CHAOS and limit cycle in Duffing's equation

DOI10.1016/0016-0032(90)90015-BzbMath0703.58040MaRDI QIDQ916184

Xiaoguang Sun, Yu-Hsiung Ku

Publication date: 1990

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

zbMATH Keywords

chaoslimit cyclesdynamical systemsDuffing's equationphase plane plot

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (6)

FUZZY SLIDING-MODE CONTROL OF FRACTIONAL-ORDER CHAOTIC SYSTEMS SUBJECT TO UNCERTAIN CONTROL COEFFICIENTS AND INPUT SATURATION ⋮ Numerical solution of Duffing equation by using an improved Taylor matrix method ⋮ CHAOS in Van der Pol's equation ⋮ A nonconvex dissipative system and its applications. I ⋮ Computing the uncomputable; or, the discrete charm of second-order simulacra ⋮ Monotonous property of non-oscillations of the damped Duffing's equation

Cites Work

• Unnamed Item
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• On nonlinear systems - CHAOS
• 'Strange' phenomena in dynamical systems and their physical implications
• Bifurcation theorems and limit cycles in nonlinear systems. II
• A nonlinear oscillator with a strange attractor
• A magnetoelastic strange attractor

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