A New Chaotic Dynamic System Research

Gui Qing Zhao; Guo Zeng Wu

doi:10.4028/www.scientific.net/AMM.392.227

Paper Titles

Automation of Parametric Modeling for Grillage Method
p.210

ε-Uniform Convergence of the Hybrid Difference Scheme on the Shishkin Mesh for Singularly Perturbed Problems
p.214

A Method for Determining Acceleration Factor of Models with Bathtub Failure Rate
p.218

A New Dynamic System Analysis
p.222

A New Chaotic Dynamic System Research
p.227

A New Chaotic System Family Dynamics Analysis and Circuit Implementation
p.232

Applying Case-Based Reasoning Approach to Assembly Part Design
p.237

BSDEs Driven by Continuous Semi-Martingales under Locally Lipschitz Condition
p.242

The Research of Method for Line of Sight Stabilization for Electro-Optical Tracking Equipment Based on the Integrated Navigation System
p.249

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 392A New Chaotic Dynamic System Research

A New Chaotic Dynamic System Research

Abstract:

A new four-dimensional chaotic system is presented in this paper. Some basic dynamical Properties of this chaotic system are investigated by means of Poincaré mapping, Lyapunov exponents and bifurcation diagram. It is a new phenomenon that the phase plane attractors can achieve opposite and topology of exactly by changing the parameter symbol of c.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volume 392)

Pages:

227-231

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.392.227

Citation:

Cite this paper

Online since:

September 2013

Authors:

Gui Qing Zhao, Guo Zeng Wu

Keywords:

Circuit, Lyapunov Exponent Spectrum, Poincare Mapping

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Lorenz E N J. Atmos. Sci. 20 130. ( 1963).

Google Scholar

[2] Matsumoto T, Chua L O and Tanaks S Phys. Rev. A 30 1155(1984).

Google Scholar

[3] L.P. Shil'nikov, Chua's circuit: Rigorous results and future problems, IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 40, no. 10, p.784–786, Oct. (1993).

DOI: 10.1109/81.246153

Google Scholar

[4] L.O. Chua,M. Komuro, and T. Matsumoto, The double scroll family, IEEE Trans. Circuits Syst., vol. CAS-33, no. 11, p.1072–1118, Nov. (1986).

DOI: 10.1109/tcs.1986.1085869

Google Scholar

[5] Qi G, Du S, Chen G, Chen Z and Yuan Z Chaos, Solitons and Fractals 23 1671(2005).

DOI: 10.1016/s0960-0779(04)00431-x

Google Scholar

[6] Qi G, Chen G and Zhang Y Phys. Lett. A 352 386(2006).

Google Scholar

[7] Liu L, Liu C and Zhang Y B J. Phys.: Conf. Ser. 96 012172(2008).

Google Scholar

[8] Qi G, Wyk B J and Wyk M A Chaos, Solitons and Fractals 40 2016(2009).

DOI: 10.1016/j.chaos.2007.09.095

Google Scholar

[9] Fangqiang Wang, Congxin Liu, synchronization of liu chaotic system based pn linear feedback control and its experimental verification, Chin. Phys. Soc. (2006).

Google Scholar

[10] Sara Dadras and Hamid Reza Moneni, Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system, Chin. PhyB. （2010）.

DOI: 10.1088/1674-1056/19/6/060506

Google Scholar