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Published in 2020 at "Soft Computing"
DOI: 10.1007/s00500-019-04373-w
Abstract: A simple jerk system with only one exponential nonlinearity is proposed and discussed. Dynamic analysis of the integer-order jerk system shows the existence of chaotic oscillations. A model for the fractional-order jerk system is derived.…
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Keywords:
fractional order;
jerk;
jerk system;
order jerk ... See more keywords
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Published in 2018 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-017-0318-6
Abstract: In this contribution, a novel Jerk system with a smooth piecewise quadratic nonlinearity is introduced. The new nonlinearity provides a similar smoothness as the cubic polynomial function, but a faster response and a simpler circuitry.…
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Keywords:
system;
antimonotonicity;
coexisting attractors;
jerk system ... See more keywords
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Published in 2020 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2020.04.009
Abstract: Abstract Compared with general nonlinear systems, multi-time scale system has complex bursting dynamics and has received widespread attention. A memristor-based Jerk system with parametric excitation is proposed in this study. As the selected excitation frequency…
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Keywords:
excitation frequency;
system;
excitation;
jerk system ... See more keywords
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Published in 2021 at "International Journal of Electrical and Computer Engineering"
DOI: 10.11591/ijece.v11i4.pp2941-2952
Abstract: This paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and…
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Keywords:
jerk system;
chaotic jerk;
equilibrium points;
jerk ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14040659
Abstract: Based on the proposed generalized memristor, a new jerk system is proposed. The complex dynamics of the system are investigated by means of bifurcation diagrams, Lyapunov exponents, and MSampEn, and rich dynamics are observed. Moreover,…
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Keywords:
system;
jerk system;
systems memristor;
memristor ... See more keywords