3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Adiabatic Invariant Actions for Partially Integrable Systems
Amir Khodaeian Karim, Konstantinos Kourliouros, Dmitry Turaev
We introduce action integrals for partially integrable Hamiltonian systems that interpolate between the non-integrable and completely integrable theory. We show that under the assu…
Nonuniform expansion and diffusive noise imply random horseshoes and random Young towers
Jeroen S. W. Lamb, Giuseppe Tenaglia, Dmitry Turaev
We propose a notion of random horseshoe and prove density of random horseshoes and existence of a random Young tower with annealed exponential tails for nonuniformly expanding rand…
Symmetric homoclinic tangles in reversible dynamical systems have positive topological entropy
Ale Jan Homburg, Jeroen Lamb, Dmitry Turaev
We consider reversible vector fields in such that the set of fixed points of the involutory reversing symmetry is -dimensional. Let such system have a smooth o…
On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems
William Giles, Jeroen Lamb, Dmitry Turaev
We consider a Hamiltonian system which has an elliptic-hyperbolic equilibrium with a homoclinic loop. We identify the set of orbits which are homoclinic to the center manifold of t…