The proto-Lorenz system

Rick Miranda; Emily Stone

doi:10.1016/0375-9601(93)90735-I

The proto-Lorenz system

Rick Miranda
, Emily Stone

Mathematical Sciences

Colorado State University

Research output: Contribution to journal › Article › peer-review

100 Scopus citations

Abstract

A quotient of the Lorenz dynamical system is constructed. This "proto-Lorenz" system has the Lorenz system as a double covering, and the double covering explains the two-eared nature of the strange attractor for the Lorenz system. Arbitrary coverings of the proto-Lorenz system are possible, leading to n-eared strange attractors.

Original language	English
Pages (from-to)	105-113
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	178
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(93)90735-I
State	Published - Jul 5 1993

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AB - A quotient of the Lorenz dynamical system is constructed. This "proto-Lorenz" system has the Lorenz system as a double covering, and the double covering explains the two-eared nature of the strange attractor for the Lorenz system. Arbitrary coverings of the proto-Lorenz system are possible, leading to n-eared strange attractors.

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The proto-Lorenz system

Abstract

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