Relevant bibliographies by topics / Multi-scroll chaotic attractor

Academic literature on the topic 'Multi-scroll chaotic attractor'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Multi-scroll chaotic attractor"

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Vaidyanathan, Sundarapandian, Aceng Sambas, Mohamad Afendee Mohamed, Mustafa Mamat, W. S. Mada Sanjaya, and Sudarno Sudarno. "A new 2-D multi-stable chaotic attractor and its MultiSim electronic circuit design." Indonesian Journal of Electrical Engineering and Computer Science 22, no. 2 (May 1, 2021): 699. http://dx.doi.org/10.11591/ijeecs.v22.i2.pp699-707.

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<span>A new multi-stable system with a double-scroll chaotic attractor is developed in this paper. Signal plots are simulated using MATLAB and multi-stability is established by showing two different coexisting double-scroll chaotic attractors for different states and same set of parameters. Using integral sliding control, synchronized chaotic attractors are achieved between drive-response chaotic attractors. A MultiSim circuit is designed for the new chaotic attractor, which is useful for practical engineering realizations.</span>
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LIU, XINZHI, XUEMIN SHERMAN SHEN, and HONGTAO ZHANG. "MULTI-SCROLL CHAOTIC AND HYPERCHAOTIC ATTRACTORS GENERATED FROM CHEN SYSTEM." International Journal of Bifurcation and Chaos 22, no. 02 (February 2012): 1250033. http://dx.doi.org/10.1142/s0218127412500332.

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In this paper, we create a multi-scroll chaotic attractor from Chen system by a nonlinear feedback control. The dynamic behavior of the new chaotic attractor is analyzed. Specially, the Lyapunov spectrum and Lyapunov dimension are calculated and the bifurcation diagram is sketched. Furthermore, via changing the value of the control parameters, we can increase the number of equilibrium points and obtain a family of more complex chaotic attractors with different topological structures. By introducing time delay to the feedback control, we then generalize the multi-scroll attractor to a set of hyperchaotic attractors. Computer simulations are given to illustrate the phase portraits with different system parameters.
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Yin, Wen Shuang, Dai Jun Wei, and Shi Qiang Chen. "A Novel Four-Order Chaotic System with N-Attractor Multi-Direction Multi-Scroll Attractors." Applied Mechanics and Materials 678 (October 2014): 81–88. http://dx.doi.org/10.4028/www.scientific.net/amm.678.81.

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In this paper, a novel four-order system is proposed. It can generate N-attractor multi-direction multi-scroll attractor by adding simple nonlinear functions. We analyze the new system by using means of maximum Lyapunov exponent, bifurcation diagram and Poincaré maps of the system. Moreover, an minimum operational amplifier circuit is designed for realizing 2×(3×3 ×3) scroll chaotic attractors, and experimental results are also obtained, which verify chaos characteristics of the system.
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Sampath, Sivaperumal, Sundarapandian Vaidyanathan, Aceng Sambas, Mohamad Afendee, Mustafa Mamat, and Mada Sanjaya. "A New Four-Scroll Chaotic System with a Self-Excited Attractor and Circuit Implementation." International Journal of Engineering & Technology 7, no. 3 (August 24, 2018): 1931. http://dx.doi.org/10.14419/ijet.v7i3.14865.

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This paper reports the finding a new four-scroll chaotic system with four nonlinearities. The proposed system is a new addition to existing multi-scroll chaotic systems in the literature. Lyapunov exponents of the new chaotic system are studied for verifying chaos properties and phase portraits of the new system via MATLAB are unveiled. As the new four-scroll chaotic system is shown to have three unstable equilibrium points, it has a self-excited chaotic attractor. An electronic circuit simulation of the new four-scroll chaotic system is shown using MultiSIM to check the feasibility of the four-scroll chaotic model.
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Huang, Yong. "A New Grid Multi-Scroll Chaotic System and the Simulation Based on Labview." Advanced Materials Research 538-541 (June 2012): 2666–69. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2666.

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In order to get the grid Multi-Scroll in the two directions, based on a simple unstable system, the way of the combination of the translational transform and step function was put forward to make the scrolls extending in the x and y directions in this paper. The quantity of scrolls can be controlled by two parameters N and M. A simulation system was designed with Labview to simulate grid Multi-Scroll chaotic system, it demonstrates the existence of grid Multi-Scroll chaotic attractor.
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YU, SIMIN, WALLACE K. S. TANG, JINHU LÜ, and GUANRONG CHEN. "DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS." International Journal of Bifurcation and Chaos 20, no. 01 (January 2010): 29–41. http://dx.doi.org/10.1142/s0218127410025387.

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Lorenz system, as the first classical chaotic system, has been intensively investigated over the last four decades. Based on the sawtooth wave function, this paper initiates a novel approach for generating multi-wing butterfly chaotic attractors from the generalized first and second kinds of Lorenz-type systems. Compared with the traditional ring-shaped multi-scroll Lorenz chaotic attractors, the proposed multi-wing butterfly chaotic attractors are much easier to be designed and implemented by analog circuits. The dynamical behaviors of these multi-wing butterfly chaotic systems are further studied. Theoretical analysis shows that every index-2 saddle-focus equilibrium corresponds to a unique wing in the butterfly attractors. Finally, a module-based unified circuit diagram is constructed for realizing various multi-wing butterfly attractors. It should be especially pointed out that this is the first time in the literature that a maximal 10-wing butterfly chaotic attractor is experimentally verified by analog circuits.
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HU, GUOSI, and BO YU. "A HYPERCHAOTIC SYSTEM WITH A FOUR-WING ATTRACTOR." International Journal of Modern Physics C 20, no. 02 (February 2009): 323–35. http://dx.doi.org/10.1142/s0129183109013649.

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Recently, there are many methods for constructing multi-wing/multi-scroll or hyperchaotic attractors; however, it has been noticed that the attractors with both multi-wing topological structure and hyperchaotic characteristic rarely exist. A new chaotic system, obtained by making the change on coordinate to the Hu chaotic system, can generate very complex attractors with four-wing topological structure and three positive Lyapunov exponents over a wide range of parameters. The influence of parameters varying to system dynamics is analyzed, computer simulations and bifurcation analysis is also verified in this paper.
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Boukabou, A., A. Chebbah, and A. Belmahboul. "Stabilizing Unstable Periodic Orbits of the Multi-Scroll Chua's Attractor." Nonlinear Analysis: Modelling and Control 12, no. 4 (October 25, 2007): 469–77. http://dx.doi.org/10.15388/na.2007.12.4.14678.

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This paper addresses the control of the n-scroll Chua’s circuit. It will be shown how chaotic systems with multiple unstable periodic orbits (UPOs) detected in the Poincar´e section can be stabilized as well as taking the system dynamics from one UPO to another.
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Bouallegue, Kais, Abdessattar Chaari, and Ahmed Toumi. "Multi-scroll and multi-wing chaotic attractor generated with Julia process fractal." Chaos, Solitons & Fractals 44, no. 1-3 (January 2011): 79–85. http://dx.doi.org/10.1016/j.chaos.2010.12.005.

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GÜNAY, ENİS. "A NEW AUTONOMOUS CHAOS GENERATOR FROM STATE CONTROLLED-CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 22, no. 03 (March 2012): 1250069. http://dx.doi.org/10.1142/s0218127412500691.

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In this study, a new autonomous chaos generator is presented via State Controlled-Cellular Neural Networks (SC-CNNs). From the numerical and circuit simulations, it has been shown that the proposed SC-CNN consisting of three cells can be easily used in chaotic applications as a chaos generator. After presenting the double scroll generation, the presented SC-CNN system is used either in multi-scroll chaotic attractor generation by adding a trigonometric function generator and or to construct a SC-CNN based chaotic masking system with feedback algorithm.
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Dissertations / Theses on the topic "Multi-scroll chaotic attractor"

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Han, Fengling, and Han fengling@rmit edu au. "Multi-scroll chaos generation via linear systems and hysteresis function series." RMIT University. Electrical and Computer Engineering, 2004. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20081212.120739.

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Anti-control of chaos has attracted a lot of attention recently due to its potential applications in science and engineering. How to generate useful chaos that is also practically implementable and useful is a current focus of research. This research aims at developing new chaos generation schemes which demonstrate complex dynamical behaviours using simple linear systems with hysteresis function series. A continuous-time linear unstable second-order system with a feedback of hysteresis function is first proposed for generating chaos. The design for chaos generation is studied theoretically. A Poincaré map is used to demonstrate the dynamical behaviour of the system. The existence and the analytic solution of the limit cycle that bounds the basin of attraction of the chaotic attractor are derived. Conditions for the existence of chaotic attractors are studied. A hysteresis based system with a maximum chaotic stability margin is designed. Second, systematic methods for generating 1D n-scroll chaotic attractors in the directions of the state variables and 2D nxm-grid scroll chaotic attractors in the phase plane via continuous-time linear unstable second-order systems with a feedback of hysteresis function series are proposed. Furthermore, systematic methods for generating 1D n-scroll, 2D nxm-grid scroll and 3D nxmxl-space scroll chaotic attractors via continuous-time linear unstable third-order systems using hysteresis function series feedback are also presented in this thesis. Simulation results are presented to demonstrate effectiveness of the schemes. It is shown that the multi-scroll chaos generation systems can be represented in Lur'e form, and as a result it may be used within synchronization schemes for secure communication. Third, the limit cycle that bounds the basin of attraction in the multi-scroll chaos generation with second-order systems case is studied. The relationship of the size of the basin of attraction with the numbers of hysteresis function series is studied. The multi-scroll chaos generation mechanism is then further explored by analyzing the system trajectories; the switching boundaries, switching rules and the trajectories on each subspace. The chaotic behaviours are confirmed theoretically and it is proved that a non-ordinary attractor exists in the multi-scroll chaotic attractor of the second-order systems case. The abundant dynamical behaviour of the multi-scroll chaos generation systems using different hysteresis feedback are demonstrated. A double-hysteresis function, which is the superimposition of two basic hysteresis functions, is proposed for the implementation of the hysteresis based chaotic system. In this design, the double-hysteresis block and its series are constructed via a systematic method. The ideal hysteresis function series can be implemented easily with the proposed double-hysteresis function. The number of scroll attractors can be designed arbitrarily, and the multi-scroll chaotic attractors can be located anywhere and cover any chosen area of the phase plane. The circuitry implementation for generating 1D n-scroll, 2D nxm-grid scroll chaotic attractors with linear second-order systems and hysteresis function series is given. And the oscilloscope illustrated waveforms which included as many as 9x9=81 scrolls chaotic attractor are presented. The experimental results confirmed the theoretical analysis very well and validated the effectiveness as well as the feasibility of the proposed multi-scroll chaos generation schemes. This research may find potential engineering applications in areas such as digital coding and image processing, etc.
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Book chapters on the topic "Multi-scroll chaotic attractor"

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Chen, Liping, and Ranchao Wu. "Design and generation of fractional-order multi-scroll chaotic attractors." In Applications in Engineering, Life and Social Sciences, Part B, edited by Dumitru Bǎleanu and António Mendes Lopes, 233–60. Berlin, Boston: De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571929-009.

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Tlelo-Cuautle, E., M. Sánchez-Sánchez, V. H. Carbajal-Gómez, A. D. Pano-Azucena, L. G. de la Fraga, and G. Rodriguez-Gómez. "On the Verification for Realizing Multi-scroll Chaotic Attractors with High Maximum Lyapunov Exponent and Entropy." In Advances and Applications in Chaotic Systems, 311–36. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30279-9_13.

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"Multi-Scroll Chaotic and Hyperchaotic Attractors." In Cellular Neural Networks, Multi-Scroll Chaos and Synchronization, 45–104. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812567741_0003.

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Pacheco, Jesus Manuel Munoz. "Synthesis Methodology for Multi-Scrolls Chaotic Attractors." In Electronic Design Automation of Multi-scroll Chaos Generators, 56–76. BENTHAM SCIENCE PUBLISHERS, 2012. http://dx.doi.org/10.2174/978160805165611001010056.

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Conference papers on the topic "Multi-scroll chaotic attractor"

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Bocheng Bao, Lei Zhu, Xiaofeng Wang, Zhong Liu, and Jianping Xu. "Generating multi-scroll chaotic attractor from a linear system driven by saturated function series." In 2010 International Conference on Communications, Circuits and Systems (ICCCAS). IEEE, 2010. http://dx.doi.org/10.1109/icccas.2010.5581876.

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Shan, Xudong, Xia Huang, and Yingjie Fan. "Generation of Multi-Scroll Chaotic Attractor in a Simple State-Dependent Switched System: A Threshold Tuning Approach." In 2019 Chinese Control Conference (CCC). IEEE, 2019. http://dx.doi.org/10.23919/chicc.2019.8866023.

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Gao, Ying, Qiuhui Li, Xianhui Li, and Gongbin Qian. "Construction of multi-scroll chaotic attractors with exponential function." In 2016 IEEE International Conference on Digital Signal Processing (DSP). IEEE, 2016. http://dx.doi.org/10.1109/icdsp.2016.7868616.

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Kaya, Duygu, and Mustafa Turk. "A Matlab/Simulink model for multi-scroll chaotic attractors." In 2015 23th Signal Processing and Communications Applications Conference (SIU). IEEE, 2015. http://dx.doi.org/10.1109/siu.2015.7130412.

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Liang, Jiaqian, Nan Zhang, and Gongbin Qian. "Design of multi-scroll chaotic attractors using nonlinear exponential function." In 2017 IEEE 2nd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC). IEEE, 2017. http://dx.doi.org/10.1109/itnec.2017.8284844.

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Bouallegue, Kais. "Generation of Multi-scroll Chaotic Attractors from Fractal and Multi-fractal Processes." In 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2011. http://dx.doi.org/10.1109/iwcfta.2011.87.

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Pinghua Chen and Guobo Xie. "Generation of Multi-scroll Chaotic Attractors from High-Order Chua System." In 2008 International Symposium on Information Science and Engineering (ISISE). IEEE, 2008. http://dx.doi.org/10.1109/isise.2008.199.

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Xie, Guobo, Simin Yu, Yijun Liu, and Zhusong Liu. "Generation of multi-scroll chaotic attractors from fifth-order Chua system." In 2008 11th IEEE Singapore International Conference on Communication Systems (ICCS). IEEE, 2008. http://dx.doi.org/10.1109/iccs.2008.4737262.

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Deng, Weihua, and Jinhu Lu. "Design of Multi-Directional Multi-Scroll Chaotic Attractors Based on Fractional Differential Systems." In 2007 IEEE International Symposium on Circuits and Systems. IEEE, 2007. http://dx.doi.org/10.1109/iscas.2007.378315.

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Mao Wang, Guanghui Sun, and Lilian Huang. "A switching piecewise-linear control approach for generating of multi-scroll chaotic attractors." In 2010 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA 2010). IEEE, 2010. http://dx.doi.org/10.1109/isscaa.2010.5634021.

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