Results 11 to 20 of about 311,588 (266)
Proceedings of the American Mathematical Society, 1964 A description of the classical bifurcation problem will be found in Minorsky [1, Chapter V] and Andronov and Chaikin [2, Chapter 6]. Here the functions fi and f2 are required to be analytic and the proof depends on the series expansion guaranteed by the analyticity. In [3, Chapter IV, ?6], K. 0.
Paul Waltman
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Stokes flows in a two-dimensional bifurcation. [PDF]
R Soc Open Sci, 2023 The flow network model is an established approach to approximate pressure-flow relationships in a bifurcating network, and has been widely used in many contexts. Existing models typically assume unidirectional flow and exploit Poiseuille's law, and thus neglect the impact of bifurcation geometry and finite-sized objects on the flow.
Xue Y, Payne SJ, Waters SL.
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A study on the temperature profile of bifurcation tunnel fire under natural ventilation.
PLoS ONE, 2022 This study simulated a series of bifurcation tunnel fire scenarios using the numerical code to investigate the temperature profile of bifurcation tunnel fire under natural ventilation.
Jianlong Zhao +3 more
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PLoS ONE, 2022 Aim To investigate the characteristics of coronary artery bifurcation type (parallel or perpendicular type) using three-dimensional (3D) optical coherence tomography (OCT), and determine the feasibility, reproducibility, assessment time and correlation ...
Takashi Nishimura +10 more
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Bifurcation phenomena in a single-species reaction-diffusion model with spatiotemporal delay
AIMS Mathematics, 2021 In this paper we investigate bifurcation phenomena in a single-species reaction-diffusion model with spatiotemporal delay under the conditions of the weak and strong kernel functions.
Gaoxiang Yang, Xiaoyu Li
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Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
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Hopf bifurcation control of the ML neuron model with Hc bifurcation type
Electronic Research Archive, 2022 It is shown that many neurological diseases are caused by the changes of firing patterns induced by bifurcations. Therefore, the bifurcation control may provide a potential therapeutic method of these neurodegenerative diseases.
Qinghua Zhu, Meng Li, Fang Han
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Bifurcations of transition states: Morse bifurcations [PDF]
Nonlinearity, 2014 A transition state for a Hamiltonian system is a closed, invariant, oriented, codimension-2 submanifold of an energy-level that can be spanned by two compact codimension-1 surfaces of unidirectional flux whose union, called a dividing surface, locally separates the energy-level into two components and has no local recrossings.
Robert S. MacKay, Dayal C. Strub
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Bifurcation and criticality [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2019 Equilibrium and nonequilibrium systems exhibit power-law singularities close to their critical and bifurcation points respectively. A recent study has shown that biochemical nonequilibrium models with positive feedback belong to the universality class of the mean-field Ising model.
Sayantari Ghosh, Indrani Bose
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The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
Discrete Dynamics in Nature and Society, 2023 In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
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