scholarly journals Numerical Study of Global Stability of Oblate Field-Reversed Configurations

2000 ◽  
Author(s):  
E.V. Belova ◽  
S.C. Jardin ◽  
H. Ji ◽  
M. Yamada ◽  
R. Kulsrud
Keyword(s):  
Global Stability ◽  
Numerical Study ◽  
Field Reversed Configurations

scholarly journals Numerical study of global stability of oblate field-reversed configurations

2001 ◽  
Vol 8 (4) ◽  
pp. 1267 ◽  
Author(s):  
E. V. Belova ◽  
S. C. Jardin ◽  
H. Ji ◽  
M. Yamada ◽  
R. Kulsrud
Keyword(s):  
Global Stability ◽  
Numerical Study ◽  
Field Reversed Configurations

scholarly journals Numerical study of tilt stability of prolate field-reversed configurations

2000 ◽  
Author(s):  
E. V. Belova ◽  
S. C. Jardin ◽  
M. Yamada H. Ji ◽  
R. Kulsrud
Keyword(s):  
Numerical Study ◽  
Tilt Stability ◽  
Field Reversed Configurations

scholarly journals Numerical Study of Field-reversed Configurations: The Formation and Ion Spin-up

2005 ◽  
Author(s):  
E.V. Belova ◽  
R.C. Davidson ◽  
H. Ji ◽  
M. Yamada ◽  
C.D. Cothran ◽  
...  
Keyword(s):  
Numerical Study ◽  
Field Reversed Configurations

FITZHUGH–NAGUMO REVISITED: TYPES OF BIFURCATIONS, PERIODICAL FORCING AND STABILITY REGIONS BY A LYAPUNOV FUNCTIONAL

2004 ◽  
Vol 14 (03) ◽  
pp. 913-925 ◽  
Author(s):  
TANYA KOSTOVA ◽  
RENUKA RAVINDRAN ◽  
MARIA SCHONBEK
Keyword(s):  
Global Stability ◽  
Lyapunov Functional ◽  
Numerical Study ◽  
Phase Locking ◽  
Hopf Bifurcations ◽  
Bifurcation Diagrams ◽  
Boundedness Of Solutions ◽  
Periodic Forcing ◽  
Homoclinic Bifurcations ◽  
Stability Results

We study several aspects of FitzHugh–Nagumo's (FH–N) equations without diffusion. Some global stability results as well as the boundedness of solutions are derived by using a suitably defined Lyapunov functional. We show the existence of both supercritical and subcritical Hopf bifurcations. We demonstrate that the number of all bifurcation diagrams is 8 but that the possible sequential occurrences of bifurcation events is much richer. We present a numerical study of an example exhibiting a series of various bifurcations, including subcritical Hopf bifurcations, homoclinic bifurcations and saddle-node bifurcations of equilibria and of periodic solutions. Finally, we study periodically forced FH–N equations. We prove that phase-locking occurs independently of the magnitude of the periodic forcing.

scholarly journals Numerical study of tilt stability of prolate field-reversed configurations

2000 ◽  
Vol 7 (12) ◽  
pp. 4996-5006 ◽  
Author(s):  
E. V. Belova ◽  
S. C. Jardin ◽  
H. Ji ◽  
M. Yamada ◽  
R. Kulsrud
Keyword(s):  
Numerical Study ◽  
Tilt Stability ◽  
Field Reversed Configurations

scholarly journals Numerical study of the formation, ion spin-up and nonlinear stability properties of field-reversed configurations

2005 ◽  
Vol 46 (1) ◽  
pp. 162-170 ◽  
Author(s):  
E.V Belova ◽  
R.C Davidson ◽  
H Ji ◽  
M Yamada ◽  
C.D Cothran ◽  
...  
Keyword(s):  
Nonlinear Stability ◽  
Numerical Study ◽  
Stability Properties ◽  
Field Reversed Configurations

The Volterra–Lyapunov matrix theory for global stability analysis of a model of the HIV/AIDS

2016 ◽  
Vol 10 (01) ◽  
pp. 1750002 ◽  
Author(s):  
Moosarreza Shamsyeh Zahedi ◽  
Narges Shayegh Kargar
Keyword(s):  
Stability Analysis ◽  
Global Stability ◽  
Matrix Theory ◽  
Classical Method ◽  
Numerical Study ◽  
Building Blocks ◽  
Homogeneous Population ◽  
Global Stability Analysis ◽  
Lyapunov Matrix ◽  
Hiv Aids

In this paper, we analyze a nonlinear mathematical model of the HIV/AIDS and screening of unaware infectives on the transmission dynamics of the disease in a homogeneous population with constant immigration of susceptibles incorporating use of condom, screening of unaware infectives and treatment of the infected. We consider constant controls and thereafter by incorporating the theory of Volterra–Lyapunov stable matrices into the classical method of Lyapunov functions, we present an approach for global stability analysis of HIV/AIDS. The analysis and results presented in this paper make building blocks toward a comprehensive study and deeper understanding of the fundamental mechanism in HIV/AIDS. A numerical study of the model is also carried out to investigate the analytical results.

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