Chaos detection of Duffing system with fractional-order derivative by Melnikov method

DOI10.1063/1.5124367zbMath1429.34041OpenAlexW2995410159WikidataQ92362358 ScholiaQ92362358MaRDI QIDQ5213516

Jiangchuan Niu, Shao-Pu Yang, Ruyu Liu, Yong-Jun Shen

Publication date: 3 February 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5124367

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)

Related Items (6)

Relaxation and mixed mode oscillations in a shape memory alloy oscillator driven by parametric and external excitations ⋮ A new nonlinear Duffing system with sequential fractional derivatives ⋮ Robust stabilization of nonlinear fractional order interconnected systems based on T-S fuzzy model ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Unnamed Item ⋮ Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative

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