Two-dimensional delta-operator formulated discrete-time systems: state-space realization and its coefficient sensitivity properties

1998 ◽  
Vol 46 (12) ◽  
pp. 3445-3449 ◽  
Author(s):  
K. Premaratne ◽  
M.M. Ekanayake ◽  
J.I. Suarez ◽  
P.H. Bauer
Keyword(s):  
State Space ◽  
Discrete Time ◽  
Delta Operator ◽  
Two Dimensional ◽  
State Space Realization ◽  
Discrete Time Systems ◽  
Space Realization ◽  
Time Systems

Degenerate Chenciner Bifurcation Revisited

2021 ◽  
Vol 31 (10) ◽  
pp. 2150160
Author(s):  
G. Tigan ◽  
O. Brandibur ◽  
E. A. Kokovics ◽  
L. F. Vesa
Keyword(s):  
Discrete Time ◽  
Two Dimensional ◽  
Bifurcation Diagrams ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Independent Parameters

Generic results for degenerate Chenciner (generalized Neimark–Sacker) bifurcation are obtained in the present work. The bifurcation arises from two-dimensional discrete-time systems with two independent parameters. We define in this work a new transformation of parameters, which enables the study of the bifurcation when degeneracy occurs. By the four bifurcation diagrams we obtained, new behaviors hidden by the degeneracy are brought to light.

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