The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: the Arnol'd resonance web
, 2008 Henk Broer, Carles Simó, Renato Vitolo
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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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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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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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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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Accumulating regions of winding periodic orbits in optically driven lasers [PDF]
, 2001 We investigate the route to locking in class B lasers subject to optically injected light for injection strengths and detunings near a codimension-two saddle-node Hopf point.
Krauskopf, B, Wieczorek, Sebastian
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Unified model of voltage/current mode control to predict saddle-node bifurcation [PDF]
arXiv.org, 2012 A unified model of voltage mode control (VMC) and current mode control (CMC) is proposed to predict the saddle-node bifurcation (SNB). Exact SNB boundary conditions are derived, and can be further simplified in various forms for design purpose.
C. Fang
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Transient localized wave patterns and their application to migraine [PDF]
, 2012 Transient dynamics is pervasive in the human brain and poses challenging problems both in mathematical tractability and clinical observability. We investigate statistical properties of transient cortical wave patterns with characteristic forms (shape ...
Dahlem, Markus A, Isele, Thomas M
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