A perturbation-incremental (PI) method is presented for the computation, continuation and bifurcation analysis of periodic solutions of nonlinear systems of delay differential equations (DDEs). Periodic solutions can be calculated to any desired degree of accuracy and their stabilities are determined by the Floquet theory. Branch switching at a period-doubling bifurcation is made simple by the ...

Motivated by experimental observations in the light-sensitive Belousov–Zhabotinsky reaction and subsequent numerical works, we discuss period-doubling bifurcations of spiral waves and other coherent structures. We report on explanations of the observed phenomena which involve a detailed analysis of spectra, and of the associated eigenfunctions, of defects on bounded and unbounded domains.

The superfluidity of Bose-Einstein condensates ~BECs! in optical lattices is investigated. Apart from the usual Landau instability, which occurs when a BEC flows faster than the speed of sound, the BEC can also suffer a dynamical instability, resulting in period doubling and other sorts of symmetry breaking of the system. Such an instability plays a crucial role in the dissipative motion of a t...

Critical buildings such as hospitals and police stations must remain functional immediately following a major earthquake event. Due to earthquake effects, they often experience large strains, leading to progressive collapses. Therefore, monitoring and assessing the large strain condition of critical buildings is of paramount importance to post-earthquake responses and evacuations in earthquake-...

We study the effects of N * (1440) resonance on the production of kaons, an-tikaons and antiprotons in heavy-ion collisions at subthreshold energies. Using free-space widths for the ∆(1232) and the N * (1440) resonance and free-space thresholds for particle production, it is found that the N *-baryon interactions contribute about 10%, 25% and 80% to the yield of kaon, antikaon and antiproton, r...

We suggest a fiber micro-knot fabricated on a long-period fiber grating. The long-period fiber grating excites high-order modes into the micro-knot and transfers the output back to the Gaussian mode. We show theoretically and experimentally that these micro-knots have an improved Q-factor, higher stability, and have an increased evanescence wave coupling to the environment than single mode fibe...

The ultimate aim of the following pages is to explore the hypothesis that sentences containing a pronoun be analyzed as involving a topic pronoun doubling relation in a way that closely parallels the one overtly realized in Clitic Left Dislocation (CLLD) and Hanging Topic (HT) structures in Italian/Romance. In a nutshell: when a pronoun is present in the clause, a silent doubled non-overt topic...

Contestants have to choose whether to initiate a contest or war, or whether to remain peaceful for another period. We find that agents wait and initiate the contest once their rival is sufficiently weak to be an easy target. ZUSAMMENFASSUNG ''Leichte Beute'' und der Zeitpunkt eines Konflikts Die Gegner in einem potentiellen Konflikt müssen sich in jeder Periode entscheiden, ob sie den Konflikt ...

We consider solutions to the equation detDφ = μ when μ has a doubling property. We prove new geometric characterizations for this doubling property (by means of the so-called engulfing property) and deduce the quantitative behaviour of φ. Also, a constructive approach to the celebrated C-estimates proved by L. Caffarelli is presented, settling one of the open questions posed by C. Villani in [11].

We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of the Green's function. Our method works for both the divergence and ...