Geometric singular perturbation analysis of a three-timescale coupled reduced Hodgkin–Huxley system

Mathematics and Computers in Simulation, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 1, 2025

Language: Английский

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A conceptual framework for modeling a latching mechanism for cell cycle regulation

Mathematical Biosciences, Journal Year: 2025, Volume and Issue: unknown, P. 109396 - 109396

Published: Feb. 1, 2025

Language: Английский

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Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(5)

Published: May 1, 2024

The Koper model is a prototype system with two slow variables and one fast variable that possesses small-amplitude oscillations (SAOs), large-amplitude (LAOs), mixed-mode (MMOs). In this article, we study pair of identical oscillators are symmetrically coupled. Strong symmetry breaking rhythms presented the types SAO-LAO, SAO-MMO, LAO-MMO, MMO-MMO, in which simultaneously exhibit different types. We identify key folded nodes serve as primary mechanisms responsible for strong nature breaking. maximal canards these guide orbits through neighborhoods points. For all present, exhibited by separated phase space oscillator.

Language: Английский

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Dynamic analysis of phytoplankton–zooplankton–fish singular perturbation system on three time-scales

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 190, P. 115711 - 115711

Published: Nov. 20, 2024

Language: Английский

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