منابع مشابه
Entropy potential and Lyapunov exponents.
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function, the entropy potential. The validity and the consequences of this hypothesis are explored in detail. The numerical investigation of a continuous-time model provides a further confirmation to the existence of the entropy potential. Furthe...
متن کاملDiscrete Lyapunov exponents and Hausdorff dimension *
A major concept in differentiable dynamics is the Lyapunov exponents of a given map f . It combines the results of ergodic theory with differential properties of f . Consider the following two closely related examples which motivate our paper. Let M be a compact surface and f : M → M a smooth diffeomorphism. Let E denote the set of Borel f -invariant ergodic measures on M . Assume that μ ∈ E . ...
متن کاملDiscrete Lyapunov exponents and Hausdor dimension
A major concept in diierentiable dynamics is the Lyapunov exponents of a given map f. It combines the results of ergodic theory with diierential properties of f. Consider the following two closely related examples which motivate our paper. Let M be a compact surface and f : M ! M a smooth diieomorphism. Let E denote the set of Borel f-invariant ergodic measures on M. Assume that 2 E. Let h() be...
متن کاملNonlinear Stiffness, Lyapunov Exponents, and Attractor Dimension
I propose that stiffness may be defined and quantified for nonlinear systems using Lyapunov exponents, and demonstrate the relationship that exists between stiffness and the fractal dimension of a strange attractor: that stiff chaos is thin chaos. What constitutes a stiff dynamical system? Stiffness is closely related to numerical methods [1]: the signature of stiffness in a problem is that, up...
متن کاملLyapunov Exponents, Entropy Production, and Decoherence
We establish that the entropy production rate of a classically chaotic Hamiltonian system coupled to the environment settles, after a transient, to a metastable value given by the sum of positive generalized Lyapunov exponents. A metastable steady state is generated in this process. This behavior also occurs in quantum systems close to the classical limit, where it leads to the restoration of q...
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: Ergodic Theory and Dynamical Systems
سال: 1982
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700009615