Abstract
We study noise influence on universal properties of period-doubling cascade in a well-defined model of periodically kicked nonlinear dissipative oscillator. Two approaches of noise adding are considered: (i) modulation of kick's amplitude and (ii) modulation of the interval between kicks. We then derive corresponding stochastic discrete one- and two-dimensional maps and provide a detailed study of the noise scaling properties of the Feigenbaum scenario and of the non-Feigenbaum tricritical case. Illustrations of bifurcations trees and Lyapunov exponent charts are given.
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.
