Can I read A New Interpretation of Chaos on EtoBox?

A New Interpretation of Chaos by Chuanwen Luo; Gang Wang; Chuncheng Wang; Junjie Wei is a Physics and Astronomy article available to read on EtoBox.

What is A New Interpretation of Chaos about?

The concepts of uniform index and expectation uniform index are two mathematical descriptions of the uniformity and the mean uniformity of a finite set in a polyhedron. The concepts of instantaneous chaometry (ICM) and k step chaometry (k SCM) are introduced in order to apply the method in statistics for studying the nonlinear difference equations. It is found that k step chaometry is an indirect estimation of the expectation uniform index. The simulation illustrate that the expectation uniform index for the Lorenz System is increasing linearly, but increasing nonlinearly for the Chen's System with parameter b. In other words, the orbits for each system become more and more uniform with parameter b increasing. Finally, a conjecture is also brought forward, which implies that chaos can be interpreted by its orbit's mean uniformity described by the expectation uniform index and indirectly estimated by k SCM. The k SCM of the heart rate showes the feeble and old process of the heart.

Who reads A New Interpretation of Chaos?

Author

Chuanwen Luo; Gang Wang; Chuncheng Wang; Junjie Wei

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)

Published

2009

Language

EN

Field

Physics and Astronomy (Physical Sciences)