Results 11 to 20 of about 27,152 (260)
Chaos Theory and Applications, 2022 The famous and well-studied Lorenz system is considered a paradigm for chaotic behavior in three-dimensional continuous differential systems. After the appearance of such a system in 1963, several Lorenz-like chaotic systems have been proposed and ...
Rafael Paulino Silva, Marcelo Messias
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On the dynamics of new 4D Lorenz-type chaos systems
Advances in Difference Equations, 2017 It is often difficult to obtain the bounds of the hyperchaotic systems due to very complex algebraic structure of the hyperchaotic systems. After an exhaustive research on a new 4D Lorenz-type hyperchaotic system and a coupled dynamo chaotic system, we ...
Guangyun Zhang +4 more
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A physically extended Lorenz system [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019 The Lorenz system is a simplified model of Rayleigh-Bénard convection, a thermally driven fluid convection between two parallel plates. Two additional physical ingredients are considered in the governing equations, namely, rotation of the model frame and the presence of a density-affecting scalar in the fluid, in order to derive a six-dimensional ...
Sungju Moon +4 more
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Entropy, 2012 A modified form of the Townsend equations for the fluctuating velocity wave vectors is applied to a laminar three-dimensional boundary-layer flow. These equations are cast into a Lorenz-type system of equations.
LaVar King Isaacson
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Journal of Function Spaces, 2022 The Lorenz-Stenflo mathematical model describes a complex dynamical behavior related to atmospheric acoustic-gravity waves. In this study, qualitative analysis of the four-dimensional hyperchaotic Lorenz-Stenflo system via the Caputo fractional ...
Chernet Tuge Deressa +3 more
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Image Encryption Based on Improved Lorenz System
IEEE Access, 2020 This paper proposes a new method to strengthen the nonlinear kinetic complexity and ergodicity of Lorenz system. Through the analysis of auto-correlation, frequency distribution, approximate entropy and information entropy, the improved Lorenz system has
Chengye Zou +3 more
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Adaptive Synchronization for Generalized Lorenz Systems [PDF]
IEEE Transactions on Automatic Control, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiyin Liang +2 more
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Synchronization and desynchronization in ensembles of mobile agents [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this work is to analyze the mechanisms of influence and destruction, as well as the characteristics of synchronous and asynchronous modes of behavior of ensembles (swarms) of interacting mobile agents moving according to chaotic phase ...
Varvarin, Eugene Mikhailovich +1 more
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Signals, 2023 We present an algorithm for extracting basis functions from the chaotic Lorenz system along with timing and bit-sequence statistics. Previous work focused on modifying Lorenz waveforms and extracting the basis function of a single state variable ...
Aubrey N. Beal
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Advances in Mechanical Engineering, 2023 Aiming at the unpredictability and nonlinearity of the Lorenz chaotic system, this paper takes the fluid thermal convection of the infinite plate as the model, and studies the sliding mode control of the fluid thermal convection of the infinite plate ...
Hongliang Gao +2 more
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