Sentence examples for continuous families from inspiring English sources

The resulting complex periodic orbits are shown to be members of continuous families of such orbits, where the characteristics of each orbit in the family vary continuously from one end of the family to the other.

This class of strongly continuous families has been studied extensively in the literature of abstract Volterra equations; see e.g. Prüss [3] and references therein.

Secondly, even for fixed initial conditions of the WS variables, there are many continuous families of orbits that can be obtained by varying ({psi_{k}}).

In summary, for instantaneous synapses of the form studied here, there may be continuous families of periodic orbits (for drive (eta>0) and for some (eta<0) if (kappa>0)) in the infinite-N uniformly distributed (psi_{k}) case.

However, in the full network (1)–(2) there can still be continuous families of attracting periodic orbits near the splay state of (29)–(30) which differ in their initial conditions, and therefore their ({psi_{k}}).

In summary, the dynamics of (21)–(22) is non-generic due to their reversible nature, which can lead to the existence of continuous families of neutrally-stable periodic orbits.

Records show continuous family tenure from the 13th century to 1990.

This gives continuous family of non-amenable subfactors which verify our conjecture.

For Joanna Gleason, now featured in "Social Security," the restaurant is a nightly installment of a continuous family reunion.

And here, finally, is my favourite family saga: a gorgeous soap opera of continuous family dramas set in Cairo's ancient quarter through the 20th century.

Namely, these symbols maps turn out to be given by an analytical family index of a continuous family of Fredholm operators.