The simplest normal form of resonant double Hopf bifurcation was studied based on Lie operator. The coefficients of the simplest normal forms of resonant double Hopf bifurcation and the nonlinear transformations in te...The simplest normal form of resonant double Hopf bifurcation was studied based on Lie operator. The coefficients of the simplest normal forms of resonant double Hopf bifurcation and the nonlinear transformations in terms of the original system coefficients were given explicitly. The nonlinear transformations were used for reducing the lower- and higher-order normal forms, and the rank of system matrix was used to determine the coefficient of normal form which could be reduced. These make the gained normal form simpler than the traditional one. A general program was compiled with Mathematica. This program can compute the simplest normal form of resonant double Hopf bifurcation and the non-resonant form up to the 7th order.展开更多
Technology plays a key role in today＇s business environment. Many companies greatly rely on computers and software to provide accurate information to effectively manage their business processes. It is becoming increa...Technology plays a key role in today＇s business environment. Many companies greatly rely on computers and software to provide accurate information to effectively manage their business processes. It is becoming increasingly necessary for all businesses to incorporate information technology solutions to operate successfully. One way for many corporations to adopt information technology （IT） on a large scale is by installing enterprise resource planning （ERP） systems to accomplish their business transactions and data-processing needs. ERP systems are software packages that enable the integration of business processes throughout an organization. This study aims to determine the effect of the ERP system on the cost of auditing period compared with traditional computerized （non-ERP） systems. According to cost analysis, the study also points out the changes in audit price. The methodology used in this research is survey-based data collection. The questionnaires are sent to auditors who are working with companies with ERP systems. The answers are processed and analyzed using Statistical Package for Social Sciences （SPSS） 20. The data are performed using the statistical test to determine the effect of ERP usage on the cost of auditing process and pricing policy of auditors. The findings of this study are： （1） Companies with ERP systems are reducing their auditing costs; and （2） Auditing companies are not implying a low rate of price to their customers using ERP.展开更多
基金Supported by National Natural Science Foundation of China(No. 10372068).
文摘The simplest normal form of resonant double Hopf bifurcation was studied based on Lie operator. The coefficients of the simplest normal forms of resonant double Hopf bifurcation and the nonlinear transformations in terms of the original system coefficients were given explicitly. The nonlinear transformations were used for reducing the lower- and higher-order normal forms, and the rank of system matrix was used to determine the coefficient of normal form which could be reduced. These make the gained normal form simpler than the traditional one. A general program was compiled with Mathematica. This program can compute the simplest normal form of resonant double Hopf bifurcation and the non-resonant form up to the 7th order.
文摘Technology plays a key role in today＇s business environment. Many companies greatly rely on computers and software to provide accurate information to effectively manage their business processes. It is becoming increasingly necessary for all businesses to incorporate information technology solutions to operate successfully. One way for many corporations to adopt information technology （IT） on a large scale is by installing enterprise resource planning （ERP） systems to accomplish their business transactions and data-processing needs. ERP systems are software packages that enable the integration of business processes throughout an organization. This study aims to determine the effect of the ERP system on the cost of auditing period compared with traditional computerized （non-ERP） systems. According to cost analysis, the study also points out the changes in audit price. The methodology used in this research is survey-based data collection. The questionnaires are sent to auditors who are working with companies with ERP systems. The answers are processed and analyzed using Statistical Package for Social Sciences （SPSS） 20. The data are performed using the statistical test to determine the effect of ERP usage on the cost of auditing process and pricing policy of auditors. The findings of this study are： （1） Companies with ERP systems are reducing their auditing costs; and （2） Auditing companies are not implying a low rate of price to their customers using ERP.
