Non-chaotic behaviour in three-dimensional quadratic systems

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Published under licence by IOP Publishing Ltd
, , Citation Zhang Fu and Jack Heidel 1997 Nonlinearity 10 1289 DOI 10.1088/0951-7715/10/5/014

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This article is corrected by 1999 Nonlinearity 12 739

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1 Department of Mathematics, University of Nebraska at Omaha, Omaha, NB 68182, USA

Dates

  1. Received 1 October 1996

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0951-7715/10/5/1289

Abstract

It is shown that three-dimensional dissipative quadratic systems of ordinary differential equations with a total of four terms on the right-hand side of the equations do not exhibit chaos. This complements recent work of Sprott who has given many examples of chaotic quadratic systems with as few as five terms on the right-hand side of the equations.

PACS Number: 0545

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10.1088/0951-7715/10/5/014