TY - JOUR
T1 - Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
AU - Alberto Quezada-Téllez, Luis
AU - Carrillo-Moreno, Salvador
AU - Rosas-Jaimes, Oscar
AU - Flores-Godoy, José Job
AU - Fernández-Anaya, Guillermo
N1 - Publisher Copyright:
© 2017 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2017/7/26
Y1 - 2017/7/26
N2 - 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, spaning 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.
AB - 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, spaning 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.
KW - Lü model
KW - complex variable
KW - hyperchaotic systems
KW - lyapunov exponents
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=85027177025&partnerID=8YFLogxK
U2 - 10.1515/ijnsns-2016-0076
DO - 10.1515/ijnsns-2016-0076
M3 - Artículo
AN - SCOPUS:85027177025
SN - 1565-1339
VL - 18
SP - 371
EP - 384
JO - International Journal of Nonlinear Sciences and Numerical Simulation
JF - International Journal of Nonlinear Sciences and Numerical Simulation
IS - 5
ER -