Upper semicontinuity of random attractors for non-compact random dynamical systems.
Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems.
Useful properties of index pairs for upper semicontinuous multivalued dynamical systems.
Using chaos synchronization to estimate the largest Lyapunov exponent of nonsmooth systems.
Using density matrices in classical dynamical systems
Using normal mode analysis in teaching mathematical modeling to biology students
Linear oscillators are used for modeling a diverse array of natural systems, for instance acoustics, materials science, and chemical spectroscopy. In this paper I describe simple models of structural interactions in biological molecules, known as elastic network models, as a useful topic for undergraduate biology instruction in mathematical modeling. These models use coupled linear oscillators to model the fluctuations of molecular structures around the equilibrium state. I present many learning...
Vaccination strategies of population groups with distinct perceived probabilities of infection.
Vacuum curves and classical integrable systems in discrete dimensions
Vacuum energy as spectral geometry.
Van der Corput sets in
In this partly expository paper we study van der Corput sets in , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical systems. We prove multidimensional versions of some classical results obtained for d = 1 by Kamae and M. Mendès France and by Ruzsa, establish new characterizations, introduce and discuss some modifications of van der Corput sets which correspond to various notions of recurrence, provide numerous examples and formulate some...
Variation of periods modulo in arithmetic dynamics.
Variational and penalization methods for studying connecting orbits of Hamiltonian systems.
Variational approach to dynamics of bright solitons in lossy optical fibers.
Variational calculus on sub-Riemannian manifolds.
Variational characterization of equations of motion in bundles of embeddings.
In this paper we study variational principles for a general situation which includes free boundary problems with surface tension. Following [2], our main result concerns a variational principle in a infinite dimensional principal bundle of embeddings of a compact region D in a manifold M having the same dimension as D. By considering arbitrary variations, free boundary problems are included, while variations parallel to the boundary permit to consider fluid motion or flow of Hamiltonian vector fields...
Variational construction of connecting orbits
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium
We consider autonomous Lagrangian systems possessing two homoclinic orbits to an hyperbolic equilibrium of saddle-saddle type with two different characteristic exponents. Under a nondegeneracy assumption on the homoclinics and under suitable conditions on the geometric behaviour of these homoclinics near the equilibrium we show, by variational methods, that they give rise to an infinite family of multibump homoclinic solutions. We relax the nondegeneracy assumption when the two characteristic exponents...
Variations sur les flots riemanniens
Variétés abéliennes réelles et toupie de Kowalevski