A paradigm for describing dynamical systems that have both Hamiltonian and dissipative parts is presented. Features of generalized Hamiltonian systems and metric systems are combined to produce whatâ€¦ (More)

Transport and mixing properties of Rossby waves in shear flow are studied using tools from Hamiltonian chaos theory. The destruction of barriers to transport is studied analytically, by using theâ€¦ (More)

A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, inâ€¦ (More)

ity a nonlocal potential which could fit neutron elastic scattering data in the energy range from 0.4 to 24 MeV and where the optical-model parameters were energy independent. This is, of course, aâ€¦ (More)

We classify Lieâ€“Poisson brackets that are formed from Lie algebra extensions. The problem is relevant because many physical systems owe their Hamiltonian structure to such brackets. A classificationâ€¦ (More)

Magnetic field lines typically do not behave as described in the symmetrical situations treated in conventional physics textbooks. Instead, they behave in a chaotic manner; in fact, magnetic fieldâ€¦ (More)

The linear Vlasov-Poisson system for homogeneous, stable equilibria is solved by means of a novel invertible integral transform that is a generalization of the Hilbert transform. The integralâ€¦ (More)

Systemsof partial differential equationsthat posPoissonâ€”Vlasovsystem.Finally a formulationof this sesshamiltonianstructureare of greatimportancein reducedsystemwith thedistribution functionastheâ€¦ (More)

Hamiltonian and action principle formulations of the basic equations of plasma physics are reviewed. Various types of Lagrangian and Poisson bracket formulations for kinetic and fluid theories areâ€¦ (More)