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Threshold values of autoresonant pumping

Mathematical Physics 2013-03-20 v1 Dynamical Systems math.MP Adaptation and Self-Organizing Systems

Abstract

There exists stable growing solution of primary resonant equation for a autoresonant pumping with decreasing amplitude. The primary term of asymptotics is O(t)O(\sqrt{t}) and does not depend on order of the force from some interval. We point to the interval for the amplitude of the pumping for which the growing stable solution exists.

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Cite

@article{arxiv.1303.4691,
  title  = {Threshold values of autoresonant pumping},
  author = {O. M. Kiselev},
  journal= {arXiv preprint arXiv:1303.4691},
  year   = {2013}
}

Comments

5 pages in Russian

R2 v1 2026-06-21T23:44:37.086Z