Title :
Characterization of cusp bifurcation for maps in the frequency domain
Author :
Zeng, Li ; Wang, Junwei
Author_Institution :
Dept. of Appl. Math., Guangdong Univ. of Foreign Studies, Guangzhou, China
Abstract :
In this paper n-dimensional discrete-time systems with cusp bifurcation is considered from the viewpoint of control theory. This paper presents a formula for codimension-2 bifurcation-cusp bifurcation analysis using a frequency domain approach. The analyzed bifurcation is one of the building blocks to understand other more complex singularities and to propose certain methods for controlling the bifurcation behavior in nonlinear maps in the future.
Keywords :
bifurcation; discrete time systems; frequency-domain analysis; multidimensional systems; nonlinear control systems; codimension-2 bifurcation-cusp bifurcation analysis; control theory; frequency domain approach; n-dimensional discrete-time system; nonlinear maps; Bifurcation; Eigenvalues and eigenfunctions; Frequency domain analysis; Jacobian matrices; Mathematical model; Stability analysis; codimension; cusp bifurcation; discrete system; frequency domain approach;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777591
