Effects of periodic forcing on a Paleoclimate delay model - Supplementary material

Supplementary material for manuscript:<br>C. Quinn, J. Sieber, A. v. d. Heydt, <b>Effects of periodic forcing on a Paleoclimate delay model</b><br>arXiv:1808.02310<br>Contents:<br><b>heatmap_traj_quasiper.mp4 (</b>Animation)An animation of the comparison between trajectories in the bistable region (blue) and reference trajectories outside of the bistable region with same forcing strength (red).<br><b>U_basin_155.mp4 (</b>Animation)An animation of the moving basin of attraction for different forcing strengths of the periodic forcing.<br><b>Phi_basin_145.mp4</b> (Animation)An animation of the moving basin of attraction for different phases of the periodic forcing.<br><b>SupplementaryDescription.pdf </b> (PDF)Description of how one can modify the search circle (SC) algorithm for stable manifolds for maps.<br><b>matlabdemo.zip</b> (Matlab script)An example Matlab code to compute the stable manifold of saddle periodic orbit using implicit equation-free reduction.

本补充资料对应下述学术论文：<br>C. Quinn、J. Sieber、A. v. d. Heydt，**《古气候延迟模型的周期强迫效应》**<br>arXiv:1808.02310<br>内容如下：<br>**heatmap_traj_quasiper.mp4（动画）**：该动画对比了双稳态区域（bistable region）内的轨迹（蓝色）与相同强迫强度下双稳态区域外的参考轨迹（红色）。<br>**U_basin_155.mp4（动画）**：该动画演示了随周期强迫不同强度变化的动态吸引盆（basin of attraction）。<br>**Phi_basin_145.mp4（动画）**：该动画演示了随周期强迫不同相位变化的动态吸引盆。<br>**SupplementaryDescription.pdf（PDF文档）**：本PDF文档介绍了如何针对映射的稳定流形（stable manifold）修改搜索圆（Search Circle, SC）算法。<br>**matlabdemo.zip（Matlab脚本）**：本Matlab脚本压缩包包含示例代码，用于通过隐式无方程约简（implicit equation-free reduction）方法计算鞍点周期轨道（saddle periodic orbit）的稳定流形。