Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Pritula, G. M."'
Autor:
Usatenko, O. V., Pritula, G. M.
In this study, we continue our exploration of the concept of information temperature as a characteristic of random sequences. We describe methods for introducing the information temperature in the context of binary high-order Markov chain with step-w
Externí odkaz:
http://arxiv.org/abs/2307.12841
We propose two different approaches for introducing the information temperature of the binary N-th order Markov chains. The first approach is based on comparing the Markov sequences with the equilibrium Ising chains at given temperatures. The second
Externí odkaz:
http://arxiv.org/abs/2205.15303
Publikováno v:
Physica A 528 (2019) 121477
The aim of this paper is to study the correlation properties of random sequences with additive linear conditional probability distribution function (CPDF) and elaborate a reliable tool for their generation. It is supposed that the state space of the
Externí odkaz:
http://arxiv.org/abs/2002.05675
We give an example of a simple mechanical system described by the generalized harmonic oscillator equation, which is a basic model in discussion of the adiabatic dynamics and geometric phase. This system is a linearized plane pendulum with the slowly
Externí odkaz:
http://arxiv.org/abs/1703.07421
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016) 065101 (11pp)
We study the nonlinear dynamics of globally coupled nonidentical oscillators in the framework of two order parameter (mean field and amplitude-frequency correlator) reduction. The main result of the paper is the exact solution of the corresponding no
Externí odkaz:
http://arxiv.org/abs/1606.02526
Statistical properties of random cross-correlated sequences constructed by the convolution method (likewise referred to as the Rice's or the inverse Fourier transformation) are examined. Algorithms for their generation are discussed. They are frequen
Externí odkaz:
http://arxiv.org/abs/1307.0464
Autor:
Pritula, G. M., Vekslerchik, V. E.
Publikováno v:
Journal of Nonlinear Mathematical Physics, 18 (2011) 443
We study a (2+1)-dimensional system that can be viewed as an infinite number of O(3) sigma-fields coupled by a nearest-neighbour Heisenberg-like interaction. We reduce the field equations of this model to an integrable system that is closely related
Externí odkaz:
http://arxiv.org/abs/1108.5937
Autor:
Pritula, G. M., Vekslerchik, V. E.
Publikováno v:
Journal of Physics A, 43 (2010) 365203
This paper is devoted to the system of coupled KdV-like equations. It is shown that this apparently non-integrable system possesses an integrable reduction which is closely related to the Volterra chain. This fact is used to construct the hyperellipt
Externí odkaz:
http://arxiv.org/abs/1007.3394
Autor:
Pritula, G. M., Vekslerchik, V. E.
Publikováno v:
J. Phys. A: Math. Gen., 36 (2003) 213-226
Taking the standard zero curvature approach we derive an infinite set of integrable equations, which taken together form the negative Volterra hierarchy. The resulting equations turn out to be nonlocal, which is usual for the negative flows. However,
Externí odkaz:
http://arxiv.org/abs/nlin/0302030
Autor:
Pritula, G. M., Vekslerchik, V. E.
Publikováno v:
J. Nonlinear Math. Phys., volume 10, no. 3 (2003) 256-281
Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2+1)-dimensional Landau-Lifshitz model. It is established that in the case of \vec S (\vec r, t)= \vec
Externí odkaz:
http://arxiv.org/abs/nlin/0009043