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Controlling Coexisting Attractors of Conditional Symmetry

Jiangsu Collaborative Innovation Center of Atmospheric, Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information, Science and Technology, Nanjing 210044, P. R. China

E-mail Address: lta1006340081@126.com

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Chunbiao Li

http://orcid.org/0000-0002-9932-0914

Jiangsu Collaborative Innovation Center of Atmospheric, Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information, Science and Technology, Nanjing 210044, P. R. China

E-mail Address: goontry@126.com

E-mail Address: chunbiaolee@nuist.edu.cn

Corresponding author

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Sajad Jafari

Biomedical Engineering Faculty, Amirkabir University of Technology, 424 Hafez Ave, 15875-4413, Tehran, Iran

E-mail Address: sajadjafari83@gmail.com

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, and

Fuhong Min

School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, P. R. China

E-mail Address: minfuhong@njnu.edu.cn

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https://doi.org/10.1142/S0218127419502079Cited by:17 (Source: Crossref)

Abstract

Conditional symmetry is known as a new regime for providing coexisting duplicate oscillations with opposite polarity. Polarity balance can be obtained from a function for hosting conditional symmetry. In this paper, new cases of chaotic systems with conditional symmetry are coined from 1D and 2D offset boosting based on a suitable polarity adjustment. Conditional symmetric attractors are controlled effectively by a simple absolute value function, where the distance between two coexisting attractors of conditional symmetry is modified linearly by the offset boosting constant, meanwhile the size of the coexisting attractors gets controlled by the slope. Coexisting attractors of conditional symmetry are thereafter implemented based on the develop kit of STM32.

Keywords:

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