Fractional Rayleigh-Duffing-like system and its synchronization

DOI10.1007/S11071-012-0521-0zbMath1268.34089OpenAlexW2024198800MaRDI QIDQ354304

Yan-Lan Zhang, Mao-Kang Luo

Publication date: 18 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0521-0

zbMATH Keywords

synchronizationfractional orderMelnikov function methodRayleigh-Duffing-like system

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Synchronization of fractional-order chaotic systems with multiple delays by a new approach ⋮ Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation ⋮ The Coexisting Behaviors on the Boundary of a Duffing-like Oscillator with Signum Nonlinearity and Its FPGA-Based Implementation ⋮ A new method of fractional dynamics, i.e., fractional generalized Hamilton method with additional terms, and its applications to physics ⋮ Fractional modified Duffing-Rayleigh system and its synchronization

Uses Software

• Sprott's Software

Cites Work

• Unnamed Item
• Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator
• Control of a class of fractional-order chaotic systems via sliding mode
• Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rössler systems
• Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
• Synchronization of a new fractional-order hyperchaotic system
• Synchronization of different fractional order chaotic systems using active control
• Chaos synchronization for a class of nonlinear oscillators with fractional order
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Generalized projective synchronization of the fractional-order Chen hyperchaotic system
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos in fractional-order autonomous nonlinear systems.
• Chaos in Chen's system with a fractional order
• Strange attractors and chaos control in periodically forced complex Duffing's oscillators
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Chaos and mixed synchronization of a new fractional-order system with one saddle and two stable node-foci
• Generating chaos via x|x|
• Synchronization in chaotic systems
• Analysis of fractional differential equations

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