Autoresonant germ in dissipative system
Oleg Kiselev, Sergei Glebov
TL;DR
This paper investigates the early development of autoresonant solutions in dissipative systems, deriving an asymptotic formula for the autoresonant germ, identifying key amplitude features, and validating findings through numerical simulations.
Contribution
It introduces a new asymptotic formula for the autoresonant germ in dissipative systems, highlighting its role as an attractor and analyzing its amplitude characteristics.
Findings
Derived an asymptotic formula for the autoresonant germ.
Identified the maximum amplitude and fall point of the germ.
Validated theoretical results with numerical simulations.
Abstract
We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoresonant solutions. We present a moment of a fall and a maximum value of the amplitude for the germ. Numerical simulations are done.
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Taxonomy
Topicsthermodynamics and calorimetric analyses