Physics
Scientific paper
Jan 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979rspta.290..435v&link_type=abstract
Royal Society (London), Philosophical Transactions, Series A, vol. 290, no. 1375, Jan. 29, 1979, p. 435-465. Research supported
Physics
29
Celestial Mechanics, Degrees Of Freedom, Dynamic Characteristics, Galaxies, Hamiltonian Functions, Resonance, Asymptotic Methods, Branching (Physics), Dynamic Stability, Equations Of Motion, Gravitation Theory
Scientific paper
The described investigation has the objective to fill the gap between abstract and concrete results by using rigorous methods from the theory of asymptotic expansions. The Hamiltonian and the equations of motion are considered along with a local analysis, the resonance parameter, and aspects of averaging and the modified Birkhoff transformation. The first-order resonance case is investigated, taking into account first-order averaging and integrals of motion. Attention is also given to the existence and stability of bifurcations in the case of n = 1/2, the amplitude-phase equations after transformation and integrals of motion for the resonance case n = 1, and bifurcations in the resonance case n = 1.
No associations
LandOfFree
Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1143125