Symbolic computation of normal forms for resonant double Hopf bifurcations using a perturbation technique

Journal of Sound and Vibration

Volumn 247, Issue 4, 2001, Pages 615-632

  Yu, P ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BIFURCATION (MATHEMATICS); COMPUTER AIDED SOFTWARE ENGINEERING; COMPUTER PROGRAMMING; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES;

COMPUTER ALGEBRAIC SYSTEM; NONLINEAR TRANSFORMATIONS;

VIBRATIONS (MECHANICAL);

EID: 0035525675     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3732     Document Type: Article

References (18)

1. Normal forms and center manifold calculations on MACSYMA
2. Computation of normal forms
3. Computation of normal forms via a perturbation technique
4. Computation of normal forms of differential equations associated with non-semi-simple zero eigenvalues
5. Symbolic software development for computing the normal forms of double Hopf bifurcation
6. Vibration analysis on a thin plate with the aid of computation of normal forms
7. On the relation between the methods of averaging and normal forms
8. Computing normal forms for vibration analysis of nonlinear oscillators via multiple time scales
9. Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales
10. Analysis of non-linear dynamics and bifurcations of a double pendulum
11. On phase-locked motions associated with strong resonance
12. A method for computing center manifold and normal forms