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3]\D) is a trajectory of a potential dynamical system with three degrees of freedom associated to the potential -f in int([R.
Mathematical models of general dynamical systems have proved to be essential for the local and global study of numerous phenomena not only in biology but also in physics, astronomy, economics, etc.
1] the sensitive dependence of the dynamical system on initial conditions in the sense of Guckenhaimer appears immediately from its transitivity and density of the set of its periodic points.
It is clear that globally exponentially stability is necessarily globally asymptotically stable and the dynamical system converges arbitrarily fast.
Hence, instead of having a single basin of attraction, this dynamical system has three thoroughly intermingled basins.
has constructed a mathematical scheme corresponding to dynamical systems that are, in a sense, more unpredictable than chaotic systems.
Bak and other researchers have developed a number of simple computer models to test the applicability of this concept to a variety of complex, interactive dynamical systems.
of Oxford) investigate a continuous time, probability measure-valued dynamical system that describes the process of mutation-selection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions of selective costs.
The approach in this project relies strongly on novel dynamical systems methods for systems with multiple time scale dynamics, known as geometric singular perturbation theory (GSPT).
The Fields winners were selected for their contributions to topics ranging from dynamical systems to the geometry of numbers and the solution of equations of the type that describe many physical phenomena.
Several chapters then cover dynamical systems theory, bifurcation theory, statistics, regression analysis, and Fourier transforms.
We would like to thank Professor Martin Bohner, Editor in Chief of Advances in Dynamical Systems and Applications, for accepting our offer to form this special volume.

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