Sentence examples for including period from inspiring English sources
We do not only focus on Hopf bifurcations, but take into account all types of bifurcation that might occur to periodic solutions, including period doubling and Neimark-Sacker bifurcations.
Museums and Galleries BELLPORT "Bellport: Summer, 1900," an exhibition including period photographs, paintings and objects.
Ms. Baumler, an antiques dealer, has furnished the elevator with a lifetime's worth of collected artifacts, including period lighting fixtures from a drugstore.
Scorsese's work as a producer has covered a wide variety of projects, including period drama The Young Victoria, mob comedy The Family and the upcoming HBO show Vinyl.
This eight-room belle époque folly -- filled with fantastic baubles and rich details, including period oil paintings, stained-glass windows from Chartres and an intimate sitting room lined with dyed leather -- sits in a quiet three-acre park.
The selection of jewelry and accessories, including period pieces and other more recent examples, shows how readily Surrealism was co-opted by fashion but does not explore the broader implications of related imagery in the art.
Numerical simulations are performed to support theoretical results and some complex dynamic behaviors are observed, including period-halving bifurcations, period-doubling bifurcations, high-order periodic oscillations, chaotic oscillation, fast-slow oscillation, even unbounded oscillation.
More precisely, as the parameters vary, system (3) exhibits a variety of dynamical behaviors, including period-11 orbits, an invariant cycle, a cascade of period-doubling, quasi-periodic orbits, and chaotic sets, which imply that the predators and prey can coexist in the stable period-n orbits and invariant cycle.
Steven was kept in the unit for nearly a year, including periods when he was subject to Deprivation of Liberty Safeguards.
The data demonstrate several non-linear phenomena including period-doubling sequence bifurcation, period-three, and chaotic motion.
Moreover, numerical simulations display interesting dynamical behaviors for the system (1.3), including period-doubling orbits and chaotic sets.
