3 papers
nlin.CD2026
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…
nlin.CD2025
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…
nlin.CD2025
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…