Journal of Non-linear Mathematical Physics

ISSN: 1402-9251
Volume 10, Issue 3, August 2003
L FEHÉR, I MARSHALL
Pages: 304 - 317
A family of special cases of the integrable Euler equations on so(n) introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied. Heteroclinic orbits are constructed that connect unstable equilibria and are given by the orbits of certain 1-parameter...
Boris A KUPERSHMIDT
Pages: 318 - 339
The sequence of period 6 starting with 1, 1, 0, -1, -1, 0 appears in many different disguises in mathematics. Various q-versions of this sequence are found, and their relations with Euler's pentagonal numbers theorem and Chebyshev polynomials are discussed. The motto on Cardinal Newman's tomb ought to...
P G L LEACH, G P FLESSAS
Pages: 340 - 423
The characteristic feature of the Kepler Problem is the existence of the so-called Laplace­Runge­Lenz vector which enables a very simple discussion of the properties of the orbit for the problem. It is found that there are many classes of problems, some closely related to the Kepler Problem and others...