scholarly journals On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point

2015 ◽  
Vol 76 ◽  
pp. 271-299 ◽  
Author(s):  
Lev Lerman ◽  
Anna Markova
Keyword(s):  
Fixed Point ◽  
Homoclinic Orbit ◽  
Symplectic Dynamics

Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems

2003 ◽  
Vol 13 (09) ◽  
pp. 2603-2622 ◽  
Author(s):  
J. Klaus ◽  
J. Knobloch
Keyword(s):  
Fixed Point ◽  
Homoclinic Orbit ◽  
Vector Fields ◽  
Critical Parameter ◽  
Center Manifold ◽  
Homoclinic Orbits ◽  
Reversible Systems ◽  
Lin's Method ◽  
Two Parameter ◽  
Lin’S Method

We consider two-parameter families of reversible vector fields having (at the critical parameter value) a homoclinic orbit to a nonhyperbolic fixed point. The nonhyperbolicity is due to a pair of purely imaginary eigenvalues. We give a complete description of the bifurcating one-homoclinic orbits to the center manifold. For that purpose we adapt Lin's method.

Mental equilibrium: Identifying fixed-point attractors in the stream of thought

2003 ◽  
Author(s):  
Robin R. Vallacher ◽  
Andrzej Nowak ◽  
Matthew Rockloff
Keyword(s):  
Fixed Point

ON THE RANDOM FIXED POINT THEOREMS IN ABSTRACT SPACE

1981 ◽  
Vol 1 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Shaozhong Chen ◽  
Zuoshu Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Abstract Space ◽  
Random Fixed Point

Fixed point model for adaptive token passing bus protocol

1992 ◽  
Vol 139 (1) ◽  
pp. 50 ◽  
Author(s):  
P.G. Harrison ◽  
F. Naraghi
Keyword(s):  
Fixed Point ◽  
Point Model ◽  
Token Passing

Bifurcation in a Simple Model of the Cardiovascular System

2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal
Keyword(s):  
Nonlinear Dynamics ◽  
Blood Pressure ◽  
Heart Rate ◽  
Fixed Point ◽  
Cardiovascular System ◽  
Modified Model ◽  
Mayer Waves ◽  
Sustained Oscillations ◽  
Human Cardiovascular System ◽  
Physiological Values

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.

Fixed Point Theorem in Fuzzy Metric Space Satisfying Integral Inequality

2012 ◽  
Vol 3 (2) ◽  
pp. 305-307
Author(s):  
Geeta Modi ◽  
◽  
Arvind Gupta ◽  
Varun Singh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Integral Inequality ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion
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