作者机构：
[Wang Yan-Qun] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.;Guangdong Med Coll, Sch Basic Med Sci, Dongguan 523808, Peoples R China.
通讯机构：
[Wang Yan-Qun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
关键词：
general solution;Melnikov function;period doubling;chaos
摘要：
The chaotic dynamics of a Duffing oscillator with a parametric force is investigated. By using the direct perturbation technique, we analytically obtain the general solution of the 1st-order equation. Through the boundedness condition of the general solution we get the famous Melnikov function predicting the onset of chaos. When the parametric and external forces are strong, numerical simulations show that increasing the amplitude of the parametric or external force can lead the system into chaos via period doubling.
摘要：
The title complex (C26H18CuN2O 6, Mr = 517.96) has been synthesized by the reaction of a-furanacrylic acid with 1,10-phenanthroline (phen) in the solvent mixture of water and methanol. Crystal data: monoclinic, space group C2/c with a = 2.2927(4), b = 1.01248(18), c = 1.05061(18) nm, β= 111.188(3)°, V = 2.274(7) nm3, Dc = 1.513 g/cm3, Z = A, F(000) = 1060, μ = 1.007mm-1, R = 0.0320 and wR = 0.0781. The crystal structural analysis shows that the copper atom is coordinated with four oxygen atoms from two α-furacrylic acids and two nitrogen atoms from 1,10-phenanthroline, giving a distorted octahedral coordination geometry. The result of electrochemical analysis shows that the electron transfer in the electrode reaction is quasi-reversible.
作者机构：
[Peng, Guojun; Peng, GJ] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
通讯机构：
[Peng, Guojun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
关键词：
fractional order;chaos;synchronization
摘要：
The chaotic dynamics of fractional order systems have attracted much attentions recently. In this Letter, we study the synchronization of the fractional order chaotic systems with a unidirectional linear error feedback coupling. The numerical results show that the fractional order chaotic systems can also be synchronized. (C) 2006 Elsevier B.V. All rights reserved.
摘要：
A one-dimensional chain coordination polymer [Co(II)(C_6H_5CH=CHCOOH)_2(4,4′- bipy)(H_2O)_5]n has been synthesized with cinnamylic acid, 4,4′-bipy and cobaltous chloride as raw materials. Crystal data for this complex: monoclinic, space group P21/c, a = 1.1481(3), b = 1.1230(2), c = 1.1759(3) nm, β = 97.054(4)o, V = 1.5046(6) nm~3, Mr= 617.50, Dc = 1.363 g/cm~3, Z = 2, μ(MoKα) = 0.627 mm~(-1), F(000) = 646, S = 1.062, R 0.0443 and wR = 0.1178. The crystal structure shows that two neighboring cobalt(II) ions are linked together by one 4,4′-bipy, and the whole complex molecule adopts a one-dimensional chain structure. Each cobalt(II) ion is coordinated with two nitrogen atoms from two 4,4′-bipy molecules and four oxygen atoms from four water molecules, giving a distorted octahedral coordination geometry. The electrochemical properties were analyzed by combining with the crystal structure.
摘要：
The title complex (C_(26)H_(24)CuN_2O_5, Mr = 508.01) has been synthesized by o-methylbenzoic acid, 2,2'-bipyridine (bipy) and copper perchlorate in the mixed solvent of water and methanol. It crystallizes in orthorhombic, space group P2_12_12_1 with a = 0.70814(10), b = 1.6953(3),c = 1.9539(3) nm, V= 2.3457(6) nm~3, Dc= 1.439 g/cm~3, Z= 4,μ = 0.971 mm~(-1), F(000) = 1052, R= 0.0432 and wR = 0.0860. The structural determination shows that the copper atom is coordinated by three oxygen atoms from two o-methylbenzoic acids and one water molecule together with two nitrogen atoms from 2,2'-bipyridine, giving a distorted square-pyramidal coordination geometry.The cyclic voltammetric behavior of the complex is also discussed.
