On bifurcation points of the stationary Vlasov-Maxwell system with bifurcation direction [PDF]
arXiv, 2000 The theorem on the existence of bifurcation points of the stationary solutions for the Vlasov-Maxwell system with bifurcation direction is proved.
arxiv
Coulomb-actuated microbeams revisited: experimental and numerical modal decomposition of the saddle-node bifurcation. [PDF]
Microsyst Nanoeng, 2021 Melnikov A +7 more
europepmc +1 more source
Structural Conditions for Saddle-Node Bifurcations in Chemical Reaction Networks
SIAM Journal on Applied Dynamical Systems, 2023 32 ...
openaire +2 more sources
, 1993 Voltage collapse and blackout can occur in an electric power system when load powers vary so that the system loses stability in a saddle node bifurcation.
I. Dobson, L. Lu
semanticscholar +1 more source
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
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
doaj +1 more source
Using Nyquist or Nyquist-Like Plot to Predict Three Typical Instabilities in DC-DC Converters
, 2012 By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters.
Al-Mothafar +24 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
doaj +1 more source