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  1.  2
    Fractional Order Memristor No Equilibrium Chaotic System with Its Adaptive Sliding Mode Synchronization and Genetically Optimized Fractional Order PID Synchronization.Karthikeyan Rajagopal, Laarem Guessas, Anitha Karthikeyan, Ashokkumar Srinivasan & Girma Adam - 2017 - Complexity 2017:1-19.
    This paper introduces a fractional order memristor no equilibrium chaotic system and investigates its adaptive sliding mode synchronization. Firstly the dynamic properties of the integer order memristor no equilibrium system are analyzed. The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized fractional order PID controllers are (...)
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  2.  12
    Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators.Karthikeyan Rajagopal, Anitha Karthikeyan, Prakash Duraisamy & Riessom Weldegiorgis - 2018 - Complexity 2018:1-9.
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    Hyperchaotic Chameleon: Fractional Order FPGA Implementation.Karthikeyan Rajagopal, Anitha Karthikeyan & Prakash Duraisamy - 2017 - Complexity 2017:1-16.
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    Chaotic Dynamics of an Airfoil with Higher-Order Plunge and Pitch Stiffnesses in Incompressible Flow.Karthikeyan Rajagopal, Yesgat Admassu, Riessom Weldegiorgis, Prakash Duraisamy & Anitha Karthikeyan - 2019 - Complexity 2019:1-10.
    Dynamical properties of a two-dimensional airfoil model with higher-order strong nonlinearities are investigated. Firstly, a state-space model is derived considering the plunge and pitch stiffnesses as generalized functions. Then, a stiffness function having square, cubic, and fifth-power nonlinearities is considered for both plunging and pitching stiffnesses, and the dimensionless state equations are derived. Various dynamical properties of the proposed model are investigated using equilibrium points, eigenvalues, and Lyapunov exponents. To further analyze the dynamical behavior of the system, bifurcation plots are (...)
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    Bifurcation and Chaos in Integer and Fractional Order Two-Degree-of-Freedom Shape Memory Alloy Oscillators.Karthikeyan Rajagopal, Riessom Weldegiorgis, Anitha Karthikeyan, Prakash Duraisamy & Goitom Tadesse - 2018 - Complexity 2018:1-13.
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