Integrable in A Sentence

    1

    A proof that homoclinic trajectories in the form of pinched tori imply monodromy in two degree of freedom integrable systems has also been given.

    2

    Hamiltonian theory is an important element of integrable systems, whether discrete, ordinary differential or partial differential equations.

    3

    If we eliminate P, Q, R from (22), the resulting equations are integrable with respect to t; thus Moa - M0a.

    4

    They soon realized that the three body problem is not integrable, which means that no exact solution can ever be found.

    5

    We study the homoclinic orbits of the completely integrable discrete sine-Gordon.