A new chaotic jerk system with two quadratic nonlinearities and its applications to electronic circuit implementation and image encryption

2018 ◽  
Vol 58 (2) ◽  
pp. 89 ◽  
Author(s):  
Sundarapandian Vaidyanathan ◽  
Akif Akgul ◽  
Sezgin Kacar
Keyword(s):  
Image Encryption ◽  
Electronic Circuit ◽  
Circuit Implementation ◽  
Quadratic Nonlinearities ◽  
Electronic Circuit Implementation ◽  
Jerk System

A New Dynamic System Analysis

2013 ◽  
Vol 392 ◽  
pp. 222-226
Author(s):  
Bao Liang Mi ◽  
Guo Zeng Wu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Dynamic System ◽  
Bifurcation Diagram ◽  
Chaotic System ◽  
System Analysis ◽  
Electronic Circuit ◽  
Circuit Implementation ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation

A new four-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. The dynamical behaviours of this system are proved not only by performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit implementation.

scholarly journals A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Jiancheng Liu ◽  
Karthikeyan Rajagopal ◽  
Tengfei Lei ◽  
Sezgin Kaçar ◽  
Burak Arıcıoğlu ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Electronic Circuit ◽  
Random Number ◽  
System Modeling ◽  
Random Number Generator ◽  
Superior Performance ◽  
Dynamical Analysis ◽  
Number Generator ◽  
Circuit Implementation ◽  
Jerk System

When revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic dynamical analysis, an electronic circuit was implemented, and the phase trajectory in the oscilloscope agrees with the numerical simulation. Further exploration shows that this unique chaotic system has superior performance as a random number generator or in voice encryption application.

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