Phase plane methods for toppling stability analysis of landing spacecraft.

1968 ◽  
Vol 5 (12) ◽  
pp. 1452-1456
Author(s):  
DALE R. WILLIAMSON ◽  
PETER W. LIKINS
Keyword(s):  
Stability Analysis ◽  
Phase Plane

A frequency domain stability analysis of a phase plane control system

1985 ◽  
Vol 8 (1) ◽  
pp. 50-55 ◽  
Author(s):  
Alexander N. Penchuk ◽  
Philip D. Hattis ◽  
Edward T. Kubiak
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Frequency Domain ◽  
Phase Plane ◽  
Domain Stability ◽  
Phase Plane Control

Stability Analysis of A Class of Second-Order Phase Plane Control Systems: A Simulation Study

2021 ◽  
Author(s):  
Zhihua Chen ◽  
Yongchun Xie ◽  
Yong Guo ◽  
Kai Zhang ◽  
Jinhua Guo ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Simulation Study ◽  
Phase Plane ◽  
Second Order ◽  
Phase Plane Control

The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

1984 ◽  
Vol 51 (2) ◽  
pp. 399-405 ◽  
Author(s):  
M. R. Hyams ◽  
L. A. Month
Keyword(s):  
Perturbation Theory ◽  
Stability Analysis ◽  
Hamiltonian System ◽  
Phase Plane ◽  
Nonlinear Oscillators ◽  
Two Dimensional ◽  
Periodic Motions ◽  
Coupled Nonlinear Oscillators ◽  
The Stability ◽  
Two Degree Of Freedom

The stability and bifurcation of periodic motions in a symmetric two-degree-of-freedom Hamiltonian system is studied by a reduction to a two-dimensional action-angle phase plane, via canonical perturbation theory. The results are used to explain why linear stability analysis will always be indeterminate for the in-phase mode in a class of coupled nonlinear oscillators.

scholarly journals Stability analysis of DGP brane-world model with agegraphic dark energy

2020 ◽  
Vol 98 (8) ◽  
pp. 778-783
Author(s):  
A. Ravanpak ◽  
G.F. Fadakar
Keyword(s):  
Dark Energy ◽  
Stability Analysis ◽  
System Approach ◽  
Phase Plane ◽  
Jacobi Matrix ◽  
Brane World ◽  
Coincidence Problem ◽  
World Model ◽  
Agegraphic Dark Energy ◽  
The Stability

The aim of this work is to apply the dynamical system approach to study the linear dynamics of the normal DGP brane-world model with agegraphic dark energy. The stability analysis of the model will be investigated and the phase plane portrait will be illustrated. The nature of critical points will be analyzed by evaluating the eigenvalues of a linearized Jacobi matrix. Also, the statefinder diagnostic procedure will be applied to show the slight deviation of our model from the ΛCDM model. One of the most interesting results of this work is the great alleviation of the coincidence problem.

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