Constructing conditional symmetry in symmetric
chaotic systems
Chunbiao Lia,b,∗, Julien Clinton Sprottc, Xin
Zhanga,b, Lin Chaid, Zuohua Liue
aSchool of Artificial Intelligence, Nanjing
University of Information Science & Technology, Nanjing
210044, China
bJiangsu Key Laboratory of Meteorological
Observation and Information Processing, Nanjing University of
Information Science & Technology, Nanjing
210044, China
cDepartment of Physics, University of
Wisconsin–Madison, Madison, WI 53706, USA
dSchool of Mathematical Sciences,
University of Jinan, Jinan 250022, China
eState Key Laboratory of Coal Mine Disaster
Dynamics and Control, Chongqing University, Chongqing, 400044,
China
Received 7 August 2021
Revised 2 December 2021
Accepted 9 December 2021
Available online 27 December 2021
Keywords:
Offset boosting
Symmetry
Conditional symmetry
Based on the analysis of polarity balance and exhaustive
computer searching, a series of symmetric
chaotic flows is found for hosting conditional symmetry. Symmetric
structure shapes the elegant symmetric phase trajectory, and
conditional symmetry permits the convenience of embedding an extra
set
of coexisting symmetric attractors. Bifurcation analysis proves the
coexistence of two independent processes of dynamical behavior
under conditional symmetry. Circuit simulation confirms the
numerical and
theoretical analysis.
Ref: C. Li, J. C. Sprott, X. Zhang, L. Chai, Z. Liu, Chaos, Solitons
and Fractals 155, 111723-1-8 (2022)
The complete paper
is available in PDF format.
Return to Sprott's Books and Publications.