Elementary quadratic chaotic flows with no equilibria

Three methods are used to produce a catalog of seventeen elementary three-dimensional chaotic flows with quadratic nonlinearities that have the unusual feature of lacking any equilibrium points. It is likely that most if not all the elementary examples of such systems have now been identified. ► Som...

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Veröffentlicht in:	Physics letters. A 2013-03, Vol.377 (9), p.699-702
Hauptverfasser:	Jafari, Sajad, Sprott, J.C., Hashemi Golpayegani, S. Mohammad Reza
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Chaotic flows Eigenvalue Lyapunov exponent No equilibrium Nonlinearity Solid state physics Three dimensional
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Three methods are used to produce a catalog of seventeen elementary three-dimensional chaotic flows with quadratic nonlinearities that have the unusual feature of lacking any equilibrium points. It is likely that most if not all the elementary examples of such systems have now been identified. ► Some chaotic flows have the unusual feature of lacking any equilibrium points. ► Three methods are used to produce a catalog of seventeen simple chaotic flows. ► Our search was limited to three-dimensional flows with quadratic nonlinearities.
ISSN:	0375-9601 1873-2429
DOI:	10.1016/j.physleta.2013.01.009