Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach

Lu, J, Yu, X and Chen, G 2003, 'Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach', IEEE Transactions on Circuits and Systems. Part 2: Express Briefs, vol. 50, no. 2, pp. 198-207.


Document type: Journal Article
Collection: Journal Articles

Title Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach
Author(s) Lu, J
Yu, X
Chen, G
Year 2003
Journal name IEEE Transactions on Circuits and Systems. Part 2: Express Briefs
Volume number 50
Issue number 2
Start page 198
End page 207
Total pages 10
Publisher IEEE
Abstract This paper presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors with n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.
DOI - identifier 10.1109/TCSI.2002.808241
Copyright notice © 2003 IEEE
ISSN 1057-7122
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