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Zhang J.-E.,Hubei Normal University
Advances in Mathematical Physics | Year: 2017

Memristive regulatory-type networks are recently emerging as a potential successor to traditional complementary resistive switch models. Qualitative analysis is useful in designing and synthesizing memristive regulatory-type networks. In this paper, we propose several succinct criteria to ensure global asymptotic stability and global asymptotic synchronization for a general class of memristive regulatory-type networks. The experimental simulations also show the performance of theoretical results. © 2017 Jin-E Zhang.

Cai G.,Hubei Normal University | Hu C.s.,Hubei Normal University
Computers and Mathematics with Applications | Year: 2010

In this paper, we study a general iterative process to have strong convergence for a finite family of λi-strict pseudo-contractive non-self-mappings in the framework of q-uniformly smooth Banach spaces. Our results improve and extend the corresponding results announced by many others. © 2009 Elsevier Ltd. All rights reserved.

Liu W.,Hubei Normal University
Advanced Nonlinear Studies | Year: 2016

In this paper, we study the nonlinear fractional Schrödinger system in N. Applying the finite reduction method, we prove that the nonlinear fractional Schrödinger system has multi-peak positive solutions under some suitable conditions. © 2016 by De Gruyter.

Rao Y.,Hubei Normal University | Yin G.,Hubei Normal University
Organic and Biomolecular Chemistry | Year: 2013

A simple and efficient method for the synthesis of functionalized di-aromatic ring-fused 2,8-dioxabicyclo[3.3.1]nonane derivatives catalyzed by silver triflate from easily available 2-hydroxychalcones and naphthols/substituted phenols is described. Two six-membered cycles were formed in a one-pot operation. This reaction was probably achieved via a Friedel-Crafts alkylation/bicyclization domino process. This journal is © The Royal Society of Chemistry.

Wu S.-Q.,China West Normal University | Wu S.-Q.,Hubei Normal University
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2011

I construct exact solutions for general nonextremal rotating, charged Kaluza-Klein black holes with a cosmological constant and with arbitrary angular momenta in all higher dimensions. I then investigate their thermodynamics and find their generalizations with the Newman-Unti-Tamburino charges. The metrics are given in both Boyer-Lindquist coordinates and a form very similar to the famous Kerr-Schild ansatz, which highlights its potential application to include multiple electric charges into solutions yet to be found in gauged supergravity. It is also observed that the metric ansatz in D=4 dimensions is similar to those previously suggested by Yilmaz and later by Bekenstein. © 2011 American Physical Society.

Chai G.,Hubei Normal University
Computers and Mathematics with Applications | Year: 2011

In this paper, we consider the existence of solutions for the nonlinear fractional differential equation CD0+αu(t)+r CD0+α-1u(t)=f(t,u(t)),t∈(0,1) with the boundary value conditions u(0)=u(1),u(ξ)=η,ξ∈(0,1), where CD0+α and CD0+α-1 are the standard Caputo derivative with 1<α≤2,r≠0. By using the contraction mapping principle and the Schauder fixed point theorem, some existence results are obtained. In addition, Lemma 2.6 in this paper is a valuable tool in seeking solvability of the fractional differential equations. © 2011 Elsevier Ltd. All rights reserved.

Jun T.,Hubei Normal University
Journal of Networks | Year: 2014

In order to solve game-theory model problem based on carrier sense multiple access protocol with collision avoidance in wireless network, a game-theory-based general and compatible modeling process is proposed, where the transmission probability of a node in a slot time is regarded as mixed game and network performance parameter M is taken as revenue function of game so as to build M rounds non-cooperative mixed strategy game with N gamers. After performing M rounds game, it will acquire M Nash-equilibria which is not equal to each other, and then these Nash-equilibria are taken as the input of single objective programming model with many constraints so as to obtain compromise equilibria. Finally, a minimum contention window based on compromise equilibria is designed. The throughput and successful transmission rate are analyzed through the simulation, and the simulation experiment results show our proposed modeling process has the more throughputs and the lower drop performance than the existing methods. © 2014 ACADEMY PUBLISHER.

Cheng Y.,São Paulo State University | Cheng Y.,Hubei Normal University | Adhikari S.K.,São Paulo State University
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2011

We study the localization of a cigar-shaped superfluid Bose-Fermi mixture in a quasiperiodic bichromatic optical lattice (OL) for interspecies attraction and intraspecies repulsion. The mixture is described by the Gross-Pitaevskii equation for the bosons, coupled to a hydrodynamic mean-field equation for fermions at unitarity. We confirm the existence of the symbiotic localized states in the Bose-Fermi mixture and Anderson localization of the Bose component in the interacting Bose-Fermi mixture on a bichromatic OL. The phase diagram in boson and fermion numbers showing the regions of the symbiotic and Anderson localization of the Bose component is presented. Finally, the stability of symbiotic and Anderson localized states is established under small perturbations. © 2011 American Physical Society.

Preparation and photoluminescence behavior of four new europium (III) ternary complexes with b-diketones (1-(6-methoxy-naphthalen-2-yl)-3-phenyl- propane-1,3-dione (MNPPD) and 1-(4-tertbutyl- phenyl)-3-(6-methoxy-naphthalen-2- yl)-propane-1,3-dione (BPMPD)) and 2,2-dipyridine (Bipy) or 1,10-phenanthroline (Phen) were reported, in the solid state. Complexes Eu(MPPD)3Bipy, Eu(BMPD)3Bipy, Eu(MPPD)3Phen and Eu(BMPD)3Phen were characterized by elemental analysis, FT-IR, 1H NMR, UV-vis absorption. The emission spectra show narrow emission bands that arise from the 5D0→ 7FJ (J = 0-4) transitions of the europium ion. Based on the emission spectra and luminescence decay curves in solid state, the intensity parameters (Ω τ ), lifetime (η ) and emission quantum efficiency (η ) were determined. The Ω 2 values indicate that the Eu(III) ion in these complexes is in a highly polarizable chemical environment. Complexes Eu(MPPD)3Bipy and Eu(MPPD)3Phen showed a longer lifetime (s) and a higher luminescence quantum efficiency (g), which indicated that the energy transfer to the europium ion from MNPPD ligand is more efficient than that from BPMPD ligand. © 2013 Elsevier B.V. All rights reserved.

Cheng Y.,Hubei Normal University | Tang G.,Hubei Normal University | Adhikari S.K.,São Paulo State University
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2014

We study the localization of a noninteracting and weakly interacting Bose-Einstein condensate (BEC) with spin-orbit coupling loaded in a quasiperiodic bichromatic optical lattice potential using the numerical solution and variational approximation of a binary mean-field Gross-Pitaevskii equation with two pseudospin components. We confirm the existence of the stationary localized states in the presence of the spin-orbit and Rabi couplings for an equal distribution of atoms in the two components. We find that the interaction between the spin-orbit and Rabi couplings favors the localization or delocalization of the BEC depending on the phase difference between the components. We also studied the oscillation dynamics of the localized states for an initial population imbalance between the two components. © 2014 American Physical Society.

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