Random perturbations of parametric autoresonance
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DOI: 10.1007/s11071-017-3625-8
Abstract: We consider a system of two nonlinear differential equations describing the capture into autoresonance in nonlinear oscillators under small parametric driving. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. Stability of… read more here.
Keywords: perturbations parametric; parametric autoresonance; random perturbations; autoresonance ... See more keywords
Regularization of the big bang singularity with random perturbations
Sign Up to like & getrecommendations! Published in 2018 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/aaab3d
Abstract: We show how to regularize the big bang singularity in the presence of random perturbations modeled by Brownian motion using stochastic methods. We prove that the physical variables in a contracting universe dominated by a… read more here.
Keywords: random perturbations; big bang; bang; bang singularity ... See more keywords