Abstract
Approximate first integrals (conserved quantities) of a Hamiltonian dynamical system with two-degrees of freedom which arises in the modeling of galaxy have been obtained based on the approximate Noether symmetries for the resonance ω 1 = ω 2. Furthermore, Kolmogorov-Arnold-Moser (KAM) curves have been obtained analytically and they have been compared with the numerical ones on the Poincaré surface of section.
Keywords
Noether's theorem
Hamiltonian system
Mathematics
Homogeneous space
Chaotic
Hamiltonian (control theory)
Kolmogorov–Arnold–Moser theorem
Mathematical physics
Conserved quantity
Dynamical systems theory
Degrees of freedom (physics and chemistry)
Mathematical analysis
Lagrangian
Physics
Geometry
Quantum mechanics
Subject Areas
Quantum chaos and dynamical systems
·Statistical and Nonlinear Physics ·Physical Sciences
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Black Holes and Theoretical Physics
·Nuclear and High Energy Physics ·Physical Sciences
Citations by Year
2017: 2
2018: 1
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Peace, Justice and strong institutions 81%
Loading…
Loading…