Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 57, Issue 10, Pages 803-807Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2010.2067792
Keywords
Circuit implementation; even symmetric function; grid multiwing attractor; Lorenz system
Categories
Funding
- National Natural Science Foundation of China (NSFC) [60821091, 60772158, 60572073, 10832006, 11072254, 60871025]
- National Basic Research (973) Program of China [2007CB310805]
- Natural Science Foundation of Guangdong Province [8151009001000060, 8351009001000002]
- Science and Technology Plan Project of Guangdong Province [2009B010800037]
- NSFC-Research Grants Council of Hong Kong [N-CityU107/07]
- Australian Research Council [FT0992226]
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The intrinsic dynamics of the Lorenz system are confined in the positive half-space with respect to the vertical axis due to a limiting threshold effect. To break such a threshold effect, a novel piecewise Lorenz system is introduced, equipped with a staircase function and an even symmetric piecewise-linear function. The new system is autonomous, and yet, it can generate various grid multiwing butterfly chaotic attractors without requiring any external forcing. A module-based circuit is designed for implementation, with experiments reported for verification and demonstration.
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