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Advisor(s)
Abstract(s)
Many data have been useful to describe the growth of marine mammals, invertebrates and reptiles, seabirds, sea turtles and fishes, using the logistic, the Gom-pertz and von Bertalanffy's growth models. A generalized family of von Bertalanffy's maps, which is proportional to the right hand side of von Bertalanffy's growth equation, is studied and its dynamical approach is proposed. The system complexity is measured using Lyapunov exponents, which depend on two biological parameters: von Bertalanffy's growth rate constant and the asymptotic weight.
Applications of synchronization in real world is of current interest. The behavior of birds ocks, schools of fish and other animals is an important phenomenon characterized by synchronized motion of individuals. In this work, we consider networks having in each node a von Bertalanffy's model and we study the synchronization interval of these networks, as a function of those two biological parameters. Numerical simulation are also presented to support our approaches.
Description
Keywords
Von Bertalanffy's models Synchronization Lyapunov exponents
Citation
ROCHA, J. Leonel; ALEIXO, Sandra M.; CANECO, Acilina – Synchronization in Von Bertalanffy’s models. Chaotic Modeling and Simulation, (CMSIM) International Journal of Nonlinear Science. ISSN 2241-0503. Nr. 4 (2013), pp. 519-528
Publisher
CMSIM, International Journal of Nonlinear Science