An exponential jerk system, its fractional-order form with dynamical analysis and engineering application
Sign Up to like & getrecommendations! 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.… read more here.
Keywords: fractional order; jerk; jerk system; order jerk ... See more keywords
Nonlinear behavior of a novel chaotic jerk system: antimonotonicity, crises, and multiple coexisting attractors
Sign Up to like & getrecommendations! 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.… read more here.
Keywords: system; antimonotonicity; coexisting attractors; jerk system ... See more keywords
Bursting dynamics in parametrically driven memristive Jerk system
Sign Up to like & getrecommendations! 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… read more here.
Keywords: excitation frequency; system; excitation; jerk system ... See more keywords
A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via backstepping technique and MultiSim circuit design
Sign Up to like & getrecommendations! 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… read more here.
Keywords: jerk system; chaotic jerk; equilibrium points; jerk ... See more keywords
From Memristor-Modeled Jerk System to the Nonlinear Systems with Memristor
Sign Up to like & getrecommendations! 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,… read more here.
Keywords: system; jerk system; systems memristor; memristor ... See more keywords