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...