Bifurcation of periodic points and normal form theory in reversible diffeomorphisms
Bifurcation of periodic solutions from inversion of stability of periodic O.D.E.'S.
Bifurcation of periodic solutions in a rotationally symmetric oscillation system.
Bifurcation of periodic solutions in differential inclusions
Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.
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...
Bifurcation of solutions of nonlinear Sturm-Liouville problems.
Bifurcation of solutions of separable parameterized equations into lines.
Bifurcation problems for variational inequalities
Bifurcation sequences in the dissipative systems with saddle equilibria
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