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{\displaystyle {\begin{aligned}&+n\mathrm {K} _{1}f_{1}(\mathrm {J} -y_{1})\times 3\sin 2(m-\mu _{1})t\\&+2n\chi _{2}f_{1}\mu _{1}\\&\quad \times \int x_{1}\left[{\overset {\backsim }{\Pi }}_{1}(a_{1},a_{2})\sin(\mu _{2}-\mu _{1})t+{\overset {\backsim }{\Pi }}_{2}(a_{1},a_{2})\sin 2(\mu _{2}-\mu _{1})t+\ldots \right]dt\\&+2n\chi _{3}f_{1}\mu _{1}\\&\quad \times \int x_{1}\left[{\overset {\backsim }{\Pi }}_{1}(a_{1},a_{3})\sin(\mu _{3}-\mu _{1})t+{\overset {\backsim }{\Pi }}_{2}(a_{1},a_{3})\sin 2(\mu _{3}-\mu _{1})t+\ldots \right]dt\\&+2n\chi _{4}f_{1}\mu _{1}\\&\quad \times \int x_{1}\left[{\overset {\backsim }{\Pi }}_{1}(a_{1},a_{4})\sin(\mu _{4}-\mu _{1})t+{\overset {\backsim }{\Pi }}_{2}(a_{1},a_{4})\sin 2(\mu _{4}-\mu _{1})t+\ldots \right]dt\\\\&+2n\mathrm {K} _{1}f_{1}\mu _{1}\int x_{1}\times 3\sin 2(m-\mu _{1})tdt\\&+2n\chi _{2}f_{1}\mu _{1}\\&\quad \times \int x_{2}\left[{\widehat {\Psi }}_{1}(a_{1},a_{2})\sin(\mu _{2}-\mu _{1})t+{\widehat {\Psi }}_{2}(a_{1},a_{2})\sin 2(\mu _{2}-\mu _{1})t+\ldots \right]dt\\&+2n\chi _{3}f_{1}\mu _{1}\\&\quad \times \int x_{3}\left[{\widehat {\Psi }}_{1}(a_{1},a_{3})\sin(\mu _{3}-\mu _{1})t+{\widehat {\Psi }}_{2}(a_{1},a_{3})\sin 2(\mu _{3}-\mu _{1})t+\ldots \right]dt\\&+2n\chi _{4}f_{1}\mu _{1}\\&\quad \times \int x_{4}\left[{\widehat {\Psi }}_{1}(a_{1},a_{4})\sin(\mu _{4}-\mu _{1})t+{\widehat {\Psi }}_{2}(a_{1},a_{4})\sin 2(\mu _{4}-\mu _{1})t+\ldots \right]dt\\\\&+2n\mathrm {K} _{1}f_{1}\mu _{1}\int \xi \times {\frac {9}{2}}\sin 2(m-\mu _{1})tdt\\+&2n\chi _{2}f_{1}\mu _{1}\\&\ \ \times \int (y_{2}-y_{1})\left[{\widehat {\Gamma }}_{1}(a_{1},a_{2})\cos(\mu _{2}-\mu _{1})t+2{\widehat {\Gamma }}_{2}(a_{1},a_{2})\cos 2(\mu _{2}-\mu _{1})t+\ldots \right]dt\\+&2n\chi _{3}f_{1}\mu _{1}\\&\ \ \times \int (y_{3}-y_{1})\left[{\widehat {\Gamma }}_{1}(a_{1},a_{3})\cos(\mu _{3}-\mu _{1})t+2{\widehat {\Gamma }}_{2}(a_{1},a_{3})\cos 2(\mu _{3}-\mu _{1})t+\ldots \right]dt\\+&2n\chi _{4}f_{1}\mu _{1}\\&\ \ \times \int (y_{4}-y_{1})\left[{\widehat {\Gamma }}_{1}(a_{1},a_{4})\cos(\mu _{4}-\mu _{1})t+2{\widehat {\Gamma }}_{2}(a_{1},a_{4})\cos 2(\mu _{4}-\mu _{1})t+\ldots \right]dt\\\\&-2n\mathrm {K} _{1}f_{1}x_{1}\int (\mathrm {J} -y_{1})\times 3\cos 2(m-\mu _{1})tdt\\(\mathrm {H} )&\ \ {\frac {dy_{1}}{dt}}+2\mu _{1}x_{1}-f_{1}\mathrm {H} _{1}-3n\mu x_{1}^{2}\\&+2n\chi _{2}f_{1}x_{1}\left[{\frac {{\widehat {\Gamma }}_{1}(a_{1},a_{2})}{\mu _{2}-\mu _{1}}}\cos(\mu _{2}-\mu _{1})t+{\frac {{\widehat {\Gamma }}_{2}(a_{1},a_{2})}{2(\mu _{2}-\mu _{1})}}\cos 2(\mu _{2}-\mu _{1})t+\ldots \right]\\&+2n\chi _{3}f_{1}x_{1}\left[{\frac {{\widehat {\Gamma }}_{1}(a_{1},a_{3})}{\mu _{3}-\mu _{1}}}\cos(\mu _{3}-\mu _{1})t+{\frac {{\widehat {\Gamma }}_{2}(a_{1},a_{3})}{2(\mu _{3}-\mu _{1})}}\cos 2(\mu _{3}-\mu _{1})t+\ldots \right]\\&+2n\chi _{4}f_{1}x_{1}\left[{\frac {{\widehat {\Gamma }}_{1}(a_{1},a_{4})}{\mu _{4}-\mu _{1}}}\cos(\mu _{4}-\mu _{1})t+{\frac {{\widehat {\Gamma }}_{2}(a_{1},a_{4})}{2(\mu _{4}-\mu _{1})}}\cos 2(\mu _{4}-\mu _{1})t+\ldots \right]\end{aligned}}}