The Uniqueness Of Normal Forms Via Lie Transforms And Its Applications To Hamiltonian-Systems
Astronomy & Astrophysics; Mechanics
A necessary and sufficient condition is given for the unique normal forms about critical elements-equilibrium points and periodic orbits. With some applications to the Birkhoff's normal form along with its generalized form by K.R. Meyer, the restricted problem of three bodies near L4, the Birkohoff's normalization procedure, and the singular perturbation, of Hamiltonian systems are discussed.
Liu, Jong C., "The Uniqueness Of Normal Forms Via Lie Transforms And Its Applications To Hamiltonian-Systems" (1985). Faculty Bibliography 1980s. 372.