Results 21 to 30 of about 30,046 (283)
Peeling bifurcations of toroidal chaotic attractors [PDF]
Physical Review E, 2007 Chaotic attractors with toroidal topology (van der Pol attractor) have counterparts with symmetry that exhibit unfamiliar phenomena. We investigate double covers of toroidal attractors, discuss changes in their morphology under correlated peeling bifurcations, describe their topological structures and the changes undergone as a symmetry axis crosses ...
Letellier, Christophe +2 more
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Transformation of the generalized chaotic system into canonical form
IJAIN (International Journal of Advances in Intelligent Informatics), 2017 The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system.
Roman Voliansky
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Lorenz-Like Chaotic Attractors Revised [PDF]
, 2011 19 pages, 6 figures, short survey paper for the Springer Proceedings associated to the DYNA2008 Conference: Dynamics & Applications in honour of Mauricio Peixoto and David ...
Araujo, Vitor, Pacifico, Maria Jose
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Learning Chaotic Attractors by Neural Networks [PDF]
Neural Computation, 2000 An algorithm is introduced that trains a neural network to identify chaotic dynamics from a single measured time series. During training, the algorithm learns to short-term predict the time series. At the same time a criterion, developed by Diks, van Zwet, Takens, and de Goede (1996) is monitored that tests the hypothesis that the reconstructed ...
Bakker, R +4 more
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Entropy, 2019 As a new type of nonlinear electronic component, a memristor can be used in a chaotic system to increase the complexity of the system. In this paper, a flux-controlled memristor is applied to an existing chaotic system, and a novel five-dimensional ...
Licai Liu +3 more
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Self-Reproducing Hidden Attractors in Fractional-Order Chaotic Systems Using Affine Transformations
IEEE Open Journal of Circuits and Systems, 2020 This article proposes a unified approach for hidden attractors control in fractional-order chaotic systems. Hidden attractors have small basins of attractions and are very sensitive to initial conditions and parameters.
Wafaa S. Sayed, Ahmed G. Radwan
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Complexity, 2021 Due to the complex behavior of a multiscroll chaotic system, it is a good candidate for the secure communications. In this paper, by adding an additional variable to the modified Lorenz-type system, a new chaotic system that includes only linear and ...
Faqiang Wang, Hongbo Cao, Dingding Zhai
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A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors
Entropy, 2018 In this work, a new fractional-order chaotic system with a single parameter and four nonlinearities is introduced. One striking feature is that by varying the system parameter, the fractional-order system generates several complex dynamics: self-excited ...
Jesus M. Munoz-Pacheco +5 more
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A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks
Mathematics, 2023 Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic systems with complex dynamics has been a research hotspot in the field of chaos. Recently, memristive Hopfield neural networks (MHNNs) offer great potential in the design
Hairong Lin +6 more
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Inverting Chaos: Extracting System Parameters from Experimental Data [PDF]
, 1996 Given a set of experimental or numerical chaotic data and a set of model differential equations with several parameters, is it possible to determine the numerical values for these parameters using a least-squares approach, and thereby to test the model ...
Baker, Gregory L. +2 more
core +2 more sources