Zobrazeno 1 - 10
of 1 837
pro vyhledávání: '"Zaslavsky, G."'
Autor:
Zaslavsky, G. M., Edelman, M.
We consider transport properties of the chaotic (strange) attractor along unfolded trajectories of the dissipative standard map. It is shown that the diffusion process is normal except of the cases when a control parameter is close to some special va
Externí odkaz:
http://arxiv.org/abs/0805.1952
We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha <2. In the continues limit the system's dynamics is described by the Ginzburg-Landau equation w
Externí odkaz:
http://arxiv.org/abs/0707.3941
Autor:
Iomin, A., Zaslavsky, G. M.
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation 8 (2003) 401 - 413
Using a parabolic equation, we consider ray propagation in a waveguide with the sound speed profile that corresponds to the dynamics of a nonlinear oscillator. An analytical consideration of the dependence of the travel time on the initial conditions
Externí odkaz:
http://arxiv.org/abs/0706.0308
Publikováno v:
S.V. Prants, M.V. Budyansky, M.Yu. Uleysky, G.M. Zaslavsky. Chaotic mixing and transport in a meandering jet flow. Chaos. V.16 (2006) art.no 033117.
Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian advection e
Externí odkaz:
http://arxiv.org/abs/nlin/0607016
Autor:
Laskin, N., Zaslavsky, G.
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:
http://arxiv.org/abs/nlin/0512010
Autor:
Zaslavsky, G. M., Edelman, M.
We consider a perturbation of the Anosov-type system, which leads to the appearance of a hierarchical set of islands-around-islands. We demonstrate by simulation that the boundaries of the islands are sticky to trajectories. This phenomenon leads to
Externí odkaz:
http://arxiv.org/abs/nlin/0511027
Multiscale phenomena are ubiquitous in nature as well in laboratories. A broad range of interacting space and time scales determines the dynamics of many systems which are inherently multiscale. In most research disciplines multiscale phenomena are n
Externí odkaz:
http://arxiv.org/abs/physics/0511096
We consider a nonlinear oscillator with fractional derivative of the order alpha. Perturbed by a periodic force, the system exhibits chaotic motion called fractional chaotic attractor (FCA). The FCA is compared to the ``regular'' chaotic attractor. T
Externí odkaz:
http://arxiv.org/abs/nlin/0508018
Autor:
Iomin, A., Zaslavsky, G. M.
This paper has been withdrawn by the authors due to a crucial error.
Comment: This paper has been withdrawn
Comment: This paper has been withdrawn
Externí odkaz:
http://arxiv.org/abs/nlin/0506031
Autor:
Virovlyansky, A. L., Zaslavsky, G. M.
We consider acoustic wave propagation in a model of a deep ocean acoustic waveguide with a periodic range-dependence. Formally, the wave field is described by the Schrodinger equation with a time-dependent Hamiltonian. Using methods borrowed from the
Externí odkaz:
http://arxiv.org/abs/nlin/0412063