Stabilization of functions and its application.
Stabilization of solutions to a differential-delay equation in a Banach space
A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
Stable closed orbits in plane autonomous dynamical systems.
Steady state in a biological system: global asymptotic stability
A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron , is globally asymptotically stable in . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.
Stejnoměrná stabilita a stejnoměrná asymptotická stabilita množin vzhledem k spojitému toku
Stokes multipliers for subdominant solutions of second order differential equations with polynomial coefficients.
Strategies for computation of Lyapunov exponents estimates from discrete data
The Lyapunov exponents (LE) provide a simple numerical measure of the sensitive dependence of the dynamical system on initial conditions. The positive LE in dissipative systems is often regarded as an indicator of the occurrence of deterministic chaos. However, the values of LE can also help to assess stability of particular solution branches of dynamical systems. The contribution brings a short review of two methods for estimation of the largest LE from discrete data series. Two methods are analysed...
Stratified semiconcave control-Lyapunov functions and the stabilization problem
Structural Evolution of the Taylor Vortices
We classify in this article the structure and its transitions/evolution of the Taylor vortices with perturbations in one of the following categories: a) the Hamiltonian vector fields, b) the divergence-free vector fields, and c). the solutions of the Navier-Stokes equations on the two-dimensional torus. This is part of a project oriented toward to developing a geometric theory of incompressible fluid flows in the physical spaces.
Structural stability and generic properties of planar polynomial vector fields.
Structural stability of classical lattices in one dimension
Structural stability of linear discrete systems via the exponential dichotomy
Structural stability of polynomial second order differential equations with periodic coefficients.
Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.
Su un classico controesempio della teoria della stabilità delle equazioni differenziali
Substitution method for generalized linear differential equations
The generalized linear differential equation where and the matrices are regular, can be transformed using the notion of a logarithimc prolongation along an increasing function. This method enables to derive various results about generalized LDE from the well-known properties of ordinary LDE. As an example, the variational stability of the generalized LDE is investigated.
Subthreshold domain of bistable equilibria for a model of HIV epidemiology.
Sufficient and necessary condition for the permanence of periodic predator-prey system.
Sul problema della biforcazione generalizzata di Hopf per sistemi periodici
Sulla stabilità asintotica ed instabilità