Results 11 to 20 of about 30,046 (283)
Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit
IEEE Access, 2018 In this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system.
Chunbiao Li +4 more
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Mathematics, 2022 In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor ...
Zhenggang Guo, Junjie Wen, Jun Mou
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Fuzzy Synchronization of Chaotic Systems with Hidden Attractors
Entropy, 2023 Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive.
Jessica Zaqueros-Martinez +3 more
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Complexity, 2020 Based on the integer-order memristive system that can generate two-scroll, three-scroll, and four-scroll chaotic attractors, in this paper, we found other phenomena that two kinds of three-scroll chaotic attractors coexist in this system with different ...
Xikui Hu, Ping Zhou
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The dimension of chaotic attractors [PDF]
Physica D: Nonlinear Phenomena, 1983 Dimension is perhaps the most basic property of an attractor. In this paper we discuss a variety of different definitions of dimension, compute their values for a typical example, and review previous work on the dimension of chaotic attractors. The relevant definitions of dimension are of two general types, those that depend only on metric properties ...
J. Doyne Farmer +2 more
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Complexity, 2020 In this paper, a new 4D memristor-based chaotic system is constructed by using a smooth flux-controlled memristor to replace a resistor in the realization circuit of a 3D chaotic system.
Lilian Huang +3 more
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Coherent motion of chaotic attractors [PDF]
Physical Review E, 2017 We report a simple model of two drive-response-type coupled chaotic oscillators, where the response system copies the nonlinearity of the driver system. It leads to a coherent motion of the trajectories of the coupled systems that establishes a constant separating distance in time between the driver and the response attractors, and their distance ...
Louodop, Patrick +5 more
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Fractal and Fractional, 2022 The study of hidden attractors plays a very important role in the engineering applications of nonlinear dynamical systems. In this paper, a new three-dimensional (3D) chaotic system is proposed in which hidden attractors and self-excited attractors ...
Jiahui Wang, Chengwei Dong, Hantao Li
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How chaotic are strange non-chaotic attractors? [PDF]
Nonlinearity, 2006 19 pages, 2 ...
Glendinning, Paul +2 more
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Scaling of distributions of sums of positions for chaotic dynamics at band-splitting points [PDF]
, 2014 The stationary distributions of sums of positions of trajectories generated by the logistic map have been found to follow a basic renormalization group (RG) structure: a nontrivial fixed-point multi-scale distribution at the period-doubling onset of ...
Diaz-Ruelas, Alvaro +2 more
core +2 more sources