Asymptotic Stability, Orbital Stability of Hopf-Bifurcating Periodic Solution of a Simple Three-Neuron Artificial Neural Network with Distributed Delay

A distributed delay model of a class of three-neuron network has been investigated. Sufficient conditions for existence of unique equilibrium, multiple equilibria and their local stability are derived. A closed interval for a parameter of the system is identified in which Hopf-bifurcating periodic solution occurs for each point of such interval. The orbital stability of such bifurcating periodic solution at the extreme points of the interval is ascertained. Lastly global bifurcation aspect of such periodic solutions is studied. The results are illustrated by numerical simulations

Stability and Hopf-Bifurcation Analysis of Delayed BAM Neural Network under Dynamic Thresholds

In this paper the dynamics of a three neuron model with self-connection and distributed delay under dynamical threshold is investigated. With the help of topological degree theory and Homotopy invariance principle existence and uniqueness of equilibrium point are established. The conditions for which the Hopf-bifurcation occurs at the equilibrium are obtained for the weak kernel of the distributed delay. The direction and stability of the bifurcating periodic solutions are determined by the normal form theory and central manifold theorem. Lastly global bifurcation aspect of such periodic solutions is studied. Some numerical simulations for justifying the theoretical analysis are also presented

Aleuritic Acid

Aleuritic Aci

Synthesis of plant growth regulator analogues from aleuritic acid

Plant growth regulators (PGR’S) having either stimulating or retarding activity are non-pollutive and cost-effective compounds to bring about changes of desired productivity in agricultural crops. Among these compounds one group comprises of the aliphatic nature with remarkable and definite activity in the physiology of plant growth. This paper covers syntheses of two unreported PGR analogues (VIII) and (V) from threo-aleuritic acid“, 9, 10 16-trihydroxyhexadecanoic acid (I), the major constituent acid of lac, believed to be present to the extent of 35%

A Mild and Efficient Method for the Syntheses and Regioselective Ring-Opening of Aziridines

We have developed a new synthetic method for the synthesis of aziridines using Chloramine-T as an effective reagent in the presence of NH2OH center dot HCl and NaIO4. We found that the same combination of NH2OH center dot HCl and NaIO4 is also very effective for nucleophilic ring opening of aziridines.This research was funded by the Russian Science Foundation, grant number 18-19-00090

A Mild and Efficient Method for the Syntheses and Regioselective Ring-Opening of Aziridines

We have developed a new synthetic method for the synthesis of aziridines using Chloramine-T as an effective reagent in the presence of NH 2OH·HCl and NaIO 4. We found that the same combination of NH 2OH·HCl and NaIO 4is also very effective for nucleophilic ring opening of aziridines. Copyright © 2017 Georg Thieme Verlag Stuttgart · New York

Combination of NH2OHHCl and NaIO4: A new and mild reagent for the synthesis of vicinal diiodo carbonyl compounds

The synthesis of vicinal diiodo carbonyl compounds from α,β-unsaturated carbonyl compounds has been carried out for the first time using the combination of NH2OHHCl and NaIO4 under mild reaction conditions at room temperature. The present methodology is also applicable for the synthesis of vicinal diiodo derivatives of nitrostyrene. The remarkable advantages of the present protocol are room temperature reaction, easy operation, good yields, fast reaction, transition metal-free and neutral reaction conditions. The present methodology is applicable to gram scale synthesis. © 2016 Arkat. All rights reserved

LHC and lepton flavour violation phenomenology of a left-right extension of the MSSM

We study the phenomenology of a supersymmetric left-right model, assuming minimal supergravity boundary conditions. Both left-right and (B-L) symmetries are broken at an energy scale close to, but significantly below the GUT scale. Neutrino data is explained via a seesaw mechanism. We calculate the RGEs for superpotential and soft parameters complete at 2-loop order. At low energies lepton flavour violation (LFV) and small, but potentially measurable mass splittings in the charged scalar lepton sector appear, due to the RGE running. Different from the supersymmetric 'pure seesaw' models, both, LFV and slepton mass splittings, occur not only in the left- but also in the right slepton sector. Especially, ratios of LFV slepton decays, such as Br(${\tilde\tau}_R \to \mu \chi^0_1$)/Br(${\tilde\tau}_L \to \mu \chi^0_1$) are sensitive to the ratio of (B-L) and left-right symmetry breaking scales. Also the model predicts a polarization asymmetry of the outgoing positrons in the decay $\mu^+ \to e^+ \gamma$, A ~ [0,1], which differs from the pure seesaw 'prediction' A=1$. Observation of any of these signals allows to distinguish this model from any of the three standard, pure (mSugra) seesaw setups.Comment: 43 pages, 17 figure

Right-handed Sneutrino Dark Matter in Supersymmetric B-L Model

We show that the lightest right-handed sneutrino in TeV scale supersymmetric B-L model with inverse seesaw mechanism is a viable candidate for cold dark matter. We find that it accounts for the observed dark matter relic abundance in a wide range of parameter space. The spin-independent cross section of B-L right-handed sneutrino is consistent with the recent results CDMS II and XENON experiments and it is detectable in future direct detection experiments. Although the B-L right-handed sneutrinos annihilate into leptons, the PAMELA results can not be explained in this model unless a huge boost factor is considered. Also the muon flux generated by B-L right-handed sneutrino in the galactic center is smaller than Super-Kamiokande's upper bound.Comment: 16 pages, 7 figures; version accepted for publication in Journal of High Energy Physic