Bifurcation analysis of ion-acoustic waves in complex plasmas in the presence of adiabatic trapped electrons and warm ions is studied. Using bifurcation theory of dynamical structure, the Hamiltonian system inculpated electrostatic potential is derived. Effects of physical parameters, such as T and ${\sigma }_i$, are shown on the analytical solitary wave solution. The numerical results show that parameters T and ${\sigma }_i$ affect significantly on nonlinear electrostatic solitary waves. By adding an external periodic perturbation to unperturbed Hamiltonian system, we investigate quasiperiodic structure of the perturbed Hamiltonian system.

中文翻译：

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绝热俘获电子和热离子等离子体中离子声波的分叉分析

研究了在存在绝热俘获电子和热离子的情况下，复杂等离子体中离子声波的分叉分析。利用动力学结构的分岔理论，推导了哈密顿体系的静电势。物理参数（例如T和${\sigma }_{\mathrm{一世}}$，显示在解析孤波解上。数值结果表明，参数T和${\sigma }_{\mathrm{一世}}$对非线性静电孤立波有很大影响。通过将外部周期扰动添加到无扰动的哈密顿系统，我们研究了扰动的哈密顿系统的准周期结构。