Decomposition of existence and stability analysis of periodic solutions of systems with impacts: Application to bipedal walking robot

2008 ◽  
Author(s):  
L. Fridman ◽  
Y. Aoustin ◽  
F. Plestan
Keyword(s):  
Stability Analysis ◽  
Periodic Solutions ◽  
Bipedal Walking ◽  
Walking Robot ◽  
Existence And Stability

Control and Stability Evaluation of the Bipedal Walking Robot AnyWalker

2018 ◽  
Vol 11 (4) ◽  
pp. 160 ◽  
Author(s):  
Igor Ryadchikov ◽  
Semyon Sechenev ◽  
Evgeny Nikulchev ◽  
Michail Drobotenko ◽  
Alexander Svidlov ◽  
...  
Keyword(s):  
Bipedal Walking ◽  
Stability Evaluation ◽  
Walking Robot

A NONLINEAR DELAY MODEL DESCRIBING THE GROWTH OF TUMOR CELLS UNDER IMMUNE SURVEILLANCE AGAINST CANCER AND ITS STABILITY ANALYSIS

2012 ◽  
Vol 05 (03) ◽  
pp. 1260017 ◽  
Author(s):  
LING CHEN ◽  
WANBIAO MA
Keyword(s):  
Stability Analysis ◽  
Hopf Bifurcation ◽  
Periodic Solutions ◽  
Tumor Cells ◽  
Local Stability ◽  
Immune Surveillance ◽  
Delay Model ◽  
Existence Of Periodic Solutions ◽  
Growth Of Tumor ◽  
Nonlinear Delay

In this paper, based on some biological meanings and a model which was proposed by Lefever and Garay (1978), a nonlinear delay model describing the growth of tumor cells under immune surveillance against cancer is given. Then, boundedness of the solutions, local stability of the equilibria and Hopf bifurcation of the model are discussed in details. The existence of periodic solutions explains the restrictive interactions between immune surveillance and the growth of the tumor cells.

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