Results 91 to 100 of about 577,183 (211)
The Non-Autonomous Saddle Node Bifurcation
Journal of Computational MathemticaThis work explores the phenomenon of saddle-node bifurcation in both autonomous and non-autonomous dynamical systems. The classical autonomous case is illustrated through a simple differential equation that demonstrates the creation and annihilation of fixed points as a system parameter varies.
Geethalakshmi S +2 more
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上海师范大学学报. 自然科学版In this paper, we propose two predator-prey dynamical systems where the prey follows power-law growth and the predation rate depends on the ratio of the two species. We investigate the stabilities and bifurcations of the equilibria to the two system. For
QIAO Zhiyuan +3 more
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Voltage Stability Bifurcation Analysis for AC/DC Systems with VSC-HVDC
Abstract and Applied Analysis, 2013 A voltage stability bifurcation analysis approach for modeling AC/DC systems with VSC-HVDC is presented. The steady power model and control modes of VSC-HVDC are briefly presented firstly.
Yanfang Wei +4 more
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Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]
, 1998 A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid +6 more
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Existence and uniqueness of a saddle-node bifurcation point for nonlinear equations in general domains [PDF]
This paper provides a direct method of establishing the existence and uniqueness of saddle-node bifurcations for nonlinear equations in general domains.
Il'yasov, Yavdat
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Saddle‐Node Bifurcation and Homoclinic Persistence in AFMs with Periodic Forcing
Mathematical Problems in Engineering, 2019 We study the dynamics of an atomic force microscope (AFM) model, under the Lennard‐Jones force with nonlinear damping and harmonic forcing. We establish the bifurcation diagrams for equilibria in a conservative system. Particularly, we present conditions that guarantee the local existence of saddle‐node bifurcations.
Alexánder Gutiérrez Gutiérrez +2 more
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Nonlinear AnalysisThis paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
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A finding of the maximal saddle-node bifurcation for systems of differential equations
, 2023 A variational method is presented for directly finding the bifurcation point of nonlinear equations as the saddle-node point of the extended nonlinear Rayleigh quotient.
Il'yasov, Yavdat
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Near Saddle-Node Bifurcation Behavior as Dynamics in Working Memory for Goal-Directed Behavior
, 1998 In consideration of working memory as a means for goal-directed behavior in nonstationary environments, we argue that the dynamics of working memory should satisfy 3 Current correspondence: RIKEN, Frontier Research Program, Lab.
Hiroyuki Nakahara, Kenji Doya
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Emergence of ultradiscrete states due to phase lock caused by saddle-node bifurcation in discrete limit cycles [PDF]
, 2023 Dynamical properties of limit cycles in a tropically discretized negative feedback model are numerically investigated. This model has a controlling parameter $\tau$, which corresponds to time interval for the time evolution of phase in the limit cycles ...
Ohmori, Shousuke, Yamazaki, Yoshihiro
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