Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
| Autor: | José Job Flores-Godoy, Guillermo Fernández-Anaya, L. A. Quezada-Téllez, Oscar A. Rosas-Jaimes, S. Carrillo-Moreno |
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| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Lyapunov exponent 01 natural sciences Stability (probability) 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics symbols.namesake Mechanics of Materials Modeling and Simulation 0103 physical sciences symbols Applied mathematics 010301 acoustics Engineering (miscellaneous) Mathematics |
| Zdroj: | International Journal of Nonlinear Sciences and Numerical Simulation. 18:371-384 |
| ISSN: | 2191-0294 1565-1339 |
| DOI: | 10.1515/ijnsns-2016-0076 |
| Popis: | In this article, extended complex Lü models (ECLMs) are proposed. They are obtained by substituting the real variables of the classical Lü model by complex variables. These projections, spanning from five dimensions (5D) and six dimensions (6D), are studied in their dynamics, which include phase spaces, calculations of eigenvalues and Lyapunov’s exponents, Poincaré maps, bifurcation diagrams, and related analyses. It is shown that in the case of a 5D extension, we have obtained chaotic trajectories; meanwhile the 6D extension shows quasiperiodic and hyperchaotic behaviors and it exhibits strange nonchaotic attractor (SNA) features. |
| Databáze: | OpenAIRE |
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