ISSN:
1573-269X
Keywords:
Numerical and geometrical techniques
;
local and global bifurcations
;
chaos
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract An asymmetric nonlinear oscillator representative of the finite forced dynamics of a structural system with initial curvature is used as a model system to show how the combined use of numerical and geometrical analysis allows deep insight into bifurcation phenomena and chaotic behaviour in the light of the system global dynamics. Numerical techniques are used to calculate fixed points of the response and bifurcation diagrams, to identify chaotic attractors, and to obtain basins of attraction of coexisting solutions. Geometrical analysis in control-phase portraits of the invariant manifolds of the direct and inverse saddles corresponding to unstable periodic motions is performed systematically in order to understand the global attractor structure and the attractor and basin bifurcations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00053711
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