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Mittag–Leffler stability of fractional-order Lorenz and Lorenz-family systems
Nonlinear Dynamics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunquan, Ke, Chunfang, Miao
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Dynamical Analysis of the Generalized Lorenz Systems
Journal of Dynamical and Control Systems, 2016In order to analyze some generalized Lorenz systems the authors provide a special Lyapunov function by adding a cross term to the classical one. With these new functions they determine the global attractor sets for several ranges of parameters involved in these systems.
Zhang, Fuchen +3 more
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On the impulse stabilization of the Lorenz system
Izvestiya Vysshikh Uchebnykh Zavedenii. MatematikaThe concepts of chaotic systems and systems of differential equations with impulsive action are formulated. A method for stabilizing the zero solution of the chaotic Lorenz system by means of impulsive actions that occur on a certain set of the phase space is proposed.
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Robust Control of the Chaotic Lorenz System
International Journal of Bifurcation and Chaos, 1997This paper presents a global approach for controlling the Lorenz system. The basic idea is to partially cancel the nonlinear cross-coupling terms such that the stability of the resulting system can be guaranteed by sequentially proving the stability of each individual state.
Lenz, Henning, Obradovic, Dragan
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DYNAMICS OF A PARTICULAR LORENZ TYPE SYSTEM
International Journal of Modern Physics C, 2010In this paper we analytically and numerically investigate the dynamics of a nonlinear three-dimensional autonomous first-order ordinary differential equation system, obtained from paradigmatic Lorenz system by suppressing the y variable in the right-hand side of the second equation. The Routh–Hurwitz criterion is used to decide on the stability of the
Testoni, Giorgio E., Rech, Paulo C.
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On the Classical Lorenz System
2015The classical Lorenz system is considered. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system.
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RGB Image Encryption through Cellular Automata, S-Box and the Lorenz System
Symmetry, 2022Wassim Alexan +2 more
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The Lü system is a particular case of the Lorenz system
Physics Letters, Section A: General, Atomic and Solid State Physics, 2013Fernando Fernandez-Sanchez +2 more
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