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In this paper we study the dynamics of the third exotic contact form of Gonzalo and Varela [ 5 ] onS  3${S^{3}}$    in the framework of contact form geometry. This dynamics has an impact on the variational problem associated to the contact form such as the violation of the Fredholm condition and the Morse indices of different periodic orbits.

Dynamics of the Third Exotic Contact Form on the Sphere Along a Vector Field in its Kernel