scholarly journals A simple memristive jerk system

2021 ◽  
Author(s):  
Chunbiao Li ◽  
Julien Clinton Sprott ◽  
Wesley Joo‐Chen Thio ◽  
Zhenyu Gu
Keyword(s):  
Jerk System

Chaotic Jerk System with Hump Structure for Text and Image Encryption Using DNA Coding

2021 ◽  
Author(s):  
V. R. Folifack Signing ◽  
T. Fozin Fonzin ◽  
M. Kountchou ◽  
J. Kengne ◽  
Z. T. Njitacke
Keyword(s):  
Image Encryption ◽  
Text And Image ◽  
Dna Coding ◽  
Jerk System

Emulate the chaotic flows of fractional jerk system to scramble the sound and image memo with circuit execution

2020 ◽  
Vol 95 (6) ◽  
pp. 065217 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Tooba Hameed ◽  
Muhammad Ali Qureshi ◽  
Saeed Akbar ◽  
Abdullah Khamis Alzahrani
Keyword(s):  
Chaotic Flows ◽  
Jerk System

Chaos Control for a Fractional-Order Jerk System via Time Delay Feedback Controller and Mixed Controller

2021 ◽  
Vol 5 (4) ◽  
pp. 257
Author(s):  
Changjin Xu ◽  
Maoxin Liao ◽  
Peiluan Li ◽  
Lingyun Yao ◽  
Qiwen Qin ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Chaos Control ◽  
Chaotic Behavior ◽  
Control Strategies ◽  
Feedback Controller ◽  
Research Approach ◽  
Controlling Chaos ◽  
The Stability ◽  
Jerk System

In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon. In order to suppress the chaotic behavior of the fractional-order Jerk system, we design two control strategies. Firstly, we design an appropriate time delay feedback controller to suppress the chaos of the fractional-order Jerk system. The delay-independent stability and bifurcation conditions are established. Secondly, we design a suitable mixed controller, which includes a time delay feedback controller and a fractional-order PDσ controller, to eliminate the chaos of the fractional-order Jerk system. The sufficient condition ensuring the stability and the creation of Hopf bifurcation for the fractional-order controlled Jerk system is derived. Finally, computer simulations are executed to verify the feasibility of the designed controllers. The derived results of this study are absolutely new and possess potential application value in controlling chaos in physics. Moreover, the research approach also enriches the chaos control theory of fractional-order dynamical system.

A Unique Jerk System with Abundant Dynamics: Symmetric or Asymmetric Bistability, Tristability, and Coexisting Bubbles

2020 ◽  
Vol 50 (2) ◽  
pp. 153-163 ◽  
Author(s):  
Ying Li ◽  
Yicheng Zeng ◽  
Jingfang Zeng
Keyword(s):  
Jerk System

A New Chaotic Jerk System with Double-Hump Nonlinearity

2020 ◽  
Vol 29 (14) ◽  
pp. 2050232
Author(s):  
Debabrata Biswas
Keyword(s):  
Chaotic Regime ◽  
Third Order ◽  
Parameter Mismatch ◽  
Chaotic Response ◽  
Variation Of Parameters ◽  
Electronic Hardware ◽  
Jerk System ◽  
Lyapunov Exponent Spectrum ◽  
Two Parameter ◽  
Good Analogy

In this paper, we report a new third-order chaotic jerk system with double-hump (bimodal) nonlinearity. The bimodal nonlinearity is of basic interest in biology, physics, etc. The proposed jerk system is able to exhibit chaotic response with proper choice of parameters. Importantly, the chaotic response is also obtained from the system by tuning the nonlinearity preserving its bimodal form. We analytically obtain the symmetry, dissipativity and stability of the system and find the Hopf bifurcation condition for the emergence of oscillation. Numerical investigations are carried out and different dynamics emerging from the system are identified through the calculation of eigenvalue spectrum, two-parameter and single parameter bifurcation diagrams, Lyapunov exponent spectrum and Kaplan–Yorke dimension. We identify that the form of the nonlinearity may bring the system to chaotic regime. Effect of variation of parameters that controls the form of the nonlinearity is studied. Finally, we design the proposed system in an electronic hardware level experiment and study its behavior in the presence of noise, fluctuations, parameter mismatch, etc. The experimental results are in good analogy with that of the analytical and numerical ones.

scholarly journals A New 3-D Chaotic Jerk System with Four Nonlinear Terms, its Backstepping Synchronization and Circuit Simulation

2020 ◽  
Vol 1477 ◽  
pp. 022017
Author(s):  
K. Lamamra ◽  
S. Vaidyanathan ◽  
W. T. Putra ◽  
E. Darnila ◽  
A. Sambas ◽  
...  
Keyword(s):  
Circuit Simulation ◽  
Jerk System

An exponential jerk system, its fractional-order form with dynamical analysis and engineering application

2019 ◽  
Vol 24 (10) ◽  
pp. 7469-7479 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Akif Akgul ◽  
Sajad Jafari ◽  
Anitha Karthikeyan ◽  
Unal Cavusoglu ◽  
...  
Keyword(s):  
Fractional Order ◽  
Engineering Application ◽  
Dynamical Analysis ◽  
Order Form ◽  
Jerk System

scholarly journals Generation of 3-D Grid Multi-Scroll Chaotic Attractors Based on Sign Function and Sine Function

Electronics ◽  
2020 ◽  
Vol 9 (12) ◽  
pp. 2145
Author(s):  
Pengfei Ding ◽  
Xiaoyi Feng ◽  
Lin Fa
Keyword(s):  
Chaotic System ◽  
Circuit Simulation ◽  
Equilibrium Points ◽  
Time Shift ◽  
Chaotic Attractors ◽  
Sine Function ◽  
Sign Function ◽  
Simulation Results ◽  
Jerk System ◽  
Lyapunov Exponent Spectrum

A three directional (3-D) multi-scroll chaotic attractors based on the Jerk system with nonlinearity of the sine function and sign function is introduced in this paper. The scrolls in the X-direction are generated by the sine function, which is a modified sine function (MSF). In addition, the scrolls in Y and Z directions are generated by the sign function series, which are the superposition of some sign functions with different time-shift values. In the X-direction, the scroll number is adjusted by changing the comparative voltages of the MSF, and the ones in Y and Z directions are regulated by the sign function. The basic dynamics of Lyapunov exponent spectrum, phase diagrams, bifurcation diagram and equilibrium points distribution were studied. Furthermore, the circuits of the chaotic system are designed by Multisim10, and the circuit simulation results indicate the feasibility of the proposed chaotic system for generating chaotic attractors. On the basis of the circuit simulations, the hardware circuits of the system are designed for experimental verification. The experimental results match with the circuit simulation results, this powerfully proves the correctness and feasibility of the proposed system for generating 3-D grid multi-scroll chaotic attractors.

A True Random Number Generator based on a Chaotic Jerk System

2019 ◽  
Author(s):  
R. Chase Harrison ◽  
Benjamin K. Rhea ◽  
Ariel N. Ramsey ◽  
Robert N. Dean ◽  
J. Edmon Perkins
Keyword(s):  
Random Number ◽  
Random Number Generator ◽  
Number Generator ◽  
True Random Number Generator ◽  
Jerk System

Nonlinear behavior of a novel chaotic jerk system: antimonotonicity, crises, and multiple coexisting attractors

2017 ◽  
Vol 6 (2) ◽  
pp. 468-485 ◽  
Author(s):  
Jacques Kengne ◽  
V. R. Folifack Signing ◽  
J. C. Chedjou ◽  
G. D. Leutcho
Keyword(s):  
Nonlinear Behavior ◽  
Coexisting Attractors ◽  
Multiple Coexisting Attractors ◽  
Jerk System
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