Journal
SYMMETRY-BASEL
Volume 13, Issue 6, Pages -Publisher
MDPI
DOI: 10.3390/sym13061047
Keywords
amplitude control; coexisting symmetric attractors; hyperchaotic map
Categories
Funding
- National Natural Science Foundation of China [61871230]
- Natural Science Foundation of Jiangsu Province [BK20181410]
- Provincial Key Training Programs of Innovation and Entrepreneurship for Undergraduates [201910300053Z]
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An absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The study discusses two regimes of amplitude control and captures symmetrical pairs of coexisting attractors. Circuit implementation by the platform STM32 is consistent with numerical exploration and theoretical observation.
An absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The nonlinear absolute term brings the convenience for amplitude control. Two regimes of amplitude control including total and partial amplitude control are discussed, where the attractor can be rescaled separately by two independent coefficients. Symmetrical pairs of coexisting attractors are captured by corresponding initial conditions. Circuit implementation by the platform STM32 is consistent with the numerical exploration and the theoretical observation. This finding is helpful for promoting discrete map application, where amplitude control is realized in an easy way and coexisting symmetrical sequences with opposite polarity are obtained.
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