Sentence examples for zero equilibrium from inspiring English sources

Figure 4 The Hopf bifurcation from the zero equilibrium.

Moreover, less conservatism impulsive controller will be designed to stabilize the zero equilibrium point.

For the zero equilibrium we get p+q=P ( 0,0 ) < 1, and by applying Proposition 2, the zero equilibrium is locally asymptotically stable.

Equation (4) has only a zero equilibrium when a < 2. Equation (4) has a zero equilibrium and the positive equilibrium x ¯ = 1 / 2, when a = 2.

Then the zero equilibrium of Eq. (13) is globally asymptotically stable on the interval ([0, M)).

Then every positive solution of the fuzzy difference equation (1.6) tends to the zero equilibrium as.

Theorem 1 A. If, then the zero equilibrium of (1.1) is globally asymptotically stable.

In this section, we investigate global asymptotic stability of zero equilibrium of (1.3).

Assumption (i) means that none of the commodities has a zero equilibrium price.

holds and obviously tends to the unique zero equilibrium of (1.7) as.

If the above inequality is strict, then the solution converges asymptotically to the zero equilibrium point.