Random perturbations of parametric autoresonance
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
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
Autoresonance in weakly dissipative Klein–Gordon chains
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.132284
Abstract: Abstract The problem of response enhancement (autoresonance) in a weakly dissipative Klein–Gordon chain subjected to harmonic forcing with a slowly-varying frequency may be of interest for both a fundamental standpoint as well as practical applications,… read more here.
Keywords: weakly dissipative; dissipative klein; autoresonance weakly; autoresonance ... See more keywords
Energy-based theory of autoresonance in chains of coupled damped-driven generic oscillators.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.044203
Abstract: An energy-based theory of autoresonance in driven dissipative chains of coupled generic oscillators is discussed on the basis of a variational principle concerning the energy functional. The theory is applied to chains of delayed Duffing-Ueda… read more here.
Keywords: theory autoresonance; based theory; energy; energy based ... See more keywords