Sentence examples for nonlinear saddle from inspiring English sources

At this point a stable limit cycle bifurcates and exists up until (tau equivtau_{HC}approx3.2) where the orbit appears to be homoclinic to the nonlinear saddle at the origin.

The dynamical configuration is a nonlinear saddle.

Using the mixed finite element method and Newton's linearization, we discretize the nonlinear saddle-point system, and prove that the discrete saddle-point system is well-posed.

That is, like the other taxa, arabidopsis exhibits a nonlinear, saddle-like dependence, between the strength of gene expression and GC3 (fig. 2 A), but its gene expression variability grows almost linearly with GC3 (fig. 2 B).

The relationship between GC3 and average gene expression is nonlinear and saddle-like for all four organisms (fig. 2), but the strength of the dependencies varies from organism to organism.

In this section, we define higher-order mixed saddle points with respect to a nonlinear function ψ : S × S → R n for a partial vector-valued Lagrangian of a multiobjective optimization problem.

Recently, the authors in [19] considered the existence of periodic and subharmonic solutions for the nonlinear difference equations with p-Laplace operator by using the saddle point theorem.

The problem is modeled as a dynamical system with nonlinear stochastic constraints, and our idea is to find the saddle point of the game after a certain time of play.

Thus, ( x 0, μ J 1 0 ) is a mixed saddle point of order m with respect to a nonlinear function ψ for the partial vector Lagrangian.

We now introduce the notion of mixed saddle points of order m with respect to a nonlinear function for (MOP) as follows.

Since a number of nonlinear dynamical responses emerge from dissipative systems undergoing a homoclinic saddle-point bifurcation, we validate this concept with a bistable inertial oscillator comprised of permanent magnets and a piezoelectric cantilever beam.