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Dynamic System
Second Order
Related Publications
(11)
Differential Equ...
Methods of Qualitative Theory in Nonlinear Dynamics
Differential Equations and Dynamical Systems
Sur les courbes ...
Singularities of Principal Direction Fields from 3D Images
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Qualitative theory of secondorder dynamic systems
Qualitative theory of secondorder dynamic systems,A. A Andronov,E. A Leontovich,I. I Gordon,A. G. Maier
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Qualitative theory of secondorder dynamic systems
(
Citations: 218
)
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A. A Andronov
,
E. A Leontovich
,
I. I Gordon
,
A. G. Maier
Published in 1973.
Cumulative
Annual
Citation Context
(107)
...The latter are arguably qualitative in nature [
55
], and are here captured by the correlation measures...
Delphine Ropers
,
et al.
Model Reduction Using PiecewiseLinear Approximations Preserves Dynami...
...If the order of the system is two, one has a powerful tool such as the Poincaré–Bendixson theorem [
5
]...
A. A. Azamov
,
et al.
Existence of a complex closed trajectory in a threedimensional dynami...
...Accordingly, the first Liapunov exponent
L
_{1}
, at singularity
E
_{2}
is zero
2
3
...
S. Gakkhar
,
et al.
Complex behaviour in four species foodweb model
...Moreover,
u
is a
saddle
if Δ < 0, a
node
if
T
^{2}
≥ 4Δ > 0 (
stable
if
T
< 0,
unstable
if
T
> 0), a
focus
if 4Δ >
T
^{2}
> 0 (
stable
if
T
< 0,
unstable
if
T
> 0) and either a
weak focus
or a
centre
if
T
= 0 < Δ; for more details see
10
, p...
Jaume Llibre
,
et al.
The geometry of the real planar polynomial differential systems having...
...This algorithm forms the basis of the solution we describe in Section 4. Finally, the method describe hereafter makes heavy use of the fundamental notion of Poincar´ index [
1
] to determine the present of a singularity in a given region...
... approach assigns the same color to all fixed points on a chain, quasiperiodic orbits become visually apparent by virtue of their dense nature: if Pmax is chosen sufficiently large, all pixels on a quasiperiodic orbit are assigned similar values of a. Furthermore, if noise is chosen as uniformly distributed, the value of a converges to chaotic orbits converges to the expectation value of a, e.g. to 0. 5i fnoise is uniform over [0,
1
]...
Xavier Tricoche
,
et al.
Visualization of Topological Structures in AreaPreserving Maps
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Citations
(218)
Model Reduction Using PiecewiseLinear Approximations Preserves Dynamic Properties of the Carbon Starvation Response in Escherichia coli
(
Citations: 8
)
Delphine Ropers
,
Valentina Baldazzi
,
Hidde de Jong
Journal:
IEEE/ACM Transactions on Computational Biology and Bioinformatics  TCBB
, vol. 8, no. 1, pp. 166181, 2011
Existence of a complex closed trajectory in a threedimensional dynamical system
A. A. Azamov
,
O. S. Akhmedov
Journal:
Computational Mathematics and Mathematical Physics  COMPUT MATH MATH PHYSENGL TR
, vol. 51, no. 8, pp. 13531359, 2011
Complex behaviour in four species foodweb model
S. Gakkhar
,
A. Priyadarshi
,
Sandip Banerjee
Journal:
Journal of Biological Dynamics
, vol. aheadofp, no. aheadofp, pp. 117, 2011
Impedance spectroscopy and dielectric properties of Ce and La substituted Pb 0.7Sr 0.3(Fe 0.012Ti 0.988)O 3 nanoparticles
Kuldeep Chand Verma
,
Mast Ram
,
Jitender Singh
,
R. K. Kotnala
Journal:
Physica Dnonlinear Phenomena  PHYSICA D
, vol. 509, no. 15, pp. 49674971, 2011
The geometry of the real planar polynomial differential systems having their orbits embedded in conics
Jaume Llibre
,
Adam Mahdi
,
Joaquim Roé
Journal:
Dynamical Systemsan International Journal  DYN SYST
, vol. 26, no. 3, pp. 287321, 2011