TY - CHAP
T1 - Bifurcation and Chaos in Simple Nonlinear Feedback Control Systems
AU - Tang, Wallace K. S.
PY - 2003
Y1 - 2003
N2 - This chapter is to give the bifurcation analysis and the verification of chaotic dynamics in nonlinear feedback control systems based on numerical continuation techniques and the Shil'nikov theorem. The studied system is a low-order linear autonomous system with a simple nonlinear controller of the form g(v) = v|v|. The chaotic dynamics generated in this kind of systems are demonstrated by both computer simulation and circuitry implementation.
AB - This chapter is to give the bifurcation analysis and the verification of chaotic dynamics in nonlinear feedback control systems based on numerical continuation techniques and the Shil'nikov theorem. The studied system is a low-order linear autonomous system with a simple nonlinear controller of the form g(v) = v|v|. The chaotic dynamics generated in this kind of systems are demonstrated by both computer simulation and circuitry implementation.
U2 - 10.1007/978-3-540-44925-6_5
DO - 10.1007/978-3-540-44925-6_5
M3 - 12_Chapter in an edited book (Author)
SN - 3-540-40341-8
T3 - Lecture Notes in Control and Information Sciences
SP - 83
EP - 98
BT - Bifurcation Control
A2 - Chen, Guanrong
A2 - Hill, David J.
A2 - Yu, Xinghuo
PB - Springer-Verlag Berlin Heidelberg
ER -