An Integrable Different-Difference Family and Its Hamiltonian
This research proposes a new heuristic, namely, unreachable vertex heuristic, to reduce the chance of reaching a dead end while constructing the Hamiltonian
Now we want to solve (27) to obtain an analytic quasiperiodic Hamiltonian
solution [P.sub.m](t) on [D.sub.[rho]] with the frequencies [omega].
Hence, by applying the transformation (4) to the Hamiltonian
of a classical system we get its classical polymerized counterpart.
We vary parametrically the energies e; of the states and determine the eigenvalues [E.sub.i] [equivalent to] [E.sub.i] + i/2[[GAMMA].sub.i] of the non-Hermitian Hamiltonian
For this Hamiltonian
, the corresponding equations of motion and the corresponding variational equations that govern the evolution of a deviation vector can be found in .
The partial Hamiltonian
approach provides three solutions for the case in which there are no parameter restrictions and fourth solution for the specific parameter restriction [sigma] = [beta]([rho] + [pi])/[2[pi][beta] - [delta] + [delta][beta] - [pi]] was established in Naz et al .
Bokhove, derived the geometric link between the parcel Eulerian - Lagrangian formulation and well-known variational and Hamiltonian
formulation for three models of ideal and geophysical fluid flow.
Current efforts have been made to dispose the control problem of the stochastic magnetic levitation system on the basis of Hamiltonian
For second-order equations, the transformation into a Hamiltonian
system is usually achieved by the common method via the Legendre transformation by defining the conjugate momenta as p = [partial derivative]L/[partial derivative]y, where L is the Lagrangian.
Gluhovsky, "Energy-conserving and Hamiltonian
low-order models in geophysical fluid dynamics," Nonlinear Processes in Geophysics, vol.
[[??]' = [??]'(q, p) is the Hamiltonian
. [mathematical expression not reproducible] represent the weak damping and pure parametric random excitations, respectively.