Results 11 to 20 of about 290,434 (306)
The Pitchfork Bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2017 We present the development of a new theory of the pitchfork bifurcation, which removes the perspective of the third derivative and a requirement of symmetry.
Indika Rajapakse, Steve Smale
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IEEE Transactions on Automatic Control, 2004 A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the nearby solution curves.
Krener, Arthur J. +2 more
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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.
MacKay, Robert S., Strub, Dayal C.
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Singularity bifurcations [PDF]
Journal of Macroeconomics, 2006 equation models represent an important class of macroeconomic systems. Our ongoing research (He and Barnett (2003)) on the Leeper and Sims (1994) Euler equations macroeconometric model is revealing the existence of singularity-induced bifurcations, when the model¡¯s parameters are within a confidence region about the parameter estimates. Although known
Yijun He, William Barnett
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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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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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Computational Analysis and Bifurcation of Regular and Chaotic Ca2+ Oscillations
Mathematics, 2021 This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
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JACC: Cardiovascular Interventions, 2020 OBJECTIVES The aim of this study was to compare clinical outcomes of different bifurcation percutaneous coronary intervention (PCI) techniques. BACKGROUND Despite several randomized trials, the optimal PCI technique for bifurcation lesions remains a ...
Giuseppe Di Gioia +21 more
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Study on the Compatibility of Multi-Bifurcations by Simulations of Pattern Formation
IEEE Access, 2019 Bifurcation is considered the main mathematical mechanism for the formation of spatial self-organizing patterns in many studies. When bifurcation was initially defined, only the transition of the system from stable state to unstable state or from uniform
Feifan Zhang +4 more
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Bifurcation phenomena in magnetically confined toroidal plasmas
Advances in Physics: X, 2020 Bifurcation phenomena observed in turbulence and transport, in topology of magnetic field and MHD, and the interplay between turbulence and MHD bifurcation in magnetically confined toroidal plasmas are reviewed.
K. Ida
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