Bifurcation of periodic solutions to differential inequalities in
Bifurcation of periodic solutions to variational inequalities in based on Alexander-Yorke theorem
Variational inequalities are studied, where is a closed convex cone in , , is a matrix, is a small perturbation, a real parameter. The assumptions guaranteeing a Hopf bifurcation at some for the corresponding equation are considered and it is proved that then, in some situations, also a bifurcation of periodic solutions to our inequality occurs at some . Bifurcating solutions are obtained by the limiting process along branches of solutions to penalty problems starting at constructed...
Bifurcations élémentaires et transition
Bifurcations of the periodic solutions in symmetric systems
Bifurcation phenomena in systems of ordinary differential equations which are invariant with respect to involutive diffeomorphisms, are studied. Teh "symmetry-breaking" bifurcation is investigated in detail.
Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
Boundary value and periodic problem for the equation
Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach
In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.
Bounded, almost-periodic and periodic solutions of certain singularly perturbed systems with delay
Bounded solutions on the Real line to non-autonomous Riccati Equations
Si dà un risultato di esistenza e unicità di una soluzione limitata in per un'equazione di Riccati infinito-dimensionale.
Bounded solutions to perturbed nonlinear systems and asymptotic relationships.
Boundedness and periodicity of Fifth Order non-Linear Differential Equations
Branching of periodic orbits from Kukles isochrones.
Center conditions for a simple class of quintic systems.
Chaos in some planar nonautonomous polynomial differential equation
We show that under some assumptions on the function f the system generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.
Chaotic dynamics and nonlinear feedback control
Chemotaxis models with a threshold cell density
We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed....
Cohomology and Morse theory for strongly indefinite functionals.
Comments on “A new method for the explicit integration of Lotka-Volterra equations”.
Constant invariant solutions of the Poincaré center-focus problem.
Construction of non-constant lower and upper functions for impulsive periodic problems.