2018
DOI: 10.1088/1757-899x/332/1/012010
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A new two-scroll chaotic attractor with three quadratic nonlinearities, its adaptive control and circuit design

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Cited by 16 publications
(9 citation statements)
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“…Some classical examples of two-scroll chaotic attractors can be cited as Lorenz system [43], Lü system [44] and Tigan system [45]. Some recent examples of two-scroll chaotic attractors can be mentioned as Lien system [46] [59]. In this paper, we report the finding of a new four-scroll chaotic system with four nonlinear terms.…”
Section: Introductionmentioning
confidence: 82%
“…Some classical examples of two-scroll chaotic attractors can be cited as Lorenz system [43], Lü system [44] and Tigan system [45]. Some recent examples of two-scroll chaotic attractors can be mentioned as Lien system [46] [59]. In this paper, we report the finding of a new four-scroll chaotic system with four nonlinear terms.…”
Section: Introductionmentioning
confidence: 82%
“…Substituting (27) into (26), we get which is a negative definite function on R 3 . Hence, by the Lyapunov stability theory [34], it follows that e i (t) ⟶ 0 as t ⟶ ∞ for i = 1, 2, 3.…”
Section: Adaptive Synchronization Of the Identical 3-d Novel Chaotic mentioning
confidence: 99%
“…Hence, we have proved the following theorem. (15) and (16) with unknown parameters are globally and exponentially synchronized for all initial conditions by the adaptive feedback control law (20) and the parameter update law (27), were k 1 , k 2 , k 3 are positive constants.…”
Section: Adaptive Synchronization Of the Identical 3-d Novel Chaotic mentioning
confidence: 99%
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