This paper examines the recurrent behaviour of a class of hybrid systems which periodically switch between diierent rst order integrators. The analysis is based on studying the Poincare map of the hybrid system. For switched integrator systems, the Poincare maps are linear mappings thereby allowing easy characterization of the system's stability. Extending these results to more general classes ...

A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model by the action of the spin generator leads to the minimal covariant model; whereas that by the action of spin and mass generators, to the anyon model with free phase space that is a cotangent bundle of the Lobachevsky plane with twisted symplectic structure. Quantum mechanics of that model is des...

Using the correlation function of chiral vertex operators of the Coulomb gas model, we find the Laughlin wavefunctions of quantum Hall effect, with filling factor ν = 1/m, on Riemann sufaces with Poincare metric. The same is done for quasihole wavefunctions. We also discuss their plasma analogy. e-mail:[email protected] e-mail:[email protected]

The dynamical behavior of an SIS epidemic model with birth pulses and pulse treatments at different moments is discussed by means of both theoretical and numerical ways. Birth pulse, vertical transmission, and pulse treatment are considered in building model. The existence and stability of the trivial solution, infection-free periodic solution, and epidemic periodic solutions are investigated. ...

We present Poincare invariant domain wall (“3-brane”) solutions to some 5-dimensional effective theories which can arise naturally in string theory. In particular, we find theories where Poincare invariant solutions exist for arbitrary values of the brane tension, for certain restricted forms of the bulk interactions. We describe examples in string theory where it would be natural for the quant...