FEED FORWARD RESIDUE HARMONIC BALANCE METHOD FOR A QUADRATIC NONLINEAR OSCILLATOR

DOI10.1142/S0218127411029434zbMath1248.34040MaRDI QIDQ3165798

Ayt Leung, Zhongjin Guo

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Floquet theoryperiod doubling bifurcationquadratic nonlinear oscillatorfeed forward residuestotal harmonic balance method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (6)

Multi-Level Residue Harmonic Balance Method for the Transmission Loss of a Nonlinearly Vibrating Perforated Panel ⋮ TRANSITION CURVES AND BIFURCATIONS OF A CLASS OF FRACTIONAL MATHIEU-TYPE EQUATIONS ⋮ Forward residue harmonic balance for autonomous and non-autonomous systems with fractional derivative damping ⋮ Chaotic phenomena and nonlinear responses in a vibroacoustic system ⋮ Sound and vibration analysis of a nonlinear panel absorber mounted on an enclosure panel using the multi-level residue harmonic balance method ⋮ STEADY STATE SYMMETRY BREAKING IN PERIODICALLY EXCITED SYSTEMS INVOLVING TIME DELAY BY HARMONIC HOMOTOPY

Cites Work

• Application of a modified Lindstedt-Poincaré method in coupled TDOF systems with quadratic nonlinearity and a constant external excitation
• Solution for an anti-symmetric quadratic nonlinear oscillator by a modified He's homotopy perturbation method
• The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
• On the transition from regular to chaotic behaviour in the Duffing oscillator
• Quadratic non-linear oscillators
• Harmonic balance calculations by using matrices
• Solution of a quadratic nonlinear oscillator by the method of harmonic balance
• HARMONIC BALANCE AND CONTINUATION TECHNIQUES IN THE DYNAMIC ANALYSIS OF DUFFING'S EQUATION
• Phase increment analysis of damped Duffing oscillators

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