Journal
SYMMETRY-BASEL
Volume 13, Issue 6, Pages -Publisher
MDPI
DOI: 10.3390/sym13061039
Keywords
hyperchaos; multistability; offset boosting; symmetry
Categories
Funding
- National Natural Science Foundation of China (NNSFC) [61871230]
- Natural Science Foundation of Jiangsu Province [BK20181410]
- Major Program of Natural Science Foundation of Shandong Province [ZR2020KA007]
Ask authors/readers for more resources
Trigonometric functions were used to construct a 2-D symmetrical hyperchaotic map with infinitely many attractors. The multistability of the system depends on the periodicity of the trigonometric function and the initial condition, which can be triggered by an offset controller. The study explores the evolution of specific multistability triggered by initial conditions, resulting in countless symmetric and asymmetric attractors.
Trigonometric functions were used to construct a 2-D symmetrical hyperchaotic map with infinitely many attractors. The regime of multistability depends on the periodicity of the trigonometric function, which is closely related to the initial condition. For this trigonometric nonlinearity and the introduction of an offset controller, the initial condition triggers a specific multistability evolvement, in which infinitely countless symmetric and asymmetric attractors are produced. Initial condition-triggered offset boosting is explored, combined with constant controlled offset regulation. Furthermore, this symmetric map gives the sequences in various types of asymmetric attractors, in which the polarity balance is maintained by the initial condition and a negative coefficient due to the trigonometric function. Finally, as determined through the hardware implementation of STM32, the corresponding results agree with the numerical simulation.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available