Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order |
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Authors: | Pan Wei-Zhen Song Xiang-Jiong and Yu Jun |
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Institution: | Department of Physics, Shaoxing University, Shaoxing 312000, China |
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Abstract: | The dynamical behaviour of the generalized Korteweg-de
Vries (KdV) equation under a periodic perturbation is investigated
numerically. The bifurcation and chaos in the system are observed by
applying bifurcation diagrams, phase portraits and Poincaré maps.
To characterise the chaotic behaviour of this system, the spectra of
the Lyapunov exponent and Lyapunov dimension of the attractor are also
employed. |
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Keywords: | generalized KdV equation bifurcation chaos |
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