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Abstract: Extraordinary rays in a hyperbolic metamaterial behave as particle world lines in a three dimensional (2+1) Minkowski spacetime. We analyze electromagnetic field behavior at the boundaries o...
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...
Abstract: In a symplectic reduction framework we construct action-angle systems of canonical coordinates for both the hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen integrable...
Abstract: Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochas...
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...
We study the addition of N_f flavor D5-branes to supergravity solutions describing D5-branes wrapping two-cycles of genus g>1 inside a six-dimensional space equipped with an SU(3)-structure. The non-z...
We introduce a new class of singular partial di erential equations, referred to as the second-order hyperbolic Fuchsian systems, and we investigate the associated initial value problem when data are i...
Recently quantum-like representation algorithm (QLRA) was intro-duced by A. Khrennikov [20]–[28] to solve the so-called “inverse Born’s rule problem”: to construct a representation of probabilistic da...
Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Eucli...
In this paper we develop analytical and numerical methods for finding special hyperbolic trajectories that govern geometry of Lagrangian structures in time-dependent vector fields. The vector fields (...
2007Vol.47No.3pp.474-478DOI: Applications of Extended Hyperbolic Function Method for Quintic Discrete Nonlinear Schrödinger Equation ZHAO Hong, HAN Ji-Guang, WANG Wei-Tao, an...
2006Vol.45No.1pp.135-142DOI: On Differential Equations Describing 3-Dimensional Hyperbolic Spaces WU Jun-Yi,1 DING Qing,1,2 and Keti Tenenblat3 1 Institute of Mathematic...
2005Vol.44No.1pp.79-84DOI: Soliton Solutions of Discrete Complex Ginzburg-Landau Equation via Extended Hyperbolic Function Approach LI Hua-Mei, LIN Ji, and XU You-Sheng ...
Methods of K¡theory and spectral theory of Dirac operators are applied to describe the Chern isomorphisms and quantum fields on branes on hyperbolic manifolds.

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