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[كتاب][B] Geometric singular perturbation theory beyond the standard form
M Wechselberger - 2020 - Springer
Many postgraduate students, postdocs and researchers ask me for 'textbook'references on
geometric singular perturbation theory and canard theory. Unfortunately, there is 'not much …
geometric singular perturbation theory and canard theory. Unfortunately, there is 'not much …
A general view on double limits in differential equations
In this paper, we review several results from singularly perturbed differential equations with
multiple small parameters. In addition, we develop a general conceptual framework to …
multiple small parameters. In addition, we develop a general conceptual framework to …
PID control of biochemical reaction networks
Principles of feedback control have been shown to naturally arise in biological systems and
have been applied with success to build synthetic circuits. Here, we present an …
have been applied with success to build synthetic circuits. Here, we present an …
A review of multiple-time-scale dynamics: Fundamental phenomena and mathematical methods
In this chapter, we review the most fundamental phenomena in differentiable, finite-
dimensional multiple-time-scale systems as well as the geometric singular perturbation …
dimensional multiple-time-scale systems as well as the geometric singular perturbation …
Rate-induced tip** to metastable zombie fires
Zombie fires in peatlands disappear from the surface, smoulder underground during the
winter, and 'come back to life'in the spring. They can release hundreds of megatonnes of …
winter, and 'come back to life'in the spring. They can release hundreds of megatonnes of …
Singularly perturbed problems with multi-tempo fast variables
GA Kurina, MA Kalashnikova - Automation and Remote Control, 2022 - Springer
The article contains a survey of publications studying problems characterized by the
presence of fast variables with various rates of change (time scales). We consider the …
presence of fast variables with various rates of change (time scales). We consider the …
Traveling pulses of coupled FitzHugh-Nagumo equations with doubly-diffusive effect
K Wang, Z Du, J Liu - Journal of Differential Equations, 2023 - Elsevier
This paper considers a kind of coupled FitzHugh-Nagumo (FHN) equations, combined the
classical FHN equations with the mechanics equation. The traveling pulses in coupled FHN …
classical FHN equations with the mechanics equation. The traveling pulses in coupled FHN …
A geometric analysis of the SIRS model with secondary infections
We propose a compartmental model for a disease with temporary immunity and secondary
infections. From our assumptions on the parameters involved in the model, the system …
infections. From our assumptions on the parameters involved in the model, the system …
Сингулярно возмущенные задачи с разнотемповыми быстрыми переменными
ГА Курина, МА Калашникова - Автоматика и телемеханика, 2022 - mathnet.ru
Статья содержит обзор публикаций, в которых исследуются задачи,
характеризующиеся наличием быстрых переменных с различными скоростями …
характеризующиеся наличием быстрых переменных с различными скоростями …
[HTML][HTML] Bifurcations of mixed-mode oscillations in three-timescale systems: An extended prototypical example
We study a class of multi-parameter three-dimensional systems of ordinary differential
equations that exhibit dynamics on three distinct timescales. We apply geometric singular …
equations that exhibit dynamics on three distinct timescales. We apply geometric singular …