Largest Lyapunov exponent of long-range XY systems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Largest Lyapunov exponent of long-range XY systems

We calculate analytically the largest Lyapunov exponent of the so-called αXY Hamiltonian in the high energy regime. This system consists of a d-dimensional lattice of classical spins with interactions that decay with distance following a powerlaw, the range being adjustable. In disordered regimes the Lyapunov exponent can be easily estimated by means of the “stochastic approach”, a theoretical ...

متن کامل

Scaling laws for the largest Lyapunov exponent in long-range systems: A random matrix approach.

We investigate the laws that rule the behavior of the largest Lyapunov exponent (LLE) in many particle systems with long-range interactions. We consider as a representative system the so-called Hamiltonian alpha-XY model where the adjustable parameter alpha controls the range of the interactions of N ferromagnetic spins in a lattice of dimension d. In previous work the dependence of the LLE wit...

متن کامل

Fault Detection in Dynamic Systems Using the Largest Lyapunov Exponent

Fault Detection in Dynamic Systems Using the Largest Lyapunov Exponent. (May 2011) Yifu Sun, B.S, Beijing Institute of Technology Chair of Advisory Committee: Dr. Alexander G. Parlos A complete method for calculating the largest Lyapunov exponent is developed in this thesis. For phase space reconstruction, a time delay estimator based on the average mutual information is discussed first. Then, ...

متن کامل

Analysis of Human Standing Balance by Largest Lyapunov Exponent

The purpose of this research is to analyse the relationship between nonlinear dynamic character and individuals' standing balance by the largest Lyapunov exponent, which is regarded as a metric for assessing standing balance. According to previous study, the largest Lyapunov exponent from centre of pressure time series could not well quantify the human balance ability. In this research, two imp...

متن کامل

Is the largest Lyapunov exponent preserved in embedded dynamics?

The method of reconstruction for an n-dimensional system from observations is to form vectors of m consecutive observations, which for m > 2n, is generically an embedding. This is Takens’ result. Our analytical examples show that it is possible to obtain spurious Lyapunov exponents that are even larger than the largest Lyapunov exponent of the original system. Therefore, we present examples whe...

متن کامل

ذخیره 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: Physica A: Statistical Mechanics and its Applications

سال: 2004

ISSN: 0378-4371

DOI: 10.1016/j.physa.2004.04.005