FPGA implementation of novel fractional-order chaotic systems with two equilibriums and no equilibrium and its adaptive sliding mode synchronization

K Rajagopal, A Karthikeyan, AK Srinivasan - Nonlinear Dynamics, 2017 - Springer
This paper introduces two novel fractional-order chaotic systems with cubic nonlinear
resistor and investigates its adaptive sliding mode synchronization. Firstly the novel two …

Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses

K Rajagopal, A Akgul, S Jafari, A Karthikeyan… - Chaos, Solitons & …, 2017 - Elsevier
There are many recent investigations on chaotic systems with self-excited and hidden
attractors. In this paper we introduce a chaotic system in which the attractor can change …

Entropy analysis and image encryption application based on a new chaotic system crossing a cylinder

AK Farhan, NMG Al-Saidi, AT Maolood, F Nazarimehr… - Entropy, 2019 - mdpi.com
Designing chaotic systems with specific features is a hot topic in nonlinear dynamics. In this
study, a novel chaotic system is presented with a unique feature of crossing inside and …

A new chaotic flow with hidden attractor: The first hyperjerk system with no equilibrium

S Ren, S Panahi, K Rajagopal, A Akgul… - … für Naturforschung A, 2018 - degruyter.com
Discovering unknown aspects of non-equilibrium systems with hidden strange attractors is
an attractive research topic. A novel quadratic hyperjerk system is introduced in this paper. It …

Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors

K Rajagopal, S Jafari, A Karthikeyan… - Circuits, Systems, and …, 2018 - Springer
A newly introduced charge-controlled memcapacitor-based hyperchaotic oscillator with
coexisting chaotic attractors is investigated. Dynamic analysis of the oscillator shows that it …

Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components

K Rajagopal, A Karthikeyan, A Srinivasan - Nonlinear Dynamics, 2018 - Springer
Memristor-based chaotic and hyperchaotic systems are of great interest in the recent years,
and addition of meminductor and memcapacitors to the family has widened the applications …

Hyperchaotic chameleon: fractional order FPGA implementation

K Rajagopal, A Karthikeyan, P Duraisamy - Complexity, 2017 - Wiley Online Library
There are many recent investigations on chaotic hidden attractors although hyperchaotic
hidden attractor systems and their relationships have been less investigated. In this paper …

Chaos control in the fractional order logistic map via impulses

MF Danca, M Fečkan, N Kuznetsov - Nonlinear Dynamics, 2019 - Springer
In this paper, the chaos control in the discrete logistic map of fractional order is obtained with
an impulsive control algorithm. The underlying discrete initial value problem of fractional …

Bifurcation and chaos in time delayed fractional order chaotic memfractor oscillator and its sliding mode synchronization with uncertainties

K Rajagopal, A Karthikeyan, A Srinivasan - Chaos, Solitons & Fractals, 2017 - Elsevier
A novel chaotic memfractor oscillator with one unstable equilibriums is proposed. Various
dynamic properties of the proposed system are derived and investigated to show the …

Analysis of hidden attractors of non-equilibrium fractal-fractional chaotic system with one signum function

L Zhang, S Ahmad, A Ullah, A Akgül, EK Akgül - Fractals, 2022 - World Scientific
In 2017, Atangana proposed more generalized operators depending on two parameters:
one is fractional order (FO) and other is fractal dimension. The novel operators are defined …