Abstract
Properties of dynamical behavior of nonlinear systems exhibiting chaos are investigated, under small random perturbations. Chaotic properties of deterministic systems modeled by a one-dimensional mapping are analyzed when the system is perturbed by a multiplicative and an additive noise. Stochastic versions of invariant measure and Lyapunov exponent are calculated and are comparatively discussed with deterministic ones, from the viewpoint of conservation of chaotic properties under small random perturbations. Finally, a different type of stochastic systems is shown to be equivalent to a deterministic system with chaotic behavior in some stochastic sense.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
