@article{popovic_geometric_2005,
	title = {A geometric analysis of logarithmic switchback phenomena},
	volume = {22},
	issn = {1742-6588, 1742-6596},
	url = {https://iopscience.iop.org/article/10.1088/1742-6596/22/1/011},
	doi = {10.1088/1742-6596/22/1/011},
	abstract = {One common characteristic of many classical singular perturbation problems is the occurrence of logarithmic (switchback) terms in the corresponding asymptotic expansions. We discuss two such problems well known to give rise to logarithmic switchback: first, Lagerstrom’s equation, a model related to the asymptotic treatment of low Reynolds number flow from fluid mechanics, and second, the Evans function approach to the stability of degenerate shock waves in (scalar) reaction-diffusion equations. We show how asymptotic expansions for these two problems can be obtained by means of methods from dynamical systems theory as well as of the blow-up technique. We identify the structure of these expansions and demonstrate that the occurrence of the logarithmic switchback terms therein is in fact caused by a resonance phenomenon.},
	language = {en},
	urldate = {2022-07-12},
	journal = {Journal of Physics: Conference Series},
	author = {Popović, N},
	month = jan,
	year = {2005},
	pages = {164--173},
}

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