On a generalized Lorenz canonical form of chaotic systems

0410857 - UTIA-B 20020071 RIV SG eng J - Journal Article
Čelikovský, Sergej - Chen, G.
On a generalized Lorenz canonical form of chaotic systems.
International Journal of Bifurcation and Chaos. Roč. 12, č. 8 (2002), s. 1789-1812. ISSN 0218-1274. E-ISSN 1793-6551
R&D Projects: GA ČR GA102/02/0709
Institutional research plan: CEZ:AV0Z1075907
Keywords : chaos * Lorenz system * Chen system
Subject RIV: BC - Control Systems Theory
Impact factor: 1.144, year: 2002

This paper shows that a large class of systems introduced earlier as the so-called generalized Lorenz system are state equivalent to the special canonical form that covers broader class of systems. The form is called generalized Lorenz canonical form and covers also the so-called Chen system. The important property of the new canonical form is its dependence on a single scalar parameter crucial for bifurcation analysis. That enable chaos tuning having promissing potential in future engineering chaos design.
Permanent Link: http://hdl.handle.net/11104/0130944