4 papers
On a cross coupling of Rulkov neural maps
Stefano Disca
We introduce a novel coupling of Rulkov neural maps, proposing a heuristic biological interpretation for the transition to non-small values of the perturbations acting on the slow…
Chaotic discretization theorems for forced linear and nonlinear coupled oscillators
Stefano Disca, Vincenzo Coscia
We prove the holding of chaos in the sense of Li-Yorke for a family of four-dimensional discrete dynamical systems that are naturally associated to ODE systems describing coupled o…
Melnikov Method for a Class of Generalized Ziegler Pendulums
Stefano Disca, Vincenzo Coscia
The Melnikov method is applied to a class of generalized Ziegler pendulums. We find an analytical form for the separatrix of the system in terms of Jacobian elliptic integrals, hol…
Chaotic dynamics of a continuous and discrete generalized Ziegler pendulum
Stefano Disca, Vincenzo Coscia
We present analytical and numerical results on integrability and transition to chaotic motion for a generalized Ziegler pendulum, a double pendulum subject to an angular elastic po…