次调和共振 meaning in English

subharmonic resonance

In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail . that is , the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied . in particular , the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance . subharmonic resonance , ultraharmonic resonance , and ultrasubharmonic resonance is discussed . it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation , subharmonic solution bifurcation , ultraharmonic solution bifurcation , ultrasubharmonic solution bifurcation and quasi - periodic solution
本文详细研究了具有限时滞li nard方程的周期扰动hopf分支，即在该系统经历hopf分支时，研究小周期扰动对系统的影响，特别是讨论了扰动频率与hopf分支周期解的固有频率在共振、次调和共振、超调和共振、超次调和共振的情形。