PERIODIC ORBITS OF HAMILTONIAN SYSTEMS LINEAR AND HYPERBOLIC AT INFINITY
Abbreviated Journal Title
Pac. J. Math.
periodic orbits; Hamiltonian flows; Floer homology; Conley conjecture; SYMPLECTIC-MANIFOLDS; CONLEY CONJECTURE; FLOER HOMOLOGY; FIXED-POINTS; MORSE-THEORY; DIFFEOMORPHISMS; DYNAMICS; INDEX; HOMEOMORPHISMS; PRIMES; Mathematics
We consider Hamiltonian diffeomorphisms of symplectic Euclidean spaces, generated by compactly supported time-dependent perturbations of hyperbolic quadratic forms. We prove that, under some natural assumptions, such a diffeomorphism must have simple periodic orbits of arbitrarily large period when it has fixed points which are not necessary from a homological perspective.
Pacific Journal of Mathematics
"PERIODIC ORBITS OF HAMILTONIAN SYSTEMS LINEAR AND HYPERBOLIC AT INFINITY" (2014). Faculty Bibliography 2010s. 5402.