System of nonlinear oscillators with dissipation. Initial interval of autoresonance
S. Glebov, N. Tarkhanov
TL;DR
This paper studies how dissipation affects the autoresonant threshold in a system of nonlinear oscillators, providing asymptotic formulas and numerical simulations for initial autoresonance conditions.
Contribution
It introduces exact asymptotic formulas and numerical analysis for the autoresonance threshold considering dissipation effects in nonlinear oscillators.
Findings
Dissipation influences the autoresonant threshold.
Asymptotic formulas accurately describe the threshold.
Numerical simulations support theoretical results.
Abstract
We investigate an influence of dissipation on autoresonant threshold for a system of nonlinear oscillators. Exact asymptotic formulas and numerical simulations are presented. These results correspond to an initial interval of autoresonance.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation · Quantum optics and atomic interactions