scholarly journals An Oscillator without Linear Terms: Infinite Equilibria, Chaos, Realization, and Application

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3315
Author(s):  
Othman Abdullah Almatroud ◽  
Victor Kamdoum Tamba ◽  
Giuseppe Grassi ◽  
Viet-Thanh Pham
Keyword(s):  
Electronic Circuit ◽  
Random Number ◽  
Random Number Generator ◽  
Chaotic Attractors ◽  
Number Generator ◽  
Bifurcation Diagrams ◽  
Biomedical Image ◽  
Encryption And Decryption ◽  
Linear Elements ◽  
And Performance

Oscillations and oscillators appear in various fields and find applications in numerous areas. We present an oscillator with infinite equilibria in this work. The oscillator includes only nonlinear elements (quadratic, absolute, and cubic ones). It is different from common oscillators, in which there are linear elements. Special features of the oscillator are suitable for secure applications. The oscillator’s dynamics have been discovered via simulations and an electronic circuit. Chaotic attractors, bifurcation diagrams, Lyapunov exponents, and the boosting feature are presented while measurements of the implemented oscillator are reported by using an oscilloscope. We introduce a random number generator using such an oscillator, which is applied in biomedical image encryption. Moreover, the security and performance analysis are considered to confirm the correctness of encryption and decryption processes.

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.

True Random Source from Integratable Chaotic Circuits

2017 ◽  
Vol 2017 (DPC) ◽  
pp. 1-26
Author(s):  
Ned Corron ◽  
Marko Milosavljevic ◽  
Jon Blakely
Keyword(s):  
High Speed ◽  
Analog Circuit ◽  
Electronic Circuit ◽  
Random Number ◽  
Random Number Generator ◽  
Number Generator ◽  
Small Footprint ◽  
Chaotic Circuits ◽  
Chaotic Electronic Circuit ◽  
Markov Properties

In this talk, we describe a chaotic electronic circuit designed to realize a physical random number generator that is easily integrated. The small footprint of the circuit enables massive parallel realization to achieve high-speed, true-random bit sequences. The analog circuit can be fully characterized, and conjugacy to a symbolic shift proves the presence of chaos. The symbolic representation also provides a rigorous means to extract the maximum entropy from the chaotic device. Analysis of the circuit dynamics reveals critical tunings that yield special Markov properties, which are essential for removing correlations in the random sequences. Practically important is the presence of a sensitive circuit statistic that enables efficient feedback control to the Markov tuning. Numerical simulation and breadboard experimental results demonstrate the effectiveness of the proposed physical random number generator device.

INCREASING THE ENTROPY OF A RANDOM NUMBER GENERATOR USING n-SCROLL CHAOTIC ATTRACTORS

2007 ◽  
Vol 17 (12) ◽  
pp. 4471-4479 ◽  
Author(s):  
M. E. YALÇIN
Keyword(s):  
Chaotic Attractor ◽  
Random Number ◽  
Random Number Generator ◽  
Chaotic Attractors ◽  
Number Generator ◽  
Binary Output ◽  
Random Bit Generator

The purpose of this paper is to investigate the effect of the number of scrolls on the measure-theoretic entropy of a random bit generator (RBG) based on multiscroll chaotic attractor. The binary output of the proposed RBG is obtained by sampling the output of the generalized nonlinearity of multiscroll chaotic attractor circuit which is in fact a noninvertible function. Our numeric simulations show that the entropy of the proposed random bit generator is increased by increasing the number of scrolls.

scholarly journals Penerapan Algoritma Coupled Linear Congurential Generator (CLCG) pada Algortima Kriptografi One Time Pad (OTP) dalam Proses Mengamankan Pesan

2020 ◽  
Vol 4 (3) ◽  
pp. 841
Author(s):  
Deny Nugroho Triwibowo ◽  
Dony Ariyus
Keyword(s):  
Random Number ◽  
Random Number Generator ◽  
Advanced Technology ◽  
Security Level ◽  
Number Generator ◽  
Encryption And Decryption

Message is an idea, feeling, or thought of someone whose contents can be in the form of science, entertainment, information, advice, or propaganda. Nowadays, with the development of very advanced technology, one can exchange messages so easily and quickly without any limitations on distance and time. However, with the ease of exchanging messages there are problems that can occur, one of which is the message you want to send opens opportunities for people who want to steal data and information from the message to use it as a crime and will certainly harm certain parties. Therefore, the technique of securing messages is used by using the OTP algorithm and the CLCG random number generator so that messages sent to the security level can be guaranteed. The results of the merging of the OTP and CLCG algorithms in the encryption and decryption process found random key generator does not occur the same key loop with the same characters adjacent to the message. The use of periodic tables in the encryption process also increases the difficulty of deciphering messages because one plaintext character is replaced by many characters in the ciphertext

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