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Title: Domains of analyticity for response solutions in strongly dissipative forced systems

We study the ordinary differential equation εx{sup ¨}+x{sup .}+εg(x)=εf(ωt), where g and f are real-analytic functions, with f quasi-periodic in t with frequency vector ω. If c{sub 0}∈R is such that g(c{sub 0}) equals the average of f and g′(c{sub 0}) ≠ 0, under very mild assumptions on ω there exists a quasi-periodic solution close to c{sub 0} with frequency vector ω. We show that such a solution depends analytically on ε in a domain of the complex plane tangent more than quadratically to the imaginary axis at the origin.
Authors:
 [1] ;  [2] ;  [3]
  1. Dipartimento di Matematica, Università di Napoli “Federico II,” Napoli I-80126 (Italy)
  2. Dipartimento di Matematica, Università di Roma “La Sapienza,” Roma I-00185 (Italy)
  3. Dipartimento di Matematica, Università di Roma Tre, Roma I-00146 (Italy)
Publication Date:
OSTI Identifier:
22251754
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTIC FUNCTIONS; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; PERIODICITY; VECTORS