Bifurcation Theory for Symmetric Potential Operators and the Equvariant Cup-length.
Bifurcations and chaos in a periodically forced prototype adaptive control system
Bifurcations and stability of families of diffeomorphisms
Bifurcations de polycycles infinis pour les champs de vecteurs polynomiaux du plan
Bifurcations élémentaires et transition
Bifurcations of FitzHugh-Nagumo excitable systems with chemical delayed coupling
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
Biochemical network of drug-induced enzyme production: Parameter estimation based on the periodic dosing response measurement
The well-known bottleneck of systems pharmacology, i. e., systems biology applied to pharmacology, refers to the model parameters determination from experimentally measured datasets. This paper represents the development of our earlier studies devoted to inverse (ill-posed) problems of model parameters identification. The key feature of this research is the introduction of control (or periodic forcing by an input signal being a drug intake) of the nonlinear model of drug-induced enzyme production...
Biot-Savart-Laplace dynamical systems.
Birational canonical transformations and classical solutions of the sixth Painlevé equation
Bispectral commutative ordinary differential operators.
Blow up for a nonlinear degenerate parabolic equation
Blow-up results for some reaction-diffusion equations with time delay
We discuss the effect of time delay on blow-up of solutions to initial-boundary value problems for nonlinear reaction-diffusion equations. Firstly, two examples are given, which indicate that the delay can both induce and prevent the blow-up of solutions. Then we show that adding a new term with delay may not change the blow-up character of solutions.
Book review. Fučík, S., Nečas, J., Souček, J., Souček, V.: Spectral Analysis of Nonlinear Operators
Book Reviews
Border figure detection using a phase oscillator network with dynamical coupling.
Bound sets and two-point boundary value problems for second order differential systems
The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.