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 …
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
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
one is fractional order (FO) and other is fractal dimension. The novel operators are defined …