~ 54

Author(s):

F. Baras ◽

M. Malek Mansour ◽

C. Van den Broeck

Keyword(s):

Limit Cycle ◽

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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Comment on asymptotic properties of coupled Langevin equations

Journal of Statistical Physics ◽

10.1007/bf01021093 ◽

1986 ◽

Vol 45 (3-4) ◽

pp. 745-752 ◽

Cited By ~ 8

Author(s):

F. Baras ◽

P. H. Coullet ◽

E. Tirapegui

Keyword(s):

Asymptotic Properties ◽

Langevin Equations

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

Asymptotic properties of coupled nonlinear langevin equations in the limit of weak noise. II: Transition to a limit cycle

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

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

Comment on asymptotic properties of coupled Langevin equations

Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields

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

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