4 papers
Lyapunov Densities For Markov Processes: An Application To Quantum Systems With Non-Demolition Measurements
Özkan Karabacak, Horia Cornean, Rafael Wisniewski
Stochastic convergence of discrete time Markov processes has been analysed based on a dual Lyapunov approach. Using some existing results on ergodic theory of Markov processes, it…
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…
A computational model revealing the effect of dopamine on action selection
Neslihan Serap Şengör, Özkan Karabacak
In order to reveal the effect of nigrostriatal dopamine system on action selection, first a computational model of the cortex-basal ganglia-thalamus loop is proposed and based on t…
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,…