Results 31 to 40 of about 38,899 (233)

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

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

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

Logarithm laws and shrinking target properties [PDF]

, 2008
We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation, and probability theory.Comment: This is a ...
Athreya, Jayadev S.
core   +1 more source

Gowdy phenomenology in scale-invariant variables [PDF]

, 2003
The dynamics of Gowdy vacuum spacetimes is considered in terms of Hubble-normalized scale-invariant variables, using the timelike area temporal gauge.
Andersson, Lars, Uggla, Claes, van Elst, Henk   +2 more
core   +2 more sources

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

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

Extremal dichotomy for uniformly hyperbolic systems [PDF]

, 2015
We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria, Freitas, Ana Cristina Moreira, Freitas, Jorge Milhazes, Holland, Mark, Nicol, Matthew   +4 more
core   +2 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