Results 1 to 10 of about 27,053 (161)
A Hybrid Quantum Solver for the Lorenz System [PDF]
EntropyWe develop a hybrid classical–quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations.
Sajad Fathi Hafshejani +5 more
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On the topology of the Lorenz system. [PDF]
Proc Math Phys Eng Sci, 2017 We present a new paradigm for three-dimensional chaos, and specifically for the Lorenz equations. The main difficulty in these equations and for a generic flow in dimension 3 is the existence of singularities. We show how to use knot theory as a way to remove the singularities.
Pinsky T.
europepmc +5 more sources
Detection of a sudden change of the field time series based on the Lorenz system. [PDF]
PLoS ONE, 2017 We conducted an exploratory study of the detection of a sudden change of the field time series based on the numerical solution of the Lorenz system. First, the time when the Lorenz path jumped between the regions on the left and right of the equilibrium ...
ChaoJiu Da +5 more
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ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2010 In this paper, we prove that the Chen system with a set of chaotic parameters is not smoothly equivalent to the Lorenz system with any parameters.
Guanrong Chen, Zhenting Hou
exaly +4 more sources
Stable and unstable regions of the Lorenz system. [PDF]
Sci Rep, 2018 AbstractThe stable and unstable regions of the Lorenz system are studied. We discuss the relationship between the initial conditions and both these regions, specifically, the preference for the trajectory of the Lorenz system to move towards the left or right equilibrium-point region from an initial point and the residence time of a trajectory in an ...
Shen BL +5 more
europepmc +4 more sources
Circuit Implementation and PRNG Applications of Time Delayed Lorenz System
Chaos Theory and Applications, 2022 In this study, time delayed form of Lorenz system is introduced, and exemplary applications of the time delayed Lorenz system are performed. Firstly, the time delayed Lorenz system is numerically solved by considering the Lorenz system as a system of ...
Burak Arıcıoğlu, Sezgin Kaçar
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Connection Science, 2023 The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm.
Bharti Ahuja +5 more
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Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays
Mathematics, 2020 This paper is concerned with the output synchronization problems for a class of delayed complex dynamical networks. Based on the invariant principle of functional differential equations and Lyapunov stability theory, the feedback controller and parameter
Liangzhi Gan +3 more
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Modeling of information channel by using of pseudorandom signals of nonlinear dynamical system
Известия высших учебных заведений: Проблемы энергетики, 2020 Pseudorandom signals of nonlinear dynamical systems are studied and the possibility of their application in information systems analyzed. Continuous and discrete dynamical systems are considered: Lorenz System, Bernoulli and Henon maps.
I. K. Nasyrov, V. V. Andreev
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Archives of Control Sciences, 2014 In this research work, a twelve-term novel 5-D hyperchaotic Lorenz system with three quadratic nonlinearities has been derived by adding a feedback control to a ten-term 4-D hyperchaotic Lorenz system (Jia, 2007) with three quadratic nonlinearities.
Vaidyanathan Sundarapandian +2 more
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