Results 11 to 20 of about 556,712 (359)
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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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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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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EuroIntervention, 2020 The 15th European Bifurcation Club (EBC) meeting was held in Barcelona in October 2019 and it facilitated a renewed consensus on coronary bifurcation lesions (CBL) and unprotected left main (LM) percutaneous interventions. Bifurcation stenting techniques
F. Burzotta +15 more
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Behavior Analysis of a Class of Discrete-Time Dynamical System with Capture Rate
Mathematics, 2022 In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed.
Xiongxiong Du, Xiaoling Han, Ceyu Lei
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Catheterization and cardiovascular interventions, 2020 Defining the optimal conduction of percutaneous‐coronary‐intervention (PCI) to treat bifurcation lesions has been the subject of many clinical studies showing that the applied stenting technique may influence clinical outcome.
F. Burzotta +17 more
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Oscillations and secondary bifurcations in nonlinear magnetoconvection [PDF]
, 1993 Complicated bifurcation structures that appear in nonlinear systems governed by partial differential equations (PDEs) can be explained by studying appropriate low-order amplitude equations.
A. M. Rucklidge +13 more
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Fractal and Fractional, 2022 In this work, we recall some definitions on fractional calculus with discrete-time. Then, we introduce a discrete-time Hopfield neural network (D.T.H.N.N) with non-commensurate fractional variable-order (V.O) for three neurons.
Rabia Chaimaà Karoun +3 more
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