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Solution bounds of generalized Lorenz chaotic systems. (English) Zbl 1197.37043

Summary: The generalized Lorenz chaotic system is considered and the solution bounds of such a system are investigated. Based on the time-domain approach, the upper solution bound and lower solution bound of the generalized Lorenz chaotic system are proposed. Finally, a numerical example is provided to illustrate the use of the main result.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34H10 Chaos control for problems involving ordinary differential equations
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