Stochastic perturbation of a cubic anharmonic oscillator
DOI10.3934/dcdsb.2021148zbMath1490.60140arXiv1907.10875OpenAlexW3161286446MaRDI QIDQ2125191
Enrico Bernardi, Alberto Lanconelli
Publication date: 13 April 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.10875
stochastic differential equationsJacobi elliptic functionsLamé's equationcubic anharmonic oscillatorsmall noise expansions
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
- On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness
- On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
- Stochastic oscillators
- The Cauchy problem for differential equations with double characteristics
- Estimates uniform in time for the transition probability of diffusions with small drift and for stochastically perturbed Newton equations
- A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators
- Spectral analysis of the complex cubic oscillator
- Global solution of the cubic oscillator
- Stochastic non-linear oscillators
- Hamiltonian systems with a stochastic force:nonlinear versus linear, and a girsanov formula
- Stabilization and Destabilization of Nonlinear Differential Equations by Noise
- FOUR REMARKS ON EIGENVALUES OF LAMÉ'S EQUATION
- Applied Stochastic Analysis
This page was built for publication: Stochastic perturbation of a cubic anharmonic oscillator
