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An approximate renormalization transformation is constructed for Hamiltonian systems with three degrees of freedom to study the break-up of invariant tori with a three-dimensional frequency vector from the cubic field Q ( τ ), where τ 3 + τ 2 −2 τ −1=0. This renormalization has two fixed...
The synchronization transition is described for a system of two asymmetrically coupled chaotic oscillators. Such a system can represent the two-cluster state in a large ensemble of globally coupled oscillators. It is shown that the transition can be typically mediated by a transcritical...
Using embedded Gaussian orthogonal random matrix ensemble of two-body interactions (EGOE(2)), it is demonstrated that finite interacting boson systems in the dense limit exhibit average-fluctuations separation with the smoothed state density being a Gaussian (with corrections) and the...
Field equations for generalized principle models with nonconstant metric are derived and ansatz for their Lax pairs is given. Equations that define the Lax pairs are solved for the simplest solvable group. Painlevé analysis of the resulting model is performed and its particular solutions are found.
Irreducible second-order SUSY transformations are applied to periodic Hamiltonians in order to find physically acceptable partner potentials with the same band structure as the initial one. Lamé's potentials are analized in the same context. The main differences with the SUSY approach to...
We consider the coupled system of higher order nonlinear Schrödinger equation and Maxwell–Bloch (HNLS–MB) equations, which governs the nonlinear wave propagation in erbium doped optical waveguides in presence of important higher order effects. We present the Lax pair and using Bäcklund...
With both analytical and numerical simulation methods, it is found that, by using an intense laser pulse with sharply rising or falling edges in vacuum, an electron can be accelerated to very high energies, which approaches the upper-limit of the energy predicted by the half-wavelength...
We investigated ferromagnetic transition in a multiply-twisted helix, in which a helical chain of components is twisted, producing a doubly-twisted helix, which if itself is twisted produces a triply-twisted helix, and so on, in which there are couplings between adjacent rounds of helices. The...
This article addresses the dynamical behaviour of sputtered neutrals in the strong electric fields arising in industrial plasmas. Such particles are displaced from the substrate surface by the impacting plasma ions, and clearly must be present in the sheath region, directly above the substrate....
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