Growth and performance of the periodic orbits of a nonlinear driven oscillator

Autor(es)

de Lima, D. R. ^[1] ; Caldas, I. L. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Sao Paulo - Brazil

^[2] Univ Sao Paulo, Inst Phys, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CHAOS SOLITONS & FRACTALS; v. 150, SEP 2021.
• Citações Web of Science: 0

Resumo

Periodic orbits are fundamental to nonlinear systems. We investigate periodic orbits for a dissipative mapping, derived from a prototype model of a non-linear driven oscillator with fast relaxation and a limit cycle. We show numerically the exponential growth of periodic orbits quantity and provide an analytical bound for such growth rate, by making use of the transition matrix associated with a given periodic or-bit. Furthermore, we give numerical evidence to support that optimal orbits, those that maximize time averages, are often unstable periodic orbits with low period, by numerically comparing their performance under a family of sinusoidal functions. (C) 2021 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 18/03211-6 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático