26 citations · 26 across the 3 of their papers we have counts for
3 papers
math.DS2026
Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus
Swapnil Tripathi, Özkan Karabacak
We present a semidefinite programming framework for constructing time-varying Lyapunov densities for nonautonomous dynamical systems on a hypertorus. The formulation leverages Gram…
math.DS2026
Semidefinite Programming Certificates for Synchronization of Kuramoto Oscillators on Arcs
Swapnil Tripathi, Mahmut Kudeyt, Alkım Gökçen +2
A class of Kuramoto models with a general coupling function that can be expressed in terms of a finite number of harmonics, each comprising sinusoidal terms, is studied. We propose…
nlin.AO2008★ 26 cited
Heteroclinic Ratchets in a System of Four Coupled Oscillators
O. Karabacak, P. Ashwin
We study an unusual but robust phenomenon that appears in an example system of four coupled phase oscillators. We show that the system can have a robust attractor that responds to…