A Lie connection between Hamiltonian and Lagrangian optics.
A new model for the transport of particles in a thermostatted system.
A numerically based investigation on the symmetry breaking and asymptotic behavior of the ground states to the -Hénon equation.
A survey of Nambu-Poisson geometry.
An infinite level atom coupled to a heat bath.
Bethe ansatz solutions to quasi exactly solvable difference equations.
Billiards: models with chaotic dynamics.
Binary operations in classical and quantum mechanics
Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply properties which are usually additionally required.
Can drag force suppress Fermi acceleration in a bouncer model?
Control theory and high energy eigenfunctions
Could the classical relativistic electron be a strange attractor?
Derivation of geodesic flow fields and spectrum in digital topographic basins.
Discrete dynamics of complex systems.
Dynamical entropy of a non-commutative version of the phase doubling
A quantum dynamical system, mimicking the classical phase doubling map on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.
Dynamics of Cohen-Grossberg neural networks with mixed delays and impulses.
Geometrical and topological structure of magnetic fields generated by rectilinear wires.
Global attraction to solitary waves in models based on the Klein-Gordon equation.
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.
Ice Crystals Inside the Bell
Inductorless Chua's circuit: experimental time series analysis.