Bifurcation analysis for a two-dimensional discrete-time Hopfield neural network with delays.
Bifurcation analysis in a kind of fourth-order delay differential equation.
Bifurcation analysis of a Kaldor-Kalecki model of business cycle with time delay.
Bifurcation analysis of Rössler system with multiple delayed feedback.
Bifurcation analysis on a delayed SIS epidemic model with stage structure.
Bifurcation and stability of families of hyperbolic vector fields in dimension three
Bifurcation and total stability
Bifurcation diagram of a cubic three-parameter autonomous system.
Bifurcation diagrams and Fomenko’s surgery on Liouville tori of the Kolossoff potential
Bifurcation for second-order Hamiltonian systems with periodic boundary conditions.
Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas [Book]
Bifurcation from Periodic Solutions in Functional Differential Equations.
Bifurcation in a model of the population dynamics.
Bifurcation in mathematical models of social and economic interaction
Bifurcation into gaps in the essential spectrum.
Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
Bifurcation of closed orbits from a limit cycle in
Bifurcation of heteroclinic orbits for diffeomorphisms
The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. The existence of a Melnikov-like function for the two-dimensional case is shown. Simple possibilities of the set of heteroclinic points are described for higherdimensional cases.
Bifurcation of multi-bump homoclinics in systems with normal and slow variables.
Bifurcation of periodic and chaotic solutions in discontinuous systems
Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications are given...