نتایج جستجو برای: lyapunov exponents

تعداد نتایج: 26080  

Journal: :Physica D: Nonlinear Phenomena 2006

Journal: :Ergodic Theory and Dynamical Systems 1985

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 2016

Journal: :Physical review. D, Particles and fields 1994
Gong

We develop a method for calculating the Lyapunov characteristic exponents of lattice gauge theories. The complete Lyapunov spectrum of SU(2) gauge theory is obtained and Kolmogorov-Sinai entropy is calculated. Rapid convergence with lattice size is found. In Ref.1, we have studied chaos in lattice gauge systems by obtaining the largest Lyapunov exponents. The method used there, though straightf...

1994
Zhan-Qian Lu Richard L. Smith Jianqing Fan Gopinath Kallianpur Steve Marron Doug Nychka Steve Ellner Ron Gallant

Nonlinear dynamical systems often exhibit chaos, which is characterized by sensitive dependence on initial values or more precisely by a positive Lyapunov exponent. Recognizing and quantifying chaos in time series represents an important step toward understanding the nature of random behavior and revealing the extent to which short-term forecasts may be improved. We will focus on the statistica...

Journal: :Transactions of the American Mathematical Society 2019

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