Results 31 to 40 of about 25,515 (266)
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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Scholarpedia, 2006 For the following differential equation, sketch all of the qualitatively different vector fields that occur as r is varied. Show that a saddle-node bifurcation occurs at the critical value r = r c.
Y. Kuznetsov
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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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Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Mathematical Biosciences and Engineering, 2023 We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities.
Zhenliang Zhu +3 more
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Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
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Analysis of modified Holling-Tanner model with strong Allee effect
Mathematical Biosciences and Engineering, 2023 In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first.
Kunlun Huang, Xintian Jia, Cuiping Li
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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Spatial Effects of Phase Dynamics on Oscillators Close to Bifurcation
Mathematics, 2023 The phase reduction approach has manifested its efficacy in investigating synchronization behaviors in limit-cycle oscillators. However, spatial distributions of the phase value on the limit cycle may lead to illusions of synchronizations for oscillators
Yihan Wang, Jinjie Zhu
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