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Effect of colored noise on heteroclinic orbits
- Source :
- Physical Review E, Physical Review E, American Physical Society (APS), 2019, 99 (3), ⟨10.1103/PhysRevE.99.032224⟩
- Publication Year :
- 2019
- Publisher :
- HAL CCSD, 2019.
-
Abstract
- The dynamics of a weakly dissipative Hamiltonian system submitted to stochastic perturbations has been investigated by means of asymptotic methods. The probability of noise-induced separatrix crossing, which drastically changes the fate of the system, is derived analytically in the case where noise is an additive Kubo-Anderson process. This theory shows how the geometry of the separatrix, as well as the noise intensity and correlation time, affect the statistics of crossing. Results can be applied to a wide variety of systems, and are valid in the limit where the noise correlation time scale is much smaller than the time scale of the undisturbed Hamiltonian dynamics.
- Subjects :
- Hamiltonian mechanics
Physics
[PHYS]Physics [physics]
Scale (ratio)
Dynamics (mechanics)
Classical Physics (physics.class-ph)
FOS: Physical sciences
Physics - Classical Physics
01 natural sciences
010305 fluids & plasmas
Hamiltonian system
symbols.namesake
Colors of noise
0103 physical sciences
symbols
Dissipative system
Limit (mathematics)
Statistical physics
010306 general physics
Noise (radio)
ComputingMilieux_MISCELLANEOUS
Subjects
Details
- Language :
- English
- ISSN :
- 24700045 and 24700053
- Database :
- OpenAIRE
- Journal :
- Physical Review E, Physical Review E, American Physical Society (APS), 2019, 99 (3), ⟨10.1103/PhysRevE.99.032224⟩
- Accession number :
- edsair.doi.dedup.....88197685ffc79025f3f42fb34454c025