387 citations · 2.1k across the 53 of their papers we have counts for
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nlin.CD2014★ 231 cited
Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity
G. A. Leonov, N. V. Kuznetsov, T. N. Mokaev
In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the cl…
nlin.CD2014★ 94 cited
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
N. V. Kuznetsov, T. A. Alexeeva, G. A. Leonov
Nowadays the Lyapunov exponents and Lyapunov dimension have become so widespread and common that they are often used without references to the rigorous definitions or pioneering wo…
nlin.CD2014★ 124 cited
Differences and similarities in the analysis of Lorenz, Chen, and Lu systems
G. A. Leonov, N. V. Kuznetsov
Currently it is being actively discussed the question of the equivalence of various Lorenz-like systems and the possibility of universal consideration of their behavior, in view of…