Abstract

Simple bifurcation in the presence of noise is investigated and some results are presented. The effect of additive noise on gradient systems is examined by using Laplace's method of steepest descent. Reduced governing equations for multidimensional systems which exhibit simple bifurcation are obtained with the stochastic normal forms method and are applied to the stochastic Lorenz equations. The resulting equations are similar to those obtained by extended averaging. First passage time and stationary densities are also obtained and numerical examples are presented.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.