A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems |
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| Affiliation: | 1. School of Astronautics, Harbin Institute of Technology, P. O. Box 137, Harbin 150001, P. R. China;2. The Academy of Fundamental and Interdisciplinary Science, Harbin Institute of Technology, 3041#, Harbin 150080, P.R. China;1. School of Computer Information management, Inner Mongolia University of Finance and Economics, China;2. China Academy of Information and Communication Technology, China;1. Department of Computer Engineering, Faculty of Engineering, Hitit University, Corum, 19030, Turkey;2. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, India;3. Faculty of Political Sciences, Department of Business Administration, Management Information Systems, Social Sciences University of Ankara, Ankara, 06050, Turkey;4. Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya, 54050, Turkey;1. School of Control Science and Engineering, Tiangong University, Tianjin 300387, China;2. Tianjin Key Laboratory of Intelligent Control of Electrical Equipment, Tiangong University, Tianjin 300387, China;3. Department of Information Engineering, ShanDong Water Conservancy Vocational College, Rizhao 276826, China;1. Faculty of Engineering, Department of Electrical–Electronics Engineering, Firat University, 23119 Elazig, Turkey;2. Faculty of Engineering, Department of Electrical Electronics and Information Engineering, University of Catania, 95125 Catania, Italy |
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| Abstract: | In this paper, we consider characteristic polynomials of n-dimensional systems that determine a segment of polynomials. One parameter is used to characterize this segment of polynomials in order to determine the maximal interval of dissipativity and unstability. Then we apply this result to the generation of a family of attractors based on a class of unstable dissipative systems (UDS) of type affine linear systems. This class of systems is comprised of switched linear systems yielding strange attractors. A family of these chaotic switched systems is determined by the maximal interval of perturbation of the matrix that governs the dynamics for still having scroll attractors. |
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