An Integrable Different-Difference Family and Its
Hamiltonian Structure
This research proposes a new heuristic, namely, unreachable vertex heuristic, to reduce the chance of reaching a dead end while constructing the
Hamiltonian path.
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 H.
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 [4].
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 [9].
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 energy theory.
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.
