Sentence examples for dynamic multiplicity from inspiring English sources

Bifurcation analysis of the semi-analytical model is performed by using singularity theory to analyse the static multiplicity and a stability analysis to determine the dynamic multiplicity.

Complex dynamic bifurcations, hysteresis, multiplicity, period doubling and period halving, as well as period adding and period subtracting dominate the dynamics of the system.

Both the steady state multiplicity and dynamic stability structures are determined.

Multiplicity of dynamic steady states is observed, with coexistence of torus doubling sequences and of period-adding bifurcation sequences.

Natural and artificial environments, at scales ranging from cellular to geographic, have complex and changing spatial structures based on regions, as well as being inhabited by a multiplicity of dynamic entities.

Experiments using a scanning laser slit and calculations using a corresponding one-dimensional model indicate that nonlinear changes in the optical properties of the film during decomposition can lead to both steady state multiplicity and dynamic instabilities.

This result by itself does not ensure the convergence of intensive variables to a desired operation point as complex dynamic phenomena such as multiplicities may appear in the invariant set.

The deterioration in performance is attributed to input multiplicity and unfavourable dynamic interaction between the control loops.

Clearly, human sexual behavior, in its dyadic and dynamic nature depends on the multiplicity of intertwined factors that enable a couple to decide together and implement changes.

Steady-state predictions and dynamic phenomena such as stability and multiplicity are simulated.

There have been many approaches to study the existence and multiplicity of solutions for dynamic equations on time scales, such as the method of lower and upper solutions, fixed-point theory, coincidence degree theory and so on.