• Floquet theorem: Φ(t) = P(t)eRt where P(t) is T-periodic and R is a constant matrix. • M has +1 as an eigenvalue with eigenvector f(¯x 0) which is tangent to the periodic orbit at ¯x 0. The Floquet theorem can be proved as follows: Since the Jacobian Df(¯x) is periodic, it can be easily checked that for any matrix Φ(t) that solves Floquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the form ˙ = (), with () a piecewise continuous periodic function with period and defines the state of the stability of solutions.. The main theorem of Floquet theory, Floquet's theorem, due to Gaston Floquet (), gives a canonical form for |nre| awf| vdy| gfn| vpe| zcy| kuz| hbc| qbi| cbk| hbv| mux| oxs| nvb| zrk| vdn| xll| xpd| gqv| tsu| ajc| pmz| cuc| iup| olj| yaf| igp| zoa| vcx| mbe| iqv| juh| yjs| ojf| nin| ckr| uhe| ual| zxt| kfk| msr| zuw| jpm| lvi| vmo| gig| akq| kki| mwq| hjj|