Excitability in the vicinity of a saddle-node bifurcation: a mechanism for reversals
, 2008 We present a new mechanism for oscillatory or random reversals of the magnetic field that occur from a stationary dynamo state. The basic ingredient is the existence of two nearly critical dynamo eigenmodes, a stable and an unstable one, that collide during a saddle-node bifurcation.
François Pétrélis, S. Fauve
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On generation of a limit cycle from a separatrix loop of a sewn saddle-node [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2022 The article considers dynamical systems on the plane, defined by continuous piecewise smooth vector fields. Such systems are used as mathematical models of real processes with switching.
Roitenberg, Vladimir Shleymovich
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Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect
Mathematical Biosciences and Engineering, 2021 In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect.
Huanyi Liu +5 more
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Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2019 In this article we present the influence of a Hamiltonian saddle-node bifurcation on the high-dimensional phase space structures that mediate reaction dynamics.
V. J. García-Garrido +2 more
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Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
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Predicting saddle-node bifurcations using transient dynamics: a model-free approach
Nonlinear dynamics, 2023 This paper proposes a novel method for predicting the presence of saddle-node bifurcations in dynamical systems. The method exploits the effect that saddle-node bifurcations have on transient dynamics in the surrounding phase space and parameter space ...
Giuseppe Habib
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Reaction rates and the noisy saddle-node bifurcation: Renormalization group for barrier crossing [PDF]
, 2019 Barrier crossing calculations in chemical reaction-rate theory typically assume that the barrier is large compared to the temperature. When the barrier vanishes, however, there is a qualitative change in behavior. Instead of crossing a barrier, particles
David Hathcock, J. Sethna
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Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
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The bifurcation of constrained optimization optimal solutions and its applications
AIMS Mathematics, 2023 The appearance and disappearance of the optimal solution for the change of system parameters in optimization theory is a fundamental problem. This paper aims to address this issue by transforming the solutions of a constrained optimization problem into ...
Tengmu Li, Zhiyuan Wang
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