Zobrazeno 1 - 10
of 123
pro vyhledávání: '"George M. Zaslavsky"'
Autor:
George M. Zaslavsky
The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics,
Autor:
George M. Zaslavsky, Vasily E. Tarasov
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 13:1860-1878
Using the fact that extremum of variation of generalized action can lead to the fractional dynamics in the case of systems with long-range interaction and long-term memory function, we consider two different applications of the action principle: gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8776d479485dd2567c45142de0edb73
https://doi.org/10.1016/j.cnsns.2007.05.017
https://doi.org/10.1016/j.cnsns.2007.05.017
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 13:314-330
Multiscale phenomena are ubiquitous in nature as well as in laboratories. A broad range of interacting space and time scales determines the dynamics of many systems which are inherently multiscale. In many systems multiscale phenomena are not only pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7cffcf784d7c34d8e4d8b1c8bc625c5
https://doi.org/10.1016/j.cnsns.2006.04.003
https://doi.org/10.1016/j.cnsns.2006.04.003
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 12:1405-1417
The one-dimensional chain of coupled oscillators with long-range power-law interaction is considered. The equation of motion in the infrared limit are mapped onto the continuum equation with the Riesz fractional derivative of order $\alpha$, when $0<
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b7da80bb909a0721dcd7cfce25ed3ff
https://doi.org/10.1016/j.cnsns.2006.03.015
https://doi.org/10.1016/j.cnsns.2006.03.015
Autor:
Rong Fan, George M. Zaslavsky
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 12:1038-1052
In this paper, we study a piecewise linear version of kicked oscillator model: saw-tooth map. A special case of global periodicity, in which every phase point belongs to a periodic orbit, is presented. With few analytic results known for the correspo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::726be488313f3f4836815062f30f6a89
https://doi.org/10.1016/j.cnsns.2005.09.002
https://doi.org/10.1016/j.cnsns.2005.09.002
Autor:
George M. Zaslavsky, Vasily E. Tarasov
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 383:291-308
Field equations with time and coordinates derivatives of noninteger order are derived from stationary action principle for the cases of power-law memory function and long-range interaction in systems. The method is applied to obtain a fractional gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66ccb500198a236faef1c7e8caf1605a
https://doi.org/10.1016/j.physa.2007.04.050
https://doi.org/10.1016/j.physa.2007.04.050
Autor:
Nickolay Korabel, George M. Zaslavsky
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 378:223-237
Discrete nonlinear Schrodinger (DNLS) equation describes a chain of oscillators with nearest-neighbor interactions and a specific nonlinear term. We consider its modification with long-range interaction through a potential proportional to 1/l1+α wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::807b61bf8bc55debefef275dff283732
https://doi.org/10.1016/j.physa.2006.10.041
https://doi.org/10.1016/j.physa.2006.10.041
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 373:11-20
We analyze the fluctuations in the solar wind electric field and in the magnetospheric response to demonstrate the existence of algebraic tails of the corresponding distributions. It is shown that the fractional kinetic equation provides a suitable m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b4f3cbb0d8aece02eb06dbe70cb06e3
https://doi.org/10.1016/j.physa.2006.05.036
https://doi.org/10.1016/j.physa.2006.05.036
Autor:
George M. Zaslavsky, Vasily E. Tarasov
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 11:885-898
We consider one-dimensional chain of coupled linear and nonlinear oscillators with long-range power wise interaction defined by a term proportional to 1/|n-m|^{\alpha+1}. Continuous medium equation for this system can be obtained in the so-called inf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::372d8dc9085d429f6a55e911ba040612
https://doi.org/10.1016/j.cnsns.2006.03.005
https://doi.org/10.1016/j.cnsns.2006.03.005
Autor:
N. Laskin, George M. Zaslavsky
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 368:38-54
A unified approach has been developed to study nonlinear dynamics of a 1D lattice of particles with long-range power-law interaction. A classical case is treated in the framework of the generalization of the well-known Frenkel-Kontorova chain model f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::173d2fd8781a698f0ef237de17178f8f
https://doi.org/10.1016/j.physa.2006.02.027
https://doi.org/10.1016/j.physa.2006.02.027