DocumentCode
1435289
Title
Hyperchaos from a 4-D manifold piecewise-linear system
Author
Tsubone, Tadashi ; Saito, Toshimichi
Author_Institution
Dept. of Electr. & Electron. Eng., Hosei Univ., Koganei, Japan
Volume
45
Issue
9
fYear
1998
fDate
9/1/1998 12:00:00 AM
Firstpage
889
Lastpage
894
Abstract
A piecewise-linear 4-D autonomous system with hyperchaotic behavior is proposed. The system is analyzed by constructing a 2-D return map. We describe this map explicitly and give theoretical evidence for hyperchaos generation. An implementation example is also provided, and its chaotic behavior is demonstrated
Keywords
Lyapunov methods; chaos; nonlinear dynamical systems; piecewise-linear techniques; state-space methods; 2D return map; 4D manifold piecewise-linear system; autonomous system; chaotic behavior; hyperchaos; Chaotic communication; Circuits; Eigenvalues and eigenfunctions; Equations; Hysteresis; Nonlinear control systems; Nonlinear dynamical systems; Piecewise linear techniques; State-space methods; Switches;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.721254
Filename
721254
Link To Document