Results 121 to 130 of about 25,515 (266)
Organization at criticality enables processing of time‐varying signals by receptor networks
Molecular Systems Biology, 2020 How cells utilize surface receptors for chemoreception is a recurrent question spanning between physics and biology over the past few decades. However, the dynamical mechanism for processing time‐varying signals is still unclear.
Angel Stanoev +2 more
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Constraining safe and unsafe overshoots in saddle-node bifurcations
Chaos: An Interdisciplinary Journal of Nonlinear ScienceWe consider a dynamical system undergoing a saddle-node bifurcation with an explicitly time-dependent parameter p(t). The combined dynamics can be considered a dynamical system where p is a slowly evolving parameter. Here, we investigate settings where the parameter features an overshoot. It crosses the bifurcation threshold for some finite duration te
Elias Enache +3 more
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Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey
Nonlinear AnalysisIn this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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Asymptotics of Dynamical Saddle-node Bifurcations
Nelineinaya Dinamika, 2022 Dynamical bifurcations occur in one-parameter families of dynamical systems, when the parameter is slow time. In this paper we consider a system of two nonlinear differential equations with slowly varying right-hand sides. We study the dynamical saddle-node bifurcations that occur at a critical instant.
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A planar model system for the saddle–node Hopf bifurcation with global reinjection [PDF]
, 2004 Bernd Krauskopf, Bart E. Oldeman
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Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping
Shock and Vibration, 2018 This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping ...
Liping Zhang, Haibo Jiang, Yang Liu
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Saddle-node bifurcation of homoclinic orbits in singular systems
Discrete & Continuous Dynamical Systems - A, 2001 The author studies the following singularly perturbed system \[ \dot \xi=f_0(\xi)+\varepsilon f_1(\xi ,\eta ,\varepsilon),\quad \dot \eta =\varepsilon g(\xi ,\eta ,\varepsilon) ,\tag{1} \] where \(\xi \in \Omega \subset \mathbb{R}^n\), \(\eta \in \mathbb{R}\) and \(\varepsilon \in \mathbb{R}\) is a small parameter. It is assumed that the boundary layer
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, 1993 Chemical mechanisms with oscillations or bistability undergo Hopf or saddle‐node bifurcations on parameter space hypersurfaces, which intersect in codimension‐2 Takens–Bogdanov bifurcation hypersurfaces.
B. L. Clarke, Wei-Feng Jiang
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Voltage Stability Bifurcation Analysis for AC/DC Systems with VSC-HVDC
Abstract and Applied Analysis, 2013 A voltage stability bifurcation analysis approach for modeling AC/DC systems with VSC-HVDC is presented. The steady power model and control modes of VSC-HVDC are briefly presented firstly.
Yanfang Wei +4 more
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