Sentence examples for to bifurcation from inspiring English sources
noun
A division into two branches.
Bonani, F., Gilli, M. "A harmonic balance approach to bifurcation analysis of limit cycles," ISCAS'99.
The method includes loss of stability due to bifurcation and limiting behaviour.
After an introduction to bifurcation theory and spatio-temporal instabilities, we discuss in each lecture a new class of systems where an instability occurs, often leading to patterns, failure, or sudden shape, flow or transport changes.
The energy landscape has a multi-valley structure, and rotated-lattice ground-state configurations correspond to bifurcation points of the valleys.
Limit cycles obtained with feedback have in some cases nonharmonic form near bifurcation which may be attributed to bifurcation phenomena of higher order than the usual Hopf case.
We show how the compound matrix method can be extended to give eigenfunctions as well as eigenvalues to bifurcation problems in non-linear elasticity.
High spiking irregularity in these models emerged within a chaotic, close-to-bifurcation regime characterized by a shift of the membrane potential distribution from mono- to bimodality and by similar ISI return maps as observed in vitro.
a and b Transitions from "host wins" to "unstable bifurcation" to "cancer wins".
The second class of spurious minutiae are those that are very close to each other; either ridges very close to ridges, or bifurcations very close to bifurcations.
Emphasis is on differential equations as models and the implications of the theory for the behavior of the system being modeled and includes an introduction to bifurcations.
The approximate system is shown to have bifurcation leading to chaos.
