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nlin.AO2016
On the Almost Everywhere Stability of Discrete-Time Dynamical Systems
Ozkan Karabacak, Rafael Wisniewski, John-Josef Leth
For a dynamical system, it is known that the existence of a Lyapunov-type density function, called Lyapunov density or Rantzer's density function, implies convergence of Lebesgue a…
nlin.AO2015
Uni-directional synchronization and frequency difference locking induced by a heteroclinic ratchet
Özkan Karabacak
A system of four coupled oscillators that exhibits unusual synchronization phenomena has been ana- lyzed. Existence of a one-way heteroclinic network, called heteroclinic ratchet,…