الفهرس 
Stability analysis of the time-periodic nonlinear flight dynamics of hovering flapping wing micro aerial vehicles and insects
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Abstract
Flapping-Wing Micro-Air-Vehicles (FWMAVs) are complex systems whose concept is inspired from biological {uFB02}yers in nature. The aim of this thesis is to investigate the sta- bility of the hovering state in FWMAVs and insects. Flight Dynamics of FWMAVs and insects constitutes a nonlinear time periodic system with unconventional contributors to the aerodynamics of {uFB02}ight. In this work, an aerodynamic-body-dynamic model that captures the dominant physical aspects in the {uFB02}ow {uFB01}eld is derived. Full simulations are carried out showing the inherent instability in the system dynamics. The periodic equi- librium of the nonlinear time periodic system is captured using the optimized shooting method. Furthermore, the Floquet theorem is used to assess the stability of the captured periodic orbit corresponding to hovering equilibrium. The results show that the system is indeed unstable.