Amplitude modulation and synchronization of fractional-order memristor-based Chua's circuit

DOI10.1155/2013/758676zbMath1421.93104OpenAlexW2087301133WikidataQ58917376 ScholiaQ58917376MaRDI QIDQ2319081

Khaled Moaddy, Ishak Hashim, Ahmed G. Radwan

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/758676

zbMATH Keywords

nonlinear controlLyapunov stabilitysynchronizationamplitude modulationchaotic generatorsfractional-order Chua's circuit

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Analytic circuit theory (94C05) Control/observation systems governed by ordinary differential equations (93C15) Modulation and demodulation in information and communication theory (94A14) Fractional ordinary differential equations (34A08)

Related Items

On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control, Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua's circuit, Adomian Decomposition Algorithm for Studying Incommensurate Fractional-Order Memristor-Based Chua’s System, Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components, Control and Synchronization of Fractional-Order Chaotic Systems, A novel chaotic system without equilibrium: dynamics, synchronization, and circuit realization, Generalized dynamic switched synchronization between combinations of fractional-order chaotic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The fractional-order modeling and synchronization of electrically coupled neuron systems
• A generalized \(q\)-Mittag-Leffler function by \(q\)-Caputo fractional linear equations
• Existence and uniqueness of solution for a class of nonlinear fractional order differential equations
• Stability and non-standard finite difference method of the generalized Chua's circuit
• Synchronization of different fractional order chaotic systems using active control
• Antisynchronization of nonidentical fractional-order chaotic systems using active control
• Secure communication using a compound signal from generalized synchronizable chaotic systems
• An adaptive chaos synchronization scheme applied to secure communication
• Anti-phase synchronization in coupled map lattices
• On chaos synchronization of fractional differential equations
• Chaotic synchronization with gap junction of multi-neurons in external electrical stimulation
• Synchronization in fractional-order differential systems
• Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
• A new approach to communications using chaotic signals
• The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
• Synchronization in chaotic systems
• SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
• Phase and anti-phase synchronization of two chaotic systems by using active control