Heteroclinic cycles emanating from local bifurcations.
Heteroclinic solutions for perturbed second order systems
The existence of infinitely many heteroclinic orbits implying a chaotic dynamics is proved for a class of perturbed second order Lagrangian systems possessing at least 2 hyperbolic equilibria.
Heterodimensional cycles, partial hyperbolicity and limit dynamics
We study one-parameter families of diffeomorphisms unfolding heterodimensional cycles (i.e. cycles containing periodic points of different indices). We construct an open set of such arcs such that, for a subset of the parameter space with positive relative density at the bifurcation value, the resulting nonwandering set is the disjoint union of two hyperbolic basic sets of different indices and a strong partially hyperbolic set which is robustly transitive. The dynamics of the diffeomorphisms we...
Higher order branching of periodic orbits from polynomial isochrones.
Higher order Poincaré-Pontryagin functions and iterated path integrals
Homoclinic and periodic orbits for hamiltonian systems
Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
Homoclinic tangencies and hyperbolicity for surface diffeomorphisms.
Homoclinic tangencies near cascades of period doubling bifurcations
Homological Identities for Closed Orbits.
Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays.
Hopf Bifurcation Analysis of Pathogen-Immune Interaction Dynamics With Delay Kernel
The aim of this paper is to study the steady states of the mathematical models with delay kernels which describe pathogen-immune dynamics of infectious diseases. In the study of mathematical models of infectious diseases it is important to predict whether the infection disappears or the pathogens persist. The delay kernel is described by the memory function that reflects the influence of the past density of pathogen in the blood and it is given by a nonnegative bounded and normated function k defined...
Hopf bifurcation from infinity
Hopf bifurcation in symmetric systems
Hopf bifurcation in the IS-LM business cycle model with time delay.
Hopf bifurcation of integro-differential equations.
Hopf bifurcation with -symmetry.
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...