arnold-liouville theorem
The Arnold-Liouville theorem is a mathematical result that states how the motion of a dynamical system is determined by certain conserved quantities, called integrals of motion. It establishes that for a class of mechanical systems, these integrals are in involution with each other, meaning that their Poisson brackets all vanish, resulting in the system's motion being completely regular and predictable.
Requires login.
Related Concepts (1)
Similar Concepts
- bell's theorem
- conjugacy theorem
- darboux theorem
- darboux's theorem
- eilenberg-steenrod axioms
- gauss-bonnet theorem
- liouville's theorem
- liouvillian dynamics
- lyapunov stability theorem
- noether's theorem
- poincaré-bendixson theorem
- riemann mapping theorem
- rolle's theorem
- tychonoff's theorem
- uniformization theorem