A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
From MaRDI portal
Publication:679225
DOI10.1016/S0016-0032(96)00089-0zbMath0868.34030MaRDI QIDQ679225
Albert C. J. Luo, Ray P. S. Han
Publication date: 27 August 1997
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
stabilitybifurcationsapproximate periodic solutionsgeneralized Duffing oscillatorquantitative prediction
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)
Related Items (9)
Invariant set, solution bounds, and linear synchronization control for Bloch chaotic systems ⋮ Numerical scheme for period-\(m\) motion of second-order nonlinear dynamical systems based on generalized harmonic balance method ⋮ Analytical and numerical approaches to characteristics of linear and nonlinear vibratory systems under piecewise discontinuous disturbances. ⋮ A general solution of the Duffing equation ⋮ ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS ⋮ Semi-analytical and numerical solutions of multi-degree-of-freedom nonlinear oscillation systems with linear coupling ⋮ ASYMMETRIC PERIODIC MOTIONS WITH CHAOS IN A SOFTENING DUFFING OSCILLATOR ⋮ Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION
Cites Work
- Unnamed Item
- Averaging using elliptic functions: Approximation of limit cycles
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- On the multi-scale analysis of strongly nonlinear forced oscillators
- On the symmetry of solutions in non-smooth dynamical systems with two constraints
- Subharmonic resonances and criteria for escape and chaos in a driven oscillator
- Chaotic motion of a horizontal impact pair
- Extension and improvement to the Krylov-Bogoliubov methods using elliptic functions
- Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions
- Bifurcations of the forced van der Pol oscillator
- Influences of harmonic coupling on bifurcations in duffing oscillator with bounded potential well
- Averaging Method Using Generalized Harmonic Functions For Strongly Non-Linear Oscillators
- An extension to the method of Kryloff and Bogoliuboff†
- A generalization of the method of harmonic balance
This page was built for publication: A quantitative stability and bifurcation analysis of the generalized Duffing oscillator with strong nonlinearity
