2009
DOI: 10.1016/j.physleta.2009.08.068
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A new five-term simple chaotic attractor

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Cited by 65 publications
(27 citation statements)
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“…Since Lorenz discovered a three-dimensional autonomous chaotic system [2] with quadratic terms, many chaotic systems have been proposed and studied [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Among the existing chaotic systems, some belong to three dimensions and others belong to four or higher dimensions.…”
Section: Introductionmentioning
confidence: 99%
“…Since Lorenz discovered a three-dimensional autonomous chaotic system [2] with quadratic terms, many chaotic systems have been proposed and studied [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Among the existing chaotic systems, some belong to three dimensions and others belong to four or higher dimensions.…”
Section: Introductionmentioning
confidence: 99%
“…This system is an extension of a modified Lorenz system, which was studied by Schrier and Maas as well as by Munmuangsaen and Srisuchinwong [39,40]. The proposed system is described by the following set of differential equations.…”
Section: The Proposed Systemmentioning
confidence: 99%
“…Namely, (9) is one of the simplest chaotic systems, since it has been proved that four-term autonomous systems cannot exhibit chaos [51]. While there are some other simple five-term chaotic systems (including one quadratic term [52] and two quadratic terms [53]), this new chaotic system has a much larger chaos region (i.e., the existence of chaos in certain ranges of parameter variations, e.g. 1.55…”
Section: Quadratic Nonlinearitiesmentioning
confidence: 99%