An investigation of the convergence to the stationary state in the Hassell mapping

Autor(es)

de Mendonca, Hans M. J. ; Leonel, Edson D. ; de Oliveira, Juliano A.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 466, p. 537-543, JAN 15 2017.
• Citações Web of Science: 1

Resumo

We investigate the convergence to the fixed point and near it in a transcritical bifurcation observed in a Hassell mapping. We considered a phenomenological description which was reinforced by a theoretical description. At the bifurcation, we confirm the convergence for the fixed point is characterized by a homogeneous function with three exponents. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law. Although the expression of the mapping is different from the traditional logistic mapping, at the bifurcation and near it, the local dynamics is essentially the same for either mappings. (C) 2016 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Linha de fomento: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/22062-3 - Propriedades de escala e cascatas de bifurcações em mapas unidimensionais discretos
• Beneficiário: Hans Muller Junho de Mendonça
• Linha de fomento: Bolsas no Brasil - Mestrado
• Processo FAPESP: 14/18672-8 - Efeitos de dissipação, transientes e propriedades dinâmicas em mapeamentos discretos
• Beneficiário: Juliano Antonio de Oliveira
• Linha de fomento: Auxílio à Pesquisa - Regular