English

On the 3-dimensional fractional-order Toda lattice with two controls

Dynamical Systems 2025-07-29 v1

Abstract

On the 3-dimensional fractional-order Toda lattice with two controls The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to 3-dimensional Toda lattice with two controls. For this fractional system we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate controls and numerical integration via the fractional Euler method.

Keywords

Cite

@article{arxiv.2507.20788,
  title  = {On the 3-dimensional fractional-order Toda lattice with two controls},
  author = {Mihai Ivan},
  journal= {arXiv preprint arXiv:2507.20788},
  year   = {2025}
}

Comments

14 pages no figures. arXiv admin note: substantial text overlap with arXiv:2210.12751 by other authors