Current Search: Naudot, Vincent (x)
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 Title
 Dynamics of twoactor cooperation–competition conflict models.
 Creator
 Liebovitch, Larry S., Naudot, Vincent, Vallacher, Robin R., Nowak, Andrzej, BuiWrzosinska, Lan, Coleman, Peter T.
 Date Issued
 20081101
 PURL
 http://purl.flvc.org/fau/165475
 Subject Headings
 Nonlinear theories, Social systemsMathematical models, Conflict management, Cooperativeness, Differential equations, Competition, DynamicsMathematical models
 Format
 Document (PDF)
 Title
 Nonlinear Phenomena from a Reinjected Horseshoe.
 Creator
 Fontaine, Marcus, Kalies, William D., Naudot, Vincent, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

A geometric model of a reinjected cuspidal horseshoe is constructed, that resembles the standard horseshoe, but where the set of points that escape are now reinjected and contribute to richer dynamics. We show it is observed in the unfolding of a threedimensional vector field possessing an inclinationflip homoclinic orbit with a resonant hyperbolic equilibrium. We use techniques from classical dynamical systems theory and rigorous computational symbolic dynamics with algebraic topology to...
Show moreA geometric model of a reinjected cuspidal horseshoe is constructed, that resembles the standard horseshoe, but where the set of points that escape are now reinjected and contribute to richer dynamics. We show it is observed in the unfolding of a threedimensional vector field possessing an inclinationflip homoclinic orbit with a resonant hyperbolic equilibrium. We use techniques from classical dynamical systems theory and rigorous computational symbolic dynamics with algebraic topology to show that for suitable parameters the flow contains a strange attractor.
Show less  Date Issued
 2016
 PURL
 http://purl.flvc.org/fau/fd/FA00004591
 Subject Headings
 Nonlinear theories., Computational dynamics., Attractors (Mathematics), Chaotic behavior in systems., Mathematical physics.
 Format
 Document (PDF)
 Title
 Kicks and Maps A different Approach to Modeling Biological Systems.
 Creator
 Ippolito, Stephen Anthony, Naudot, Vincent, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

Modeling a biological systems, is a cyclic process which involves constructing a model from current theory and beliefs and then validating that model against the data. If the data does not match, qualitatively or quantitatively then there may be a problem with either our beliefs or the current theory. At the same time directly finding a model from the existing data would make generalizing results difficult. A considerable difficultly in this process is how to specify the model in the first...
Show moreModeling a biological systems, is a cyclic process which involves constructing a model from current theory and beliefs and then validating that model against the data. If the data does not match, qualitatively or quantitatively then there may be a problem with either our beliefs or the current theory. At the same time directly finding a model from the existing data would make generalizing results difficult. A considerable difficultly in this process is how to specify the model in the first place. There is a need to be practice which accounts for the growing use of mathematical and statistical methods. However, as a systems becomes more complex, standard mathematical approaches may not be sufficient. In the field of ecology, the standard techniques involve discrete maps, and continuous models such as ODE's. The intent of this work is to present the mathematics necessary to study hybrids of these two models, then consider two case studies. In first case we con sider a coral reef with continuous change, except in the presence of hurricanes. The results of the data are compared quantitatively and qualitatively with simulation results. For the second case we consider a model for rabies with a periodic birth pulse. Here the analysis is qualitative as we demonstrate the existence of a strange attractor by looking at the intersections of the stable and unstable manifold for the saddle point generating the attractor. For both cases studies the introduction of a discrete event into a continuous system is done via a Dirac Distribution or Measure.
Show less  Date Issued
 2015
 PURL
 http://purl.flvc.org/fau/fd/FA00004508, http://purl.flvc.org/fau/fd/FA00004508
 Subject Headings
 Artificial intellligence  Biological applications, Biology  Mathematical models, Computational intelligence, Differential dynamical systems, Nonliner mechanics  Mathematical models
 Format
 Document (PDF)