A SHOOTING APPROACH TO CHAOS IN THE LORENZ EQUATIONS

Authors
HASTINGS SP TROY WC
Citation
Sp. Hastings et Wc. Troy, A SHOOTING APPROACH TO CHAOS IN THE LORENZ EQUATIONS, Journal of differential equations, 127(1), 1996, pp. 41-53
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
127
Issue
1
Year of publication
1996
Pages
41 - 53
Database
ISI
SICI code
0022-0396(1996)127:1<41:ASATCI>2.0.ZU;2-X
Abstract
We prove that under certain conditions, the Lorenz equations support a form of chaos. The conditions have been verified for a particular set of parameter values, showing that there is a natural 1:1 corresponden ce between a set of solutions and the set of all sequences on countabl y many symbols. The computing required was modest. (C) 1996 Academic P ress, Inc.