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
fDate :
9/1/1998 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
