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

DOI10.1016/J.CHAOS.2017.06.028zbMath1375.93062OpenAlexW2733386815MaRDI QIDQ1681690

Ashokkumar Srinivasan, Anitha Karthikeyan, Karthikeyan Rajagopal

Publication date: 24 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.06.028

zbMATH Keywords

time delaybifurcationsynchronizationfractional ordermemristormemcapacitor

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Control problems for functional-differential equations (34K35) Analytic circuit theory (94C05) Bifurcation theory of functional-differential equations (34K18) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

A general stability criterion for multidimensional fractional-order network systems based on whole oscillation principle for small fractional-order operators ⋮ What is the most suitable Lyapunov function? ⋮ On predefined-time synchronisation of chaotic systems ⋮ Influence of multiple time delays on bifurcation of fractional-order neural networks ⋮ On the relay coupling of three fractional-order oscillators with time-delay consideration: global and cluster synchronizations ⋮ Bifurcation of a fractional-order delayed malware propagation model in social networks ⋮ Investigation of dynamical properties in a chaotic flow with one unstable equilibrium: circuit design and entropy analysis ⋮ Bifurcation control for a fractional-order competition model of internet with delays ⋮ Chaotic oscillator based on memcapacitor and meminductor

Cites Work

• Unnamed Item
• Evaluating Lyapunov exponent spectra with neural networks
• A note on phase synchronization in coupled chaotic fractional order systems
• Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses
• On the chaotic synchronization of Lorenz systems with time-varying lags
• Cryptanalysis of a new image encryption algorithm based on hyper-chaos
• The adaptive synchronization of fractional-order chaotic system with fractional-order \(1<q<2\) via linear parameter update law
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Determining Lyapunov exponents from a time series
• A chaotic oscillator based on HP memristor model
• Synchronization of different fractional order time-delay chaotic systems using active control
• Hyperchaotic chameleon: fractional order FPGA implementation
• Lag synchronization of hyperchaos with application to secure communications
• A novel memcapacitor model and its application for generating chaos
• Coexisting oscillation and extreme multistability for a memcapacitor-based circuit
• Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control
• Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
• A chaotic circuit based on Hewlett-Packard memristor
• AN APPLICATION OF ADOMIAN DECOMPOSITION FOR ANALYSIS OF FRACTIONAL-ORDER CHAOTIC SYSTEMS
• A GALLERY OF CHAOTIC OSCILLATORS BASED ON HP MEMRISTOR
• Linear approximation of transfer function with a pole of fractional power
• THE FOUR-ELEMENT CHUA'S CIRCUIT
• IMPLEMENTING MEMRISTOR BASED CHAOTIC CIRCUITS
• Fractal system as represented by singularity function
• Memristor Emulator for Memristor Circuit Applications
• On the bound of the Lyapunov exponents for the fractional differential systems
• Basic Theory of Fractional Differential Equations
• A review of the decomposition method and some recent results for nonlinear equations

This page was built for publication: Bifurcation and chaos in time delayed fractional order chaotic memfractor oscillator and its sliding mode synchronization with uncertainties