Recurrence and Lyapunov Exponents

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Recurrence and Lyapunov Exponents

We prove two inequalities between the Lyapunov exponents of a diffeomorphism and some characteristics of its local recurrence properties. We give examples of linear hyperbolic maps of the torus showing that each of the inequalities is optimal. 2000 Math. Subj. Class. Primary: 37B20; Secondary: 37C45.

متن کامل

Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis.

It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps. (c) 1999 American Institute of Physics.

متن کامل

Lyapunov Exponents

The analysis of potentially chaotic behavior in biological and biomedical phenomena has attracted great interest in recent years (1–6). Although no universally accepted mathematical definition of the term chaos exists, Strogatz (7) provides a working definition as ‘‘aperiodic long-term behavior in a deterministic system that exhibits sensitive dependence on initial conditions.’’ Aperiodic long-...

متن کامل

Lyapunov Exponents

We are interested in iterates of the logistic map T : [0, 1] → [0, 1] defined by

متن کامل

Integrability and Lyapunov Exponents

A smooth distribution, invariant under a dynamical system, integrates to give an invariant foliation, unless certain resonance conditions are present.

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: Moscow Mathematical Journal

سال: 2003

ISSN: 1609-3321,1609-4514

DOI: 10.17323/1609-4514-2003-3-1-189-203