SI Appendix 1: Experimental Localization of a Hopf Bifurcation Hartigans’ dip statistic was employed to experimentally identify the stiffness value at which a supercritical Hopf bifurcation occurred in an actual hair bundle (1-3). The position distribution for a quiescent bundle is unimodal, whereas a spontaneously oscillating bundle yields a multimodal distribution. Larger values of the dip st...

It is unknown if an Artinian level O-sequence of codimension 3 and type r (≥ 2) is unimodal, while it is known that any Gorenstein O-sequence of codimension 3 is unimodal. We show that some Artinian non-unimodal O-sequence of codimension 3 cannot be level. We also find another non-level case: if some Artinian algebra A of codimension 3 has the Hilbert function H : h0 h1 · · · hd−1 hd · · · hd }...

Biometrics is the science and technology of measuring and analyzing biological data of human body, extracting a feature set from the acquired data, and comparing this set against to the template set in the database. Experimental studies show that Unimodal biometric systems had many disadvantages regarding performance and accuracy. Multimodal biometric systems perform better than unimodal biomet...

Generally, Collet-Eckmann maps require unimodality and multimodality. The inverse is not true. In this paper, we will prove that S-unimodal maps are Collet-Eckmann maps in a specific range of their bifurcation parameters. The proof is based on the fact that the family of robustly chaotic unimodal maps known in the literature are all topologically conjugate to one another and the fact that if tw...

Agriculture plays a very important role as it helps to accomplish the need of food among people. The production in agriculture consequentially contributes economy every country. grain crops rice, wheat, maize, and legumes are suffering lot due some viral, bacterial, fungal diseases. pest variety diseases can bring heavy loss global economy. monitoring health identification at early days is chal...