Global behavior of four competitive rational systems of difference equations in the plane.
Global stability of saddle-node bifurcation of a periodic orbit for vector fields
Group analysis methods for construction and investigation of the bifurcation equation
Heteroclinic cycles emanating from local bifurcations.
Homoclinic and periodic orbits for hamiltonian systems
Homoclinic tangencies near cascades of period doubling bifurcations
Homological Identities for Closed Orbits.
Hopf bifurcation from infinity
Hopf bifurcation in symmetric systems
Hopf-bifurcation in systems with spherical symmetry. I: Invariant tori.
Hopf-bifurcation in systems with spherical symmetry, Part II: Connecting orbits.
Hybrid matrix models and their population dynamic consequences
In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation as well...
Hybrid matrix models and their population dynamic consequences
In this paper, the main purpose is to reveal what kind of qualitative dynamical changes a continuous age-structured model may undergo as continuous reproduction is replaced with an annual birth pulse. Using the discrete dynamical system determined by the stroboscopic map we obtain an exact periodic solution of system with density-dependent fertility and obtain the threshold conditions for its stability. We also present formal proofs of the supercritical flip bifurcation at the bifurcation as...
Index estimates and critical points of functionals not satisfying Palais-Smale
Infinite cup length in free loop spaces with an application to a problem of the N-body type
Interaction of Periodic and Stationary Bifurcation from Multiple Eigenvalues.
Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point
Spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional superdiffusive Brusselator model are analyzed. The superdiffusive Brusselator model differs from its regular counterpart in that the Laplacian operator of the regular model is replaced by ∂α/∂|ξ|α, 1 < α < 2, an integro-differential operator that reflects the nonlocal behavior of superdiffusion. The order of the operator, α, is a measure of the rate of ...
Interactions entre bifurcation par brisure partielle de symétrie sphérique
Invariant Measures of C...-Diffeomorphisms of Markov Type in R...
Le «closing lemma» en topologie