Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds
Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds
We analyze the method of optimal balance introduced by Viúdez and Dritschel [J. Fluid Mech., 521 (2004), pp. 343--352] to provide balanced initializations for two- and three-dimensional geophysical flows in the simpler context of a finite-dimensional Hamiltonian two-scale system with strong gyroscopic forces. It is well known that when the …