Definitions from Wiktionary (Liouville-Arnold theorem)
▸ noun: In dynamical systems theory, a theorem stating that if, in a Hamiltonian dynamical system with n degrees of freedom, there are also known n first integrals of motion that are independent and in involution, then there exists a canonical transformation to action-angle coordinates in which the transformed Hamiltonian is dependent only upon the action coordinates and the angle coordinates evolve linearly in time. Thus the equations of motion for the system can be solved in quadratures if the canonical transform is explicitly known.
▸ Words similar to Liouville-Arnold theorem
▸ Usage examples for Liouville-Arnold theorem
▸ Idioms related to Liouville-Arnold theorem
▸ Wikipedia articles (New!)
▸ Words that often appear near Liouville-Arnold theorem
▸ Rhymes of Liouville-Arnold theorem
▸ Invented words related to Liouville-Arnold theorem
▸ noun: In dynamical systems theory, a theorem stating that if, in a Hamiltonian dynamical system with n degrees of freedom, there are also known n first integrals of motion that are independent and in involution, then there exists a canonical transformation to action-angle coordinates in which the transformed Hamiltonian is dependent only upon the action coordinates and the angle coordinates evolve linearly in time. Thus the equations of motion for the system can be solved in quadratures if the canonical transform is explicitly known.
Similar:
Liouville's formula,
Varignon's theorem,
Picard-Lindelöf theorem,
Abel-Jacobi-Liouville identity,
harmonic function,
Hadwiger's theorem,
canonical formalism,
orbit-stabilizer theorem,
Darboux's theorem,
Kolmogorov-Arnold-Moser theorem,
more...
▸ Words similar to Liouville-Arnold theorem
▸ Usage examples for Liouville-Arnold theorem
▸ Idioms related to Liouville-Arnold theorem
▸ Wikipedia articles (New!)
▸ Words that often appear near Liouville-Arnold theorem
▸ Rhymes of Liouville-Arnold theorem
▸ Invented words related to Liouville-Arnold theorem