Effects of a parametric perturbation in the Hassell mapping

Juliano A. de Oliveira, Hans M.J. de Mendonça, Diogo R. da Costa and Edson D. Leonel

Chaos, Solitons & Fractals, 2018, vol. 113, issue C, 238-243

Abstract: The convergence to the fixed point near at a transcritical bifurcation and the organization of the extreming curves for a parametric perturbed Hassell mapping are investigated. The evolution of the orbits towards the fixed point at the transcritical bifurcation is described using a phenomenological approach with the support of scaling hypotheses and homogeneous function hence leading to a scaling law related with three critical exponents. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law. The extreming curves in the parameter space dictates the organization for the windows of periodicity, consequently demonstrating how the set of shrimp-like structures are organized.

Keywords: Perturbed Hassell mapping; Convergence to the stationary state; Extreming curves; Parameter space (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:113:y:2018:i:c:p:238-243

DOI: 10.1016/j.chaos.2018.06.017

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