Bursting oscillations in a hydro-turbine governing system with two time scales<xref rid="cpb_26_12_128202fn1" ref-type="fn">*</xref> <fn id="cpb_26_12_128202fn1"> <label>*</label> <p>Project supported by the Scientific Research Foundation of the National Natural Science Foundation of China–Outstanding Youth Foundation (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University, China (Grant No. 2013BSJJ095), the Science Fund for Excellent Young Scholars from Northwest A & F University (Grant No. Z109021515), and the Shaanxi Provincial Nova Program, China (Grant No. 2016KJXX-55).</p> </fn>

Bursting oscillations in a hydro-turbine governing system with two time scales* *

Project supported by the Scientific Research Foundation of the National Natural Science Foundation of China–Outstanding Youth Foundation (Grant No. 51622906), the National Natural Science Foundation of China (Grant No. 51479173), the Fundamental Research Funds for the Central Universities, China (Grant No. 201304030577), the Scientific Research Funds of Northwest A & F University, China (Grant No. 2013BSJJ095), the Science Fund for Excellent Young Scholars from Northwest A & F University (Grant No. Z109021515), and the Shaanxi Provincial Nova Program, China (Grant No. 2016KJXX-55).

Han Qing-Shuang¹, Chen Di-Yi^{1, 2, †}, Zhang Hao¹

(color online) Time waveform and phase orbit of the non-autonomous HTGS with two time scales at k_d = 3.96. (a) Time waveform with m_t–t, (b) phase orbit with m_t–x, (c) local amplification of the time waveform with 1800 < time < 2000, and (d) local amplification of the phase orbit with m_t–x.