Journal
CHAOS
Volume 29, Issue 5, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5097998
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Funding
- National Natural Science Foundation of China (NNSFC) [61871230, 61671248]
- Natural Science Foundation of Jiangsu Province [BK20181410]
- Startup Foundation for Introducing Talent of NUIST [2016205]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
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When the offset boosting technique is introduced into a chaotic system for attractor shifting, the number of coexisting attractors in the system can be doubled under the application of the employed absolute-value function. Consequently, the offset booster becomes a doubling parameter determining the distance between the two coexisting attractors, and therefore can polymerize these attractors to become a pseudo-multi-scroll attractor. This paper demonstrates that the attractor doubling operation can be applied to any dimension of the system and can also be nested at any time leading to the geometric growth of the coexisting attractors. Furthermore, various regimes of coexistence can be merged and composed together to reproduce an integrated attractor in the system.
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