A Chaotic System with Infinite Number of Equilibria Located on an Exponential Curve and Its Chaos-Based Engineering Application

被引：24

作者：

Mobayen, Saleh ^{[1
]}

Volos, Christos K. ^{[2
]}

Kacar, Sezgin ^{[3
]}

Cavusoglu, Unal ^{[4
]}

Vaseghi, Behrouz ^{[5
]}

机构：

[1] Univ Zanjan, Fac Engn, Dept Elect Engn, Zanjan, Iran

[2] Aristotle Univ Thessaloniki, Dept Phys, GR-54124 Thessaloniki, Greece

[3] Sakarya Univ, Dept Elect & Elect Engn, Sakarya, Turkey

[4] Sakarya Univ, Dept Comp Engn, Sakarya, Turkey

[5] Islamic Azad Univ, Dept Elect Engn, Abhar Branch, Abhar, Iran

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 09期

关键词：

Chaotic system; infinite number of equilibria; equilibrium point; dissipative system; image encryption; S-BOX; SYNCHRONIZATION; LINE; ATTRACTOR; UNCERTAIN; NETWORKS; FLOWS;

D O I：

10.1142/S0218127418501122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proposes a novel chaotic system with infinite number of equilibria located on an exponential curve. It signifies an exciting category of dynamical systems which display many features of regular and chaotic motions. The proposed chaotic system belongs to the general category of chaotic systems with hidden attractors. Moreover, some theoretical analyses of the chaotic system's dynamical characteristics are presented. Using the developed chaotic system, the new random number generator and encryption algorithm have been designed. Encryption application and security analysis are presented verifying its feasibility.

引用

页数：14

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