Results 91 to 100 of about 306,832 (290)

Nonlinear dynamics of turbulent waves in fluids and plasmas [PDF]

open access: yesNonlinear Processes in Geophysics, 2005
In a model drift wave system that is interesting both in fluids and plasmas, we find that an embedded moving saddle point plays an important role at the onset of turbulence.
K. He, A. C.-L. Chian
doaj  

Existence and uniqueness of a saddle-node bifurcation point for nonlinear equations in general domains [PDF]

open access: yesarXiv
This paper provides a direct method of establishing the existence and uniqueness of saddle-node bifurcations for nonlinear equations in general domains. The method employs the scaled extended quotient whose saddle points correspond to the saddle-node bifurcations. The uniqueness of the saddle-node bifurcation point directly stems from the uniqueness of
arxiv  

Universal Scaling in Saddle-Node Bifurcation Cascades (II) Intermittency Cascade [PDF]

open access: yesarXiv, 2005
The presence of saddle-node bifurcation cascade in the logistic equation is associated with an intermittency cascade; in a similar way as a saddle-node bifurcation is associated with an intermittency. We merge the concepts of bifurcation cascade and intermittency.
arxiv  

Saddle point least squares for the reaction–diffusion problem

open access: yesResults in Applied Mathematics, 2020
We consider a mixed variational formulation for the reaction–diffusion problem based on a saddle point least square approach with an optimal test norm and nonconforming trial spaces.
Constantin Bacuta, Jacob Jacavage
doaj  

Nonsmooth convex-concave saddle point problems with cardinality penalties [PDF]

open access: yesarXiv
In this paper, we focus on a class of convexly constrained nonsmooth convex-concave saddle point problems with cardinality penalties. Although such nonsmooth nonconvex-nonconcave and discontinuous min-max problems may not have a saddle point, we show that they have a local saddle point and a global minimax point, and some local saddle points have the ...
arxiv  

Box dimension of a hyperbolic saddle loop [PDF]

open access: yesarXiv, 2015
We compute the box dimension of a spiral trajectory around a hyperbolic saddle loop, as the simplest example of a hyperbolic saddle polycycle. In cases of weak foci and limit cycles, Zubrinic and Zupanovic show that the box dimension of a spiral trajectory is in a bijective correspondence with cyclicity of these sets. We show that, in saddle loop cases,
arxiv  

Finite Larmor radius influence on MHD solitary waves [PDF]

open access: yesNonlinear Processes in Geophysics, 2009
MHD solitons are studied in a model where the usual Hall-MHD model is extended to include the finite Larmor radius (FLR) corrections to the pressure tensor. The resulting 4-dimensional set of differential equations is treated numerically.
E. Mjølhus
doaj  

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