Star Products of Quartic Maps with Two Equally High Peaks

Chin. Phys. Lett.

2000, Vol. 17

Issue (4): 252-254 DOI:

Original Articles

Star Products of Quartic Maps with Two Equally High Peaks

ZHOU Zhong¹;PENG Shou-Li^1,2

¹Center for Nonlinear Complex Systems, Department of Physics, Yunnan University, Kunming 650091 ²CCAST (World Laboratory), PO Box 8730, Beijing 100080

Cite this article:

ZHOU Zhong, PENG Shou-Li 2000 Chin. Phys. Lett. 17 252-254

Download: PDF(217KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high peaks. The star products for all doubly superstable kneading sequences in the kneading plane are presented, the generalized Feigenbaum's metric universalities such as scaling factors {α_c, α,_D, α_E} and convergent rates {δ_a,δ_η,δ_α,η} are obtained.

Keywords: 05.45.-a 03.20.+i

Published: 01 April 2000

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	03.20.+i

TRENDMD:

URL:

https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2000/V17/I4/0252

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	ZHOU Zhong
	PENG Shou-Li

Related articles from Frontiers Journals

[1]	K. Fakhar, A. H. Kara. The Reduction of Chazy Classes and Other Third-Order Differential Equations Related to Boundary Layer Flow Models[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[2]	ZHAI Liang-Jun, ZHENG Yu-Jun, DING Shi-Liang. Chaotic Dynamics of Triatomic Normal Mode Molecules[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[3]	NIU Yao-Bin, WANG Zhong-Wei, DONG Si-Wei. Modified Homotopy Perturbation Method for Certain Strongly Nonlinear Oscillators[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[4]	LIU Yan, LIU Li-Guang, WANG Hang. Study on Congestion and Bursting in Small-World Networks with Time Delay from the Viewpoint of Nonlinear Dynamics[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[5]	Paulo C. Rech. Dynamics in the Parameter Space of a Neuron Model[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[6]	YAN Yan-Zong, WANG Cang-Long, SHAO Zhi-Gang, YANG Lei. Amplitude Oscillations of the Resonant Phenomena in a Frenkel–Kontorova Model with an Incommensurate Structure[J]. Chin. Phys. Lett., 2012, 29(6): 252-254
[7]	LI Jian-Ping,YU Lian-Chun,YU Mei-Chen,CHEN Yong. Zero-Lag Synchronization in Spatiotemporal Chaotic Systems with Long Range Delay Couplings**[J]. Chin. Phys. Lett., 2012, 29(5): 252-254
[8]	JIANG Jun. An Effective Numerical Procedure to Determine Saddle-Type Unstable Invariant Limit Sets in Nonlinear Systems**[J]. Chin. Phys. Lett., 2012, 29(5): 252-254
[9]	FANG Ci-Jun,LIU Xian-Bin. Theoretical Analysis on the Vibrational Resonance in Two Coupled Overdamped Anharmonic Oscillators**[J]. Chin. Phys. Lett., 2012, 29(5): 252-254
[10]	WEI Du-Qu, LUO Xiao-Shu, ZHANG Bo. Noise-Induced Voltage Collapse in Power Systems[J]. Chin. Phys. Lett., 2012, 29(3): 252-254
[11]	SUN Mei, CHEN Ying, CAO Long, WANG Xiao-Fang. Adaptive Third-Order Leader-Following Consensus of Nonlinear Multi-agent Systems with Perturbations[J]. Chin. Phys. Lett., 2012, 29(2): 252-254
[12]	REN Sheng, ZHANG Jia-Zhong, LI Kai-Lun. Mechanisms for Oscillations in Volume of Single Spherical Bubble Due to Sound Excitation in Water[J]. Chin. Phys. Lett., 2012, 29(2): 252-254
[13]	WANG Sha, YU Yong-Guang. Generalized Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 252-254
[14]	HUANG Jia-Min, TAO Wei-Ming, XU Bo-Hou. Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise**[J]. Chin. Phys. Lett., 2012, 29(1): 252-254
[15]	WANG Can-Jun . Vibrational Resonance in an Overdamped System with a Sextic Double-Well Potential**[J]. Chin. Phys. Lett., 2011, 28(9): 252-254

Viewed

Full text

Abstract