3 papers
math.DS2026
Dual Lyapunov-based Synchronization Control of Rössler System
Alkım Gökçen, Savaş Şahin, 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…
math-ph2019
Second Order Lagrangian Dynamics On Double Cross Product Groups
Oğul Esen, Mahmut Kudeyt, Serkan Sütlü
We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Base…