dorsal/arxiv
View SchemaGeneral exact theory of autoresonance in nonautonomous systems
| Authors | Ricardo Chacon |
|---|---|
| Categories | |
| ArXiv ID | physics/0306139 |
| URL | https://arxiv.org/abs/physics/0306139 |
| DOI | 10.1209/epl/i2004-10465-1 |
| Journal | Europhysics Letters, Vol. 70, No 1, pp. 56-62 (2005) |
Abstract
A general exact theory of autoresonance (self-sustained resonance) in both dissipative and Hamiltonian nonautonomous systems is presented. The equations that together govern the autoresonance solutions and excitations are derived with the aid of a variational principle concerning the power functional. The theory is applied to Duffing oscillators to obtain exact analytical expressions for autoresonance excitations and solutions which explain all the phenomenological and approximate results arising from the previous approach to autoresonance phenomena.
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"abstract": "A general exact theory of autoresonance (self-sustained resonance) in both\ndissipative and Hamiltonian nonautonomous systems is presented. The equations\nthat together govern the autoresonance solutions and excitations are derived\nwith the aid of a variational principle concerning the power functional. The\ntheory is applied to Duffing oscillators to obtain exact analytical expressions\nfor autoresonance excitations and solutions which explain all the\nphenomenological and approximate results arising from the previous approach to\nautoresonance phenomena.",
"arxiv_id": "physics/0306139",
"authors": [
"Ricardo Chacon"
],
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"doi": "10.1209/epl/i2004-10465-1",
"journal_ref": "Europhysics Letters, Vol. 70, No 1, pp. 56-62 (2005)",
"title": "General exact theory of autoresonance in nonautonomous systems",
"url": "https://arxiv.org/abs/physics/0306139"
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