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Scaling laws and critical exponents in Smith and Slatkin model

Grant number: 17/17294-8
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2017
Effective date (End): October 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal Investigator:Juliano Antonio de Oliveira
Grantee:Larissa Cristina Nascimento Ramos
Host Institution: Universidade Estadual Paulista (UNESP). Campus Experimental São João da Boa Vista. São João da Boa Vista , SP, Brazil


In this project we will consider the Smith and Slatkin map that belongs to a set of discrete one-dimensional maps that describe the dynamics of biological populations. What we propose in this project is to construct the bifurcation diagram to analyze the dynamic system. We intend to study the convergence of orbits to the fixed points near the bifurcation of period 1 described by a generalized homogeneous function. We also hope to investigate the convergence of orbits near the period doubling bifurcations. We propose to explore the sensitivity of the system to the initial conditions in the study of the Lyapunov exponents. This work proposal is to continue the project entitled "Dissipation effects, transients and dynamic properties in Discrete mapping", approved by FAPESP in the process 2014/18672-8. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DE OLIVEIRA, JULIANO A.; RAMOS, LARISSA C. N.; LEONEL, EDSON D.. Dynamics towards the steady state applied for the Smith-Slatkin mapping. CHAOS SOLITONS & FRACTALS, v. 108, p. 119-122, . (17/14414-2, 17/17294-8, 14/18672-8)

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