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We shall introduce the definition of near saddle point, consider one kind of dynamical system which has a near saddle point, investigate the intertwining phenomenon of this kind of dynamical system, and give some conditions to guarantee the existence of intertwined attractors of the dynamical systems on the plane and get some related results.
We now introduce the notion of mixed saddle points of order m with respect to a nonlinear function for (MOP) as follows.
Based on the iterative minimization formulation (IMF) for saddle points [14], we introduce the convex splitting method to minimize the auxiliary functional at each cycle of the IMF.
In this paper, we introduce the concepts of preordered Banach spaces, generalized saddle points and preordered variational inequalities.
Furthermore, Korpelevich [14] introduced the so-called extragradient method for finding a solution of a saddle point problem.
DOI: http://dx.doi.org/10.7554/eLife.09206.017 Introducing the anterior mass flux brings a bias inside the problem and breaks the pitchfork bifurcation into a saddle node one as generically explained in Arnold et al. (1994) (Appendix figure 1).
Surveillance is in the saddle.
Denis jumps into the saddle.
OK. We're back in the saddle.
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