Gradient-particle solutions of Fokker-Planck equations for noisy delay bifurcations

SIAM Journal on Scientific Computing

Volumn 22, Issue 1, 2000, Pages 351-367

  Kuske, R ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Delay bifurcation; FitzHugh Nagumo; Fokker Planck; Particle method; Probability density

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BROWNIAN MOVEMENT; COMPUTER SIMULATION; MATHEMATICAL MODELS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION;

ASYMPTOTIC APPROXIMATIONS; FITZHUGH-NAGUMO MODEL; FOKKER-PLANCK EQUATIONS; GRADIENT PARTICLE METHOD; NOISY DELAY BIFURCATIONS;

BIFURCATION (MATHEMATICS);

EID: 0034456822     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599350332     Document Type: Article

References (18)

1. Limiting exit location distributions in the stochastic exit problem
2. Aperiodic stochastic resonance
3. Threshold for repetitive activity for a slow stimulus ramp: A memory effect and its dependence on fluctuations
4. Chaos and the effect of noise in a model of three-wave mode coupling
5. Slowly passing through resonance strongly depends on noise
6. Probability density functions for noisy delay bifurcations
7. Particle-method solutions of two-dimensional convection-diffusion equations
8. A gradient random walk method for two-dimensional reaction-diffusion equations
9. The slow passage through a steady bifurcation: Delay and memory effects
10. Domain formation in transitions with noise and a time dependent bifurcation parameter
11. Solving the Hodgkin-Huxley equations by a random walk method
12. Numerical study of slightly viscous flow
13. A vortex method for flows with slight density variation
14. A fast algorithm for particle simulations
15. The slow passage through a Hopf bifurcation: Delay, memory effects, and resonance