Bifurcations and chaos in a periodically forced prototype adaptive control system
Bifurcations de polycycles infinis pour les champs de vecteurs polynomiaux du plan
Bifurcations élémentaires et transition
Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop.
It is proved in this paper that the maximum number of limit cycles of system⎧ dx/dt = y⎨⎩ dy/dt = kx - (k + 1)x2 + x3 + ε(α + βx + γx2)yis equal to two in the finite plane, where k > (11 + √33) / 4 , 0 < |ε| << 1, |α| + |β| + |γ| ≠ 0. This is partial answer to the seventh question in [2], posed by Arnold.
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.
Bilinear system as a modelling framework for analysis of microalgal growth
A mathematical model of the microalgal growth under various light regimes is required for the optimization of design parameters and operating conditions in a photobioreactor. As its modelling framework, bilinear system with single input is chosen in this paper. The earlier theoretical results on bilinear systems are adapted and applied to the special class of the so-called intermittent controls which are characterized by rapid switching of light and dark cycles. Based on such approach, the following...
Bilinear systems and chaos
Border figure detection using a phase oscillator network with dynamical coupling.
Boundary behavior of blow-up solutions to some weighted nonlinear differential equations.
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.
Boundary value problems on [a,b) and singular perturbations
Boundary value problems with compatible boundary conditions
If is a subset of the space , we call a pair of continuous functions , -compatible, if they map the space into itself and satisfy , for all with . (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential -dimensional system is investigated, provided the boundary conditions are given via...
Boundary-value problems for the one-dimensional -Laplacian with even superlinearity.
Bounded, almost-periodic and periodic solutions of certain singularly perturbed systems with delay
Bounded and almost automorphic solutions of a Liénard equation with a singular nonlinearity.
Bounded and -solutions of certain third order non-linear differential equation with a square integrable forcing term
Bounded and -solutions to a second order nonlinear differential equation with a square integrable forcing term.
Bounded solutions for second-order ordinary differential equations.