Results 91 to 100 of about 5,483 (218)
Nonautonomous saddle-node bifurcations: Random and deterministic forcing
Journal of Differential Equations, 2012 17 pages, 5 ...
Anagnostopoulou, V., Jäger, T.
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Time-scale separation at saddle point (A) and saddle node bifurcation (B-C).
, 2012 (A) A time-scale separation between the stable and unstable manifolds of the saddle point enhances its temporary attractivity. Trajectories (grey curves) converge to the unstable manifold (red dashed line) in the fast time-scale before sliding to a ...
Laura Trotta (177193) +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Bifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube. Bifurcation and dynamical analyses reveal heat transfer and entropy behavior at critical points.
Thoraya N. Alharthi, Qingkai Zhao
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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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Journal of Mathematics, Volume 2026, Issue 1, 2026.Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic state. In this study we investigated the discrete‐time Holling–Tanner predator–prey model.
Muhammad Rafaqat +6 more
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Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks
SIAM Journal on Applied Dynamical Systems, 2023 32 ...
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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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Chaos in driven Alfvén systems: unstable periodic orbits and chaotic saddles [PDF]
Nonlinear Processes in Geophysics, 2007 The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied.
A. C.-L. Chian +5 more
doaj
Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation
Discrete Dynamics in Nature and Society, 2015 A singular delayed biological economic predator-prey system with and without stochastic fluctuation is proposed. The conditions of singularity induced bifurcation are gained, and a state feedback controller is designed to eliminate such bifurcation ...
Xinyou Meng, Qingling Zhang
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Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’ [PDF]
, 2008 The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is analysed by means of a case study: a two-parameter model map G is constructed, such that at the central bifurcation the derivative has two complex conjugate ...
Simó, Carles, +10 more
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