The magnetic geodesic flow in a homogeneous field on the complex projective space.
The -centre problem of celestial mechanics for large energies
We consider the classical three-dimensional motion in a potential which is the sum of attracting or repelling Coulombic potentials. Assuming a non-collinear configuration of the centres, we find a universal behaviour for all energies above a positive threshold. Whereas for there are no bounded orbits, and for there is just one closed orbit, for the bounded orbits form a Cantor set. We analyze the symbolic dynamics and estimate Hausdorff dimension and topological entropy of this hyperbolic set....
The new science of complexity.
The power-law formalism as a tool for modeling hormonal systems.
The reduction of symplectic structure and Sternberg construction
The role of delay in digestion of plankton by fish population: A fishery model.
The role of the incubation period in a disease model.
The stability of Nash-Cournot equilibria in labor managed oligopolies.
The steepest descent dynamical system with control. Applications to constrained minimization
Let be a real Hilbert space, a convex function of class that we wish to minimize under the convex constraint . A classical approach consists in following the trajectories of the generalized steepest descent system (cf. Brézis [5]) applied to the non-smooth function . Following Antipin [1], it is also possible to use a continuous gradient-projection system. We propose here an alternative method as follows: given a smooth convex function whose critical points coincide with and a control...
The steepest descent dynamical system with control. Applications to constrained minimization
Let H be a real Hilbert space, a convex function of class that we wish to minimize under the convex constraint S. A classical approach consists in following the trajectories of the generalized steepest descent system (cf. Brézis [CITE]) applied to the non-smooth function . Following Antipin [1], it is also possible to use a continuous gradient-projection system. We propose here an alternative method as follows: given a smooth convex function whose critical points coincide with S and...
The study of the chaotic behavior in retailer's demand model.
The uniform attractors for the nonhomogeneous 2D Navier-Stokes equations in some unbounded domain.
Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems.
Theory of adaptive adjustment.
Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems.
Time in dynamical systems.
Time to the convergence of evolution in the space of population states
Phenotypic evolution of two-element populations with proportional selection and normally distributed mutation is considered. Trajectories of the expected location of the population in the space of population states are investigated. The expected location of the population generates a discrete dynamical system. The study of its fixed points, their stability and time to convergence is presented. Fixed points are located in the vicinity of optima and saddles. For large values of the standard deviation...
Topological entropy of Cournot-Puu duopoly.
Towards a theory of mind.
Toy quantum mechanics using hidden variables.