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Graphing singularly perturbed differential equations based on Geometric Singular Perturbation Theory.

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Graphing Singularly Perturbed Differential Equations

Here is to display source code of graphs in the author's published papers on Slow-Fast Systems (a type of Singularly Perturbed Differential Equations) written in MATLAB scripts. The scripts were tested under MATLAB R2022a.

Ting-Hao Hsu and Gail S. K. Wolkowicz, A criterion for the existence of relaxation oscillations with applications to predator-prey systems and an epidemic model, Discrete Contin. Dyn. Syst. Ser. B, 25 (2020), pp.1257-1277. [doi:10.3934/dcdsb.2019219] [arXiv.1811.08307]

fig_SIN_ex2_epsilon fig_SIN_ex2_chi_lambda

Ting-Hao Hsu, Number and stability of relaxation oscillations for predator-prey systems with small death rates, SIAM J. Appl. Dyn. Syst., 18 (2019), pp. 33-67. [doi:10.1137/18M1166705] [arXiv.1801.02590]

fig_H2_epsilon fig_H2_epsilon

Ting-Hao Hsu and Shigui Ruan, Relaxation oscillations and the entry-exit function in multi-dimensional slow-fast systems, SIAM J. Math. Anal., 53 (2021), pp. 3717-3758. [doi:10.1137/19M1295507] [arXiv.1910.06318]

fig_trade_off_gamma fig_trade_off_epsilon

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Graphing singularly perturbed differential equations based on Geometric Singular Perturbation Theory.

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