332 research outputs found
Collection of Mutually Synchronized Chaotic Systems
A general explicit coupling for mutual synchronization of two arbitrary
identical continuous systems is proposed. The synchronization is proved
analytically. The coupling is given for all 19 systems from Sprott's
collection. For one of the systems the numerical results are shown in detail.
The method could be adopted for the teaching of the topic.Comment: Published in Physics Letters A 352 (2006) 222-22
Magnetic instability of a two-dimensional Anderson non-Fermi liquid
We show that in the Anderson model for a two-dimensional non-Fermi liquid a
magnetic instability can lead to the itinerant electron ferromagnetism. The
critical temperature and the susceptibility of the paramagnetic phase have been
analytically calculated. The usual Fermi behaviour is re-obtained taking the
anomalous exponent to be zero.Comment: 3 pages, Revte
Fluctuation conductivity in layered d-wave superconductors near critical disorder
We consider the fluctuation conductivity in the critical region of a disorder
induced quantum phase transition in layered d-wave superconductors. We
specifically address the fluctuation contribution to the system's conductivity
in the limit of large (quasi-two-dimensional system) and small
(quasi-three-dimensional system) separation between adjacent layers of the
system. Both in-plane and c-axis conductivities were discussed near the point
of insulator-superconductor phase transition. The value of the dynamical
critical exponent, , permits a perturbative treatment of this quantum
phase transition under the renormalization group approach. We discuss our
results for the system conductivities in the critical region as function of
temperature and disorder.Comment: Final version to be published in Eur. Phys. J.
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