Synchronization of Two-Frequency Self-Sustained Oscillations

Author(s):  
Vadim S. Anishchenko ◽  
Tatyana E. Vadivasova ◽  
Galina I. Strelkova
2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.


2021 ◽  
Vol 913 ◽  
Author(s):  
Alessandro Bongarzone ◽  
Arnaud Bertsch ◽  
Philippe Renaud ◽  
François Gallaire

Abstract


2003 ◽  
Vol 17 (4) ◽  
pp. 590-598
Author(s):  
Sung-Ryong Koh ◽  
Yong Cho ◽  
Young J. Moon

1983 ◽  
Vol 38 (10) ◽  
pp. 1675-1681 ◽  
Author(s):  
G.R. Jerauld ◽  
Y. Vasatis ◽  
M.F. Doherty

Biology Open ◽  
2014 ◽  
Vol 3 (8) ◽  
pp. 700-710 ◽  
Author(s):  
M. M. Wilkes ◽  
J. D. Wilson ◽  
B. Baird ◽  
D. Holowka

2001 ◽  
Author(s):  
S. Dequand ◽  
S. Hulshoff ◽  
H. van Kuijk ◽  
J. Willems ◽  
A. Hirschberg

2003 ◽  
Vol 90 (9) ◽  
Author(s):  
M. Grosso ◽  
S. Crescitelli ◽  
E. Somma ◽  
J. Vermant ◽  
P. Moldenaers ◽  
...  

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