In this paper, we consider a more degenerate version of the well-known slow-fast planar C ∞ differential system with a small parameter 0 ≤ ε ≪ 1 and a ...

It is shown that the limiting attracting and repulsion points of the orbits near a critical curve of the slow-fast system are determined by the entry-exit ...

In this paper, we consider a more degenerate version of the well-known slow-fast planar C∞ differential system with a small parameter 0 ≤ ε 1 and a turning ...

Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms.

Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems · Cheng Wang,; Xiang Zhang · Abstract · PDF ...

Jul 3, 2023 · Singularities of slow manifolds cause a variety of phenomena including delay of stability loss and canard explosion. (see e.g. [2], [3], [4] ...

Aug 27, 2022 · We study delayed loss of stability in a class of fast–slow systems with two fast variables and one slow one, where the linearisation of the fast ...

The slow relation function is indeed closely related to the concept of delayed loss of stability [1, 51] , and is also important in fractal analysis of ...

May 15, 2020 · The entry-exit theorem for the phenomenon of delay of stability loss for certain types of slow-fast planar systems plays a key role in ...

Sep 25, 2020 · Wang and Zhang considered the stability loss delay and smoothness of the return map in slow-fast systems [19]. Ambrosio et al. addressed the ...