Results 21 to 30 of about 38,779 (219)

Applying dissipative dynamical systems to pseudorandom number generation: Equidistribution property and statistical independence of bits at distances up to logarithm of mesh size

, 2011
The behavior of a family of dissipative dynamical systems representing transformations of two-dimensional torus is studied on a discrete lattice and compared with that of conservative hyperbolic automorphisms of the torus.
, , , , Bizzarri A. R., Couture R., Knuth D. E., L'Ecuyer P. Simard R., L. Yu. Barash, Landau D. P., Lozi R., Niederreiter H., Pareek N. K. et al, Patidar V.   +13 more
core   +1 more source

Skew products, quantitative recurrence, shrinking targets and decay of correlations

, 2011
We consider toral extensions of hyperbolic dynamical systems. We prove that its quantitative recurrence (also with respect to given observables) and hitting time scale behavior depend on the arithmetical properties of the extension.
Abadi, Barreira, BENOIT SAUSSOL, Cassels, Chazottes, Fayad, Galatolo, JÉRÔME ROUSSEAU, Kuipers, STEFANO GALATOLO   +9 more
core   +3 more sources

Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion

Results in Physics
The main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion.
Zhao Li, Chunyan Liu
doaj   +1 more source

Finite type coarse expanding conformal dynamics

, 2011
We continue the study of non-invertible topological dynamical systems with expanding behavior. We introduce the class of {\em finite type} systems which are characterized by the condition that, up to rescaling and uniformly bounded distortion, there are ...
Haïssinsky, Peter, Pilgrim, Kevin M.
core   +2 more sources

Weak noise approach to the logistic map

, 2004
Using a nonperturbative weak noise approach we investigate the interference of noise and chaos in simple 1D maps. We replace the noise-driven 1D map by an area-preserving 2D map modelling the Poincare sections of a conserved dynamical system with ...
B. Shraiman, E. Medina, E. Ott, F. T. Arecchi, H. C. Fogedby, H. C. Fogedby, H. C. Fogedby, H. C. Fogedby, H. C. Fogedby, H. Haken, H.A. Kramers, Hans C. Fogedby, J. E. Hirsch, J. R. Crutchfield, J.R. Crutchfield, L. E. Reichl, L. Landau, M. J. Feigenbaum, M. J. Feigenbaum, M. Kardar, M.I. Freidlin, Mogens H. Jensen, N. G. vanKampen, P. C. Martin, P. Collet, P. Cvitanovic, P. Cvitanovic, P. Cvitanovic, P. Grassberger, P. Hänggi, P. Reimann, P. Reimann, P. Reimann, P. Reimann, P. Talkner, R. Baussch, R. Graham, R. Graham, R. Graham, R. Graham, R. Graham, S. Grossmann, S. H. Strogatz, S. J. Linz, W. Wenzel   +44 more
core   +1 more source

Quasinormal modes and complexity in saddle-dominated SU(N) spin systems

Journal of High Energy Physics
We study SU(N) spin systems that mimic the behavior of particles in N-dimensional de Sitter space for N = 2, 3. Their Hamiltonians describe a dynamical system with hyperbolic fixed points, leading to emergent quasinormal modes at the quantum level. These
Sergio E. Aguilar-Gutierrez, Yichao Fu, Kuntal Pal, Klaas Parmentier   +3 more
doaj   +1 more source

Fractional-order chaotic system with hyperbolic function

Advances in Mechanical Engineering, 2019
In this article, we study bistability, multiscroll, and symmetric properties of fractional-order chaotic system with cubic nonlinearity. The system is configured with hyperbolic function consisting of a parameter “ g .” By varying the parameter “ g ...
G Gugapriya, Prakash Duraisamy, Anitha Karthikeyan, B Lakshmi   +3 more
doaj   +1 more source

Frontiers in complex dynamics

, 1994
Rational maps on the Riemann sphere occupy a distinguished niche in the general theory of smooth dynamical systems. First, rational maps are complex-analytic, so a broad spectrum of techniques can contribute to their study (quasiconformal mappings ...
McMullen, Curtis T.
core   +4 more sources

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Qualitative analysis and explicit solutions of perturbed Chen–Lee–Liu equation with refractive index

Results in Physics
The main purpose of this article is to study the qualitative analysis and explicit solutions of perturbed Chen–Lee–Liu equation with refractive index. By utilizing wave transformation, two-dimensional dynamics in a plane are obtained.
Zhao Li
doaj   +1 more source