CHARACTERIZATION OF STATIC BIFURCATIONS FOR MAPS IN THE FREQUENCY DOMAIN

2007 ◽  
Vol 17 (03) ◽  
pp. 975-983 ◽  
Author(s):  
LI ZENG ◽  
YI ZHAO
Keyword(s):  
Frequency Domain ◽  
Building Blocks ◽  
Complex Singularities ◽  
Smooth Maps ◽  
Continuous Time Systems ◽  
Nonlinear Maps ◽  
Frequency Domain Approach ◽  
Time Systems ◽  
Bifurcation Behavior

In this paper n-dimensional discrete-time systems with static bifurcations are considered from the viewpoint of control theory. This paper presents an adaption of available formulas for bifurcation analysis in two-dimensional continuous-time systems to the case of smooth maps using a frequency domain approach. The analyzed bifurcations are 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.

CHARACTERIZATION OF STATIC BIFURCATIONS IN THE FREQUENCY DOMAIN

2001 ◽  
Vol 11 (03) ◽  
pp. 677-688 ◽  
Author(s):  
GRISELDA R. ITOVICH ◽  
JORGE L. MOIOLA
Keyword(s):  
Frequency Domain ◽  
Building Blocks ◽  
Two Dimensional ◽  
Complex Singularities ◽  
Frequency Domain Approach ◽  
Bifurcation Behavior

In this paper two-dimensional systems with static bifurcations are considered. An analysis of the bifurcation behavior is proposed using a frequency domain approach. The analyzed bifurcations are known as elementary since they are the building blocks to understand other more complex singularities.

CHARACTERIZATION OF DYNAMIC BIFURCATIONS IN THE FREQUENCY DOMAIN

2002 ◽  
Vol 12 (01) ◽  
pp. 87-101 ◽  
Author(s):  
GRISELDA R. ITOVICH ◽  
JORGE L. MOIOLA
Keyword(s):  
Hopf Bifurcation ◽  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Frequency Domain ◽  
Building Blocks ◽  
Hopf Bifurcations ◽  
Frequency Domain Approach ◽  
Dynamic Bifurcations ◽  
Bifurcation Behavior

In this paper dynamical systems with certain degenerate Hopf bifurcations are considered. An analysis of the bifurcation behavior is proposed using several tools from the frequency domain approach. The analyzed bifurcations are the building blocks to understand the multiplicity of Hopf bifurcation points and to propose certain strategies in the future for controlling the bifurcation behavior in nonlinear systems.

Data Processing in Bifurcation Analysis of Maps with Time-Delays in the Frequency Domain

2014 ◽  
Vol 685 ◽  
pp. 634-637
Author(s):  
Li Zeng ◽  
Jun Wei Wang
Keyword(s):  
Data Processing ◽  
Frequency Domain ◽  
Time Delays ◽  
Period Doubling ◽  
Feedback Systems ◽  
Bifurcation Solution ◽  
Nonlinear Maps ◽  
The Stability ◽  
Frequency Domain Approach ◽  
Period Doubling Bifurcations

A unified frequency-domain approach to analyze the NS (Neimark-Sacker) bifurcations and the period-doubling bifurcations of nonlinear maps with time-delays in the linear feed-forward term is presented. The technique relies on the HBA (harmonic balance approximation, a very important method in data processing ) and feedback systems theory. The expressions of the bifurcation solution and the stability are derived.

scholarly journals Experiment design for improved frequency domain subspace system identification of continuous-time systems

2015 ◽  
Vol 48 (28) ◽  
pp. 886-891 ◽  
Author(s):  
Majid Khorsand Vakilzadeh ◽  
Vahid Yaghoubi ◽  
Tomas McKelvey ◽  
Thomas Abrahamsson ◽  
Lennart Ljung
Keyword(s):  
System Identification ◽  
Frequency Domain ◽  
Continuous Time ◽  
Experiment Design ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Subspace System Identification
Sign in / Sign up

Export Citation Format

Share Document