Comment on noise and bifurcations. (English) Zbl 0925.58071
Summary: We calculate in exact form the first correction in a parameter measuring the strength of the noise to the effective potential for one-variable diffusion processes. The use of this potential to study transitions is discussed.
MSC:
| 37G99 | Local and nonlocal bifurcation theory for dynamical systems |
| 82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37J40 | Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion |
| 70L05 | Random vibrations in mechanics of particles and systems |
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