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Highlights: [•] The residue harmonic balance is again introduced in bifurcation analysis. [•] The periodic bifurcations are examined using the fractional order, feedback gain and time delay as continuation parameters. [•] All possible steady state solutions are derived analytically without numerical integration. [•] The fractional order, feedback gain and time delay change the bifurcating curves qualitatively. [•] Control strategies are proposed to avoid jumps and hysteresis phenomena using trials and errors. [ABSTRACT FROM AUTHOR]

Abstract: We introduce the residue harmonic balance method to generate periodic solutions for nonlinear evolution equations. A PDE is firstly transformed into an associated ODE by a wave transformation. The higher-order approximations to the angular frequency and periodic solution of the ODE are obtained analytically. To improve the accuracy of approximate solutions, the unbalanced residues appearing in harmonic balance procedure are iteratively considered by introducing an order parameter to keep track of the various orders of approximations and by solving linear equations. Finally, the periodic solutions of PDEs result. The proposed method has the advantage that the periodic solutions are represented by Fourier functions rather than the sophisticated implicit functions as appearing in most methods. [Copyright &y& Elsevier]

For network congestion situation, analyze the harm and the reasons for it. To carry out a framework for network congestion control system design based on this Multi-Agent. In a multi-agent function design, carry out a reasonable arrangement, to establishment a framework of network congestion control system for multi-agent system, resolve the problem of congestion and inefficiencies in the operation of local network, ensure the normal operation of the network and improve network efficiency.

Electro-deposition Cu-In alloy can act as the precursor film to prepare CuInSe2 compound by selenating treatment. The effect of pH value on the electrodeposition potential of Cu-In alloy was investigated by electrochemical measurements in this paper. The relationship between the pH values and deposition potential was analyzed. Then uniform Cu-In alloy film was successfully prepared based on the special potential and pH.

To determine whether there is diversity among clinical isolates of Helicobacter pylori in Chinese patients with peptic ulcer disease, 40 strains of H. pylori were isolated from antral biopsy specimens obtained at the gastroenterology clinic of Xiangya Hospital from January 1996 to June 1998. Total protein profile by sodium dodecyl sulphate-polyacrylamide gel electrophoresis (SDS-PAGE) and DNA diversity by polymerase chain reaction-random amplified polymorphic DNA (PCR-RAPD) fingerprinting were performed with these isolates. All the isolates from peptic ulcer disease were relatively homogeneous in protein profiles, but they showed a great DNA sequence diversity by PCR-RAPD fingerprinting. In Chinese patients H. pylori demonstrated an enormous diversity. The diversity among clinical isolates of H. pylori could be distinctly demonstrated and this observation will be helpful in the management of intrafamilial and recurrent H. pylori infection. PCR-RAPD fingerprinting is an efficient method of distinguishing between clinical isolates of H. pylori.

Highlights: [•] More general forms of damping in terms of fractional derivative and time delay are investigated. [•] The damping characteristics in Duffing–van der Pol oscillators are taken as examples. [•] The steady state limit cycle bifurcations are solved by the residue harmonic balance. [•] Rapid convergence is obtained by solving linear ODE. [•] Qualitative differences in the damping characteristics for these dampers are found for the first time. [ABSTRACT FROM AUTHOR]