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- W1967896927 abstract "In this paper, we construct the polytope which contains all compact ω-limit sets of the four-dimensional Rössler system which is a generalization of the hyperchaotic Rössler system for the case of positive parameters. Further, we find a few three-dimensional planes containing all compact ω-limit sets for bounded positive half-trajectories located in some subdomains in the half-space z > 0. Besides, we analyze one case in which all compact ω-limit sets in the half-space z > 0 are contained in one three-dimensional plane. Our approach is based on a combination of the LaSalle theorem and the extreme-based localization method of compact invariant sets." @default.
- W1967896927 created "2016-06-24" @default.
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- W1967896927 date "2014-11-01" @default.
- W1967896927 modified "2023-09-26" @default.
- W1967896927 title "On the Ultimate Dynamics of the Four-Dimensional Rössler System" @default.
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- W1967896927 doi "https://doi.org/10.1142/s0218127414501491" @default.
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