Stability Problems and Analytical Integration for the Clebsch’s System

Abstract

The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy Asymptotic Method are presented, too.

Keywords

• optimal control
• nonlinear ordinary differential systems
• nonlinear stability
• multistage optimal homotopy asymptotic method
• 34h15
• 65nxx
• 65p40
• 70h14
• 74g10
• 74h10