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ZHOUCHAO WEI1,* , JUNXIA WANG1
This paper investigates a simplified five-term chaotic system with exponential quadratic term by detailed theoretical analysis as well as dynamic simulation, including some basic dynamical properties, Lyapunov exponent spectra, Poincaré mapping, fractal dimension, bifurcation diagram, routes to chaos, and forming mechanisms of its compound structures. The obtained results show clearly that the system with two non-hyperbolic equilibria for all a > 0 and b>1 deserves a further detailed investigation..
Chaos, Exponential quadratic term, Lyapunov exponent, Bifurcation diagram.
ZHOUCHAO WEI, JUNXIA WANG, Non-existence of Shilnikov chaos in a simple five-term chaotic system with exponential quadratic term, Optoelectronics and Advanced Materials - Rapid Communications, 6, 9-10, September-October 2012, pp.926-930 (2012).
Submitted at: April 1, 2012
Accepted at: Sept. 20, 2012
Optoelectronics and Advanced Materials - Rapid Communications
(2023): 0.5 - 2023 Journal Citation Reports (Clarivate Analytics, 2024)
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