Identifiability and Controllability Problems for Linear Second-Order Autonomous Systems of Neutral Type

2005 ◽  
Vol 41 (4) ◽  
pp. 479-488
Author(s):  
V. V. Karpuk ◽  
A. V. Metel’skii ◽  
S. A. Minyuk
Keyword(s):  
Autonomous Systems ◽  
Neutral Type ◽  
Second Order ◽  
Controllability Problems

scholarly journals Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Ming Zhang ◽  
Wei Chen ◽  
MMA El-Sheikh ◽  
RA Sallam ◽  
AM Hassan ◽  
...  
Keyword(s):  
Neutral Type ◽  
Second Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

scholarly journals Data assimilation for massive autonomous systems based on a second-order adjoint method

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
Shin-ichi Ito ◽  
Hiromichi Nagao ◽  
Akinori Yamanaka ◽  
Yuhki Tsukada ◽  
Toshiyuki Koyama ◽  
...  
Keyword(s):  
Data Assimilation ◽  
Adjoint Method ◽  
Autonomous Systems ◽  
Second Order

Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays

2021 ◽  
Vol 31 (12) ◽  
pp. 2150180
Author(s):  
Zalman Balanov ◽  
Joseph Burnett ◽  
Wiesław Krawcewicz ◽  
Huafeng Xiao
Keyword(s):  
Periodic Solutions ◽  
Autonomous Systems ◽  
Global Bifurcation ◽  
Degree Theory ◽  
Second Order ◽  
Equivariant Degree ◽  
Commensurate Delays ◽  
Spatio Temporal ◽  
Second Order Systems ◽  
The Right

Global bifurcation and spatio-temporal patterns of periodic solutions (with prescribed period) to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer/Leray–Schauder [Formula: see text]-equivariant degree theory. Here, [Formula: see text] is related to the reversal symmetry combined with the autonomous form of the system, [Formula: see text] reflects extra spacial symmetries of the system, and [Formula: see text] is related to the oddness of the right-hand side. Abstract results are supported by a concrete example with [Formula: see text] — the dihedral group of order 12.

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