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A three dimensional investigation of two dimensional orbits
(Springer, 2012-01)
Orbits in the principal planes of triaxial potentials are known to be prone to unstable motion normal to those planes, so that three dimensional investigations of those orbits are needed even though they are two dimensional. ...
Partially chaotic orbits in a perturbed cubic force model
(Wiley Blackwell Publishing, Inc, 2017-11)
Three types of orbits are theoretically possible in autonomous Hamiltonian systems with 3 degrees of freedom: fully chaotic (they only obey the energy integral), partially chaotic (they obey an additional isolating integral ...
Periodic orbits, invariant tori and chaotic behavior in certain nonequilibrium quadratic three-dimensional differential systems
(2018-01-01)
In (Jafari et al, Phys Lett A 377(9):699-702, 2013) the authors gave the expressions of seventeen classes of quadratic differential systems defined in R3, depending on one real parameter a, which present chaotic behavior ...
Regular and chaotic orbits in a self-consistent triaxial stellar system with slow figure rotation
(Springer, 2006-10)
We created a self-consistent triaxial stellar system through the cold disipationless collapse of 100,000 particles whose evolution was followed with a multipolar code. The resulting system rotates slowly even though its ...