ABSTRACT The influence of intrapulse Raman scattering (IRS), self-steepening (SS) and third-order of dispersion (TOD) on the solutions of the complex cubic–quintic Ginzburg–Landau equation is studied by means of bifurcation analysis of the dynamical model. The numerical bifurcation diagram of the amplitude of the solution with respect to the nonlinear gain has revealed a cascade of bifurcations that leads to chaotic behaviour. We have found that the IRS leads to the larger shifts in positions and widths of the zones with different types of solutions in comparison to the influence of SS and TOD. Using numerical bifurcation diagrams of the amplitude of the solution with respect to the parameter describing IRS the following types of transformations have been identified: (a) from chaotic into two-periodic solution; (b) from two-periodic into a limit cycle; and (c) from a limit cycle into a stationary solution.

中文翻译：

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高阶效应对复三次-五次 Ginzburg-Landau 方程解的影响

摘要 通过动力学模型的分岔分析，研究了脉冲内拉曼散射 (IRS)、自陡峭 (SS) 和三阶色散 (TOD) 对复三次-五次 Ginzburg-Landau 方程解的影响. 解的幅度相对于非线性增益的数值分岔图揭示了导致混沌行为的分岔级联。我们发现，与 SS 和 TOD 的影响相比，IRS 导致具有不同类型解决方案的区域的位置和宽度发生更大的变化。使用解的幅度相对于描述 IRS 的参数的数值分岔图，已经确定了以下类型的变换： (a) 从混沌解到两周期解；(b) 从两个周期到一个极限周期；(c) 从极限环到平稳解。