Results 241 to 250 of about 180,188 (276)

Transverse bifurcations of homoclinic cycles

Physica D: Nonlinear Phenomena, 1997
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Chossat, P., Krupa, M., Melbourne, I., Scheel, A.   +3 more
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Transient Synchronous Stability Analysis and Assessment of PLL-Based VSC Systems by Bifurcation Theory

IEEE transactions on energy conversion
For the transient synchronous stability of phase-locked loop based voltage source converter grid-tied systems, the generalized swing equation (GSE) is believed as very important. In this paper, the GSE is studied deeply by bifurcation theory.
Miao Han, Rui Ma, Mengyuan Zhan
semanticscholar   +1 more source

Homoclinic Bifurcations in n Dimensions

Studies in Applied Mathematics, 1990
Bifurcations near homoclinic orbits in n dimensions are described. Depending on the eigenvalues of the Jacobian at the fixed point whose real parts are closest to zero, a strange invariant set of periodic and aperiodic orbits can be produced, which can be described by a Bernoulli shift on a finite set of symbols.
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Homoclinic Bifurcation in a Predator-Prey Model

Acta Mathematica Hungarica, 1997
The authors deal with predator-prey models \[ N' = N \Biggl[ \frac{\varepsilon}{K}(K - N) - \frac{aP}{\beta + N}\Biggr], \quad P' = P \Biggl[-M(P) + \frac{bN}{\beta + N}\Biggr], \tag{1} \] where \(N(t)\) and \(P(t)\) are the quantities of prey and predator, respectively, the function \(M(P) = (\gamma + \delta P) / (1 + P)\) describes the specific ...
Lizana, M., Niño, L.
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Hopf bifurcations and homoclinic tangencies

Nonlinearity, 1999
A general programme stated by Palis [see the book ``Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations'' by \textit{F. Takens} and \textit{J. Palis} [Cambridge Studies in Advanced Mathematics 35, Cambridge University Press (1993; Zbl 0790.58014] and for further views the article of \textit{J.
openaire   +1 more source

A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form

Nonlinear dynamics, 2019
A. Algaba, K. Chung, B. Qin, A. Rodríguez-Luis   +3 more
semanticscholar   +1 more source

Spatial Unfolding of Homoclinic Bifurcations

2002
We consider solutions which are homogeneous in space, periodic in time, and close to being homoclinic for a partial differential equation. We show that such solutions are generically unstable with respect to large wavelength perturbations, and that the instability can be of two different types: either the well-known Kuramoto phase insta- bility, or a ...
P. Coullet, E. Risler, N. Vanderberghe
openaire   +1 more source

The homoclinic twist bifurcation point

1992
We analyze bifurcations occurring in the vicinity of a homoclinic twist point for a generic two parameter family of Z 2 equivariant ODE’s in four dimensions. The results are compared with numerical results for a system of two coupled Josephson junctions with pure capacitive load.
Aronson, D.G., van Gils, S.A., Krupa, M.
openaire   +2 more sources

Homoclinic bifurcation of a ratio-dependent predator–prey system with impulsive harvesting

, 2017
Chunjin Wei, Junnan Liu, Lansun Chen
semanticscholar   +1 more source

Onset of normal and inverse homoclinic bifurcation in a double plasma system near a plasma fireball

, 2016
V. Mitra, B. Sarma, A. Sarma, M. Janaki, A. Iyengar   +4 more
semanticscholar   +1 more source