1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
Tulczyjew's Triplet with an Ehresmann connection I: Trivialization and Reduction
Oğul Esen, Mahmut Kudeyt, Serkan Sütlü
We study the trivialization and the reduction of the Tulczyjew's triplet, in the presence of a symmetry and an Ehresmann connection associated to it. We thus obtain trivializations…
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…