We state two recent results concerning the linearization of integrable systems on generalised Jacobians. Then we apply this to the (complexified) spherical pendulum.

In this study, generalized k-order Fibonacci hybrid quaternion is defined. We give recurrence relation, generating function, the summation formula and some properties for these quaternions. Furthermore, matrix representation quaternions determined. The Q_k defined numbers given By means of another matrices, several identities are also obtained.

In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative negative subscripts. line purpose, construct some new properties such as; special determinant equalities, recurrence relations, matrix formulas, Binet-like generating functions, exponential summation binomial for these quaternions.