CAJ | 학술논문

应用半数值近似解析方法验证分析Duffing振子倍周期分岔规律理论结论；用增量谐波平衡法获得高精度高阶谐波半数值近似解析解。该验证过程可弥补实验方法精度提高难及数值方法需通过计算高频分辨率频谱方能有效分析的缺点。结果表明，该分析方法与Feigenbaum理论结论较吻合，证明理论结论的正确性。
응용반수치근사해석방법험증분석Duffing진자배주기분차규률이론결론；용증량해파평형법획득고정도고계해파반수치근사해석해。해험증과정가미보실험방법정도제고난급수치방법수통과계산고빈분변솔빈보방능유효분석적결점。결과표명，해분석방법여Feigenbaum이론결론교문합，증명이론결론적정학성。
Applying the semi-numerical approximate analytical algorithm, the property of period-doubling bifurcations of Duffing oscillator was verified and analyzed.High order with high precision harmonic approximate analytical solution of Duffing oscillator was obtained by incremental harmonic balance method.This verifying and analyzing process can reach higher precision than experimental methods and do not need to compute the frequency spectrum with high frequency resolution.The results are in agreement with those by Feigenbaum's theory.