為揭示時(shí)間尺度上力學(xué)系統(tǒng)對(duì)稱(chēng)性與守恒量?jī)?nèi)在關(guān)系,文章研究時(shí)間尺度上廣義Birkhoff系統(tǒng)準(zhǔn)對(duì)稱(chēng)性與守恒量。首先,由時(shí)間尺度上的廣義Pfaff-Birkhoff原理出發(fā),建立時(shí)間尺度上廣義Birkhoff系統(tǒng)運(yùn)動(dòng)微分方程;其次,研究該系統(tǒng)準(zhǔn)對(duì)稱(chēng)性的判據(jù),并在時(shí)間變化和時(shí)間不變兩種情形下分別給出其守恒量;最后,舉例說(shuō)明結(jié)果的應(yīng)用。

【文章頁(yè)數(shù)】：7 頁(yè)

【文章目錄】：
1 Introduction
2 Time scale calculus and its properties
3 Generalized Birkhoff equations on time scales
4 Quasi-symmetry and conserved quantity on time scales
    4.1 Conserved quantity without transforming the time
    4.2 Conserved quantity with transforming the time and the coordinates
5 Example
6 Conclusion



本文編號(hào)：4034747