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This article analyzes the continuum-mechanical representation of the global invariant geometric properties of 2D time-periodic Hamiltonian systems and chaotic flows. An application of this analysis concerns the evolution in time of the invariant measure associated with the space-filling...
In this Letter, we propose a mixed-charge model to explain the sign reversals of Hall resistivity for p-type high T c superconductors in the mixed state. The applied field vs temperature boundaries separating positive and negative Hall resistivities would be suppressed in both the underdoped and...
We show that the Hirota derivative has a natural interpretation as a partial intertwining operator in the representation theory of sl(2, C ) which allows its use in the generation of algebraic invariants.
Chaos control in two dimensional traffic flow model taking into account the effect of overpasses, asymmetric distribution of cars and blockage of cars moving in the same direction is performed using parameter change method for discrete dynamical systems.
We apply a recently proposed method for the reconstruction of equations of motion from a time series to experimental chaotic optical data and find the theoretically expected Ikeda model. In contrast to phase space reconstruction methods, it is based on nonlinear regression and maximal...
Audio frequency dielectric constant measurements of CO and N 2 in their solid phases are presented. Anomalous temperature dependence of the dielectric constant in the α -phases of both CO and N 2 and strong hysteresis effects above an onset temperature T h ≃42 K in the β -phase of pure N 2...
The integrable lattice equations arising in the context of singular manifold equations for scalar, multicomponent KP hierarchies and 2D Toda lattice hierarchy are considered. They generate the corresponding continuous hierarchy of singular manifold equations, its Bäcklund transformations and...
Homoclinic chaos is usually examined with the hypothesis of hyperbolicity of the critical point. We consider here, following a (suitably adjusted) classical analytic method, the case of non-hyperbolic points and show that, under a Melnikov-type condition plus an additional assumption, the...
The analogy between general relativity and electromagnetism suggests that there is a new galvano-gravitomagnetic effect, which is the gravitational analog of the Hall effect and takes place when a current carrying conductor is placed in a gravitomagnetic field. In connection with this...
Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincaré recurrences for a rotation map: only three distinct revival times can occur, with specified weights. A link is thus...
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