Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order

doi:10.1088/1674-1056/19/3/030203

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.

Keywords: generalized KdV equation bifurcation chaos

Received: 17 December 2008
Revised: 02 August 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Gg	(Control of chaos, applications of chaos)
	02.30.Oz	(Bifurcation theory)
	02.30.Uu	(Integral transforms)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10875078) and the Natural Science Foundation of Zhejiang Province, China (Grant No.~Y7080455).

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Pan Wei-Zhen(潘伟珍), Song Xiang-Jiong(宋向炯), and Yu Jun(俞军) Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order 2010 Chin. Phys. B 19 030203

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Chaos in the perturbed Korteweg-de Vries equation with nonlinear terms of higher order

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