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A chaotic system with two stable equilibrium points: dynamics, circuit realization and communication application

Wang, Xiong; Akgul, Akif; Çiçek, Serdar; Pham, Viet-Thanh; Hoang, Duy Vo (World Scientific, 2017)

Recent evidence suggests that a system with only stable equilibria can generate chaotic behavior. In this work, we study a chaotic system with two stable equilibrium points. The dynamics of the system is investigated via ...
A class of unexcited hyperjerk systems with megastability and its analog and microcontroller-based embedded system design

Karthikeyan, Rajagopal; Çiçek, Serdar; Pham, Viet-Thanh; Akgul, Akif; Duraisamy, Prakash (IOP Science, 2020)

Discovering chaotic systems with special features is of interest in the recent years. In this paper we introduce a new class of simple hyperjerk systems with infinitely coexisting chaotic attractors usually termed as ...
A simple snap oscillator with coexisting attractors, its Time-Delayed Form, physical realization, and communication designs

Karthikeyan, Rajagopal; Jafari, Sajad; Akgul, Akif; Karthikeyan, Anitha; Çiçek, Serdar; Shekofteh, Yasser (De Gruyter, 2018)

In this paper, we report a novel chaotic snap oscillator with one nonlinear function. Dynamic analysis of the system shows the existence of bistability. To study the time delay effects on the proposed snap oscillator, we ...
Chaotic cuttlesh: king of camouage with self-excited and hidden flows, its fractional-order form and communication designs with fractional form

Karthikeyan, Rajagopal; Çiçek, Serdar; Akgul, Akif; Jafari, Sajad; Karthikeyan, Anitha (American Institute of Mathematical Sciences, 2020)

There are many works on self-excited and hidden attractors. However the relationship between them is less investigated. In this study we present a system which can have both hidden self-excited attractors. Dynamical ...
Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design

Wang, Junxia; Rajagopal, Karthikeyan; Akgul, Akif; Çiçek, Serdar; Aricioglu, Burak (MDPI, 2021)

In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the ...