Stability problems and numerical integration on the Lie group SO(3) × R3 × R3

Abstract

The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.

Keywords

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