3 papers
math.DS2026
Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus
Swapnil Tripathi, Ãzkan 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
Dual Lyapunov-based Synchronization Control of Rössler System
Alkım Gökçen, SavaÅ Åahin, Mahmut Kudeyt +2
This paper proposes a novel approach for the synchronization problem of nonlinear dynamical systems, integrating dual Lyapunov stability analysis with polynomial optimization. A co…
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…