Exact Lyapunov exponents of the generalized Boole transformations
نویسندگان
چکیده
منابع مشابه
Reflectionless Herglotz Functions and Generalized Lyapunov Exponents
We study several related aspects of reflectionless Jacobi matrices. Our first set of results deals with the singular part of reflectionless measures. We then introduce and discuss Lyapunov exponents, density of states measures, and other related quantities in a general setting. This is related to the previous material because the density of states measures are reflectionless on certain sets.
متن کاملPossibility of the 2D Anderson Transition and Generalized Lyapunov Exponents
Possible existence of the Anderson transition in the 2D case becomes recently a subject of controversy in the literature. Kuzovkov et al [1] studying a growth of the second moments for a particular solution of the quasi-1D Schroedinger equation and interpreting results in terms of the signal theory came to conclusion that the first order Anderson transition exists in the usual 2D Anderson model...
متن کاملLyapunov Exponents for Continuous Transformations and Dimension Theory
We generalize the concept of Lyapunov exponent to transformations that are not necessarily differentiable. For fairly large classes of repellers and of hyperbolic sets of differentiable maps, the new exponents are shown to coincide with the classical ones. We also discuss the relation of the new Lyapunov exponents with the dimension theory of dynamical systems for invariant sets of continuous t...
متن کاملconstruction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولNonlinear analysis of speech signals: generalized dimensions and lyapunov exponents
In this paper, we explore modern methods and algorithms from fractal/chaotic systems theory for modeling speech signals in a multidimensional phase space and extracting characteristic invariant measures like generalized fractal dimensions and Lyapunov exponents. Such measures can capture valuable information for the characterisation of the multidimensional phase space which is closer to the tru...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical and Experimental Physics
سال: 2016
ISSN: 2050-3911
DOI: 10.1093/ptep/ptv195