Direct Dynamical Test for Deterministic Chaos
نویسندگان
چکیده
منابع مشابه
A new test for chaos in deterministic systems
We describe a new test for determining whether a given deterministic dynamical system is chaotic or nonchaotic. In contrast to the usual method of computing the maximal Lyapunov exponent, our method is applied directly to the time series data and does not require phase space reconstruction. Moreover, the dimension of the dynamical system and the form of the underlying equations is irrelevant. T...
متن کاملApplied Dynamical Systems London Taught Course Centre , Lectures 6 – 10 From Deterministic Chaos to Deterministic Diffusion
These are easy-to-read lecture notes for a short first-year Ph.D. student course on Applied Dynamical Systems, given at the London Taught Course Centre in Spring 2008 and 2009. The full course consists of two parts, each covering five hours of lectures. The first part by David Arrowsmith is on Basic dynamical systems, intermittency and autocorrelation. The present notes cover only the second pa...
متن کاملDeterministic Chaos Lab
The final report for the Deterministic Chaos Lab (DC Lab) should include appropriate presentations and explanations of data in addition to some qualitative discussion on interesting or significant aspects of the experiment. A brief discussion describing the general nature referenced in scientific literature will be to your benefit. There are some books (and even free ebooks) on the subject avai...
متن کاملChaos for Discrete Dynamical System
Since Li and Yorke first gave the definition of chaos by using strict mathematical language in 1975 [1], the research on chaos has greatly influenced modern science, not just natural sciences but also several social sciences, such as economics, sociology, and philosophy. The theory of chaos convinced scientists that a simple definite system can produce complicated features and a complex system ...
متن کاملEncryption using Deterministic Chaos
The concepts of randomness, unpredictability, complexity and entropy form the basis of modern cryptography and a cryptosystem can be interpreted as the design of a key-dependent bijective transformation that is unpredictable to an observer for a given computational resource. For any cryptosystem, including a Pseudo-Random Number Generator (PRNG), encryption algorithm or a key exchange scheme, f...
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: Europhysics Letters (EPL)
سال: 1994
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/25/7/002