一类衍生Lorenz混沌系统的混沌分析

Studies on Derivative Lorenz Chaotic System

CHEN Han jun¹, YANG Xue², HUANG Dong wei²

. School of Graduate, Tianjin Polytechnic University, Tianjin 300160, China;2. Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

Received:2008-05-27 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
Contact: CHEN Han jun

Abstract

Abstract: The derivative Lorenz chaotic system was studied on its basic dynamical behavior, such as Lyapunov exponent spectrum, bifurcation diagram, power spectrum, Poincare mapping and the phase portrait. Numerical simulations show that the Lorenz chaotic evolution system’s behavior can be stable, periodic, half periodic and chaotic as the parameter varies.

Key words: Lorenz chaotic evolution system, numerical simulation, Lyapunov exponent, bifurcation

CLC Number:

O411

CHEN Han jun, YANG Xue, HUANG Dong wei. Studies on Derivative Lorenz Chaotic System[J].J4, 2009, 47(03): 566-570.

[1]	MA Xiaoqi, ZHAO Zhitao. Dynamic Analysis of a Class of Plant-Herbivore Diffusion System [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1057-1065.
[2]	WANG Huimin, LIU Yanhong. Numerical Simulation of Ion-Acoustic Wave in Quantum Plasmas Based on Lattice Boltzmann Method [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1334-1338.
[3]	LI Xiaoping, HUANG Rong, LI Huilai. Dynamic Analysis of Epidemic Model with Vertical Transmission [J]. Journal of Jilin University Science Edition, 2020, 58(3): 569-574.
[4]	WANG Tao, CHEN Lu, LI Muzi, XU Rongjin, YUE Lijuan. Dynamic Analysis and State Observer Synchronization ofBroadband Hyperchaotic System [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1219-1223.
[5]	WANG Ke, WANG Dehui. Bayesian Estimation for Generalized Geometric Distributionwith Double-Parameters and Its Application [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1104-1110.
[6]	LUO Jiawei, XU Xu. Stability and Hopf Bifurcation Analysis of DelayedOscillator with DelayDependent Parameters#br# [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1337-1344.
[7]	TAO Kai, WANG Wanpeng. Lyapunov Exponent of Schrodinger Operator with High Order Skew Shift [J]. Journal of Jilin University Science Edition, 2016, 54(06): 1260-1264.
[8]	LV Tanghong, ZHOU Linhua, GAO Ruimei. Stability and Hopf Bifurcation of a Cooperative System with Multiple Time Delays [J]. Journal of Jilin University Science Edition, 2016, 54(04): 685-694.
[9]	AN Shujun, XU Aishi, FENG Yuling. Hyperchaotic Behaviors and Controlling Hyperchaosin Josephson Junctions Array [J]. Journal of Jilin University Science Edition, 2016, 54(01): 131-137.
[10]	FU Jingchao, SUN Jing, LI Pengsong. Analysis and Control of a Class of Sprott Chaotic Systemwith Simple Quadratic Nonlinearities [J]. Journal of Jilin University Science Edition, 2015, 53(03): 395-400.
[11]	ZHANG Zhiying, FENG Xiuqin, YAO Zhihai, NIU Lijun, TIAN Zuolin. Controlling Chaos of ThreeWave Coupling System in Plasma [J]. Journal of Jilin University Science Edition, 2015, 53(02): 311-315.
[12]	GAO Min. Holder Continuity of Lyapunov Exponent for AnalyticQuasi-periodic Jacobi Operators with Weak Liouville Frequency [J]. Journal of Jilin University Science Edition, 2015, 53(02): 213-223.
[13]	FENG Yuling. Control of HyperChaos in Josephson Junctions Array [J]. Journal of Jilin University Science Edition, 2013, 51(06): 1137-1142.
[14]	WEI Xiao-Hui, LI Wei-Shan, LI Hong-Liang, SHU Tong, HU Tian-Fu. An Approach on Parallel Simulation of Coupled SoluteTransport and Geochemical Reaction [J]. J4, 2013, 51(03): 453-458.
[15]	LI Xiu-Ling, WANG Hui-Min, LIU Yan-Gong. A Model of \|Signal Propagation System [J]. J4, 2009, 47(05): 921-927.

Studies on Derivative Lorenz Chaotic System

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0