Solving bifurcation diagrams using fixed points as control parameters [PDF]
arXiv, 2013 We propose to determine the bifurcation diagrams of fixed points using their coordinates as control parameters. This method can lead to exact solutions to otherwise intractable bifurcation problems.
David Andrieux
arxiv +3 more sources
Templates and subtemplates of Rössler attractors from a bifurcation diagram [PDF]
, 2016 We study the bifurcation diagram of the R\"ossler system. It displays the various dynamical regimes of the system (stable or chaotic) when a parameter is varied. We choose a diagram that exhibits coexisting attractors and banded chaos. We use the topological characterization method to study these attractors.
Martin Rosalie
arxiv +3 more sources
Research on the complex dynamical behavior of H-bridge inverter with RLC load [PDF]
Scientific ReportsComplex dynamical behaviors such as bifurcation and chaos exist in H-bridge inverter with RLC load, and these nonlinear behaviors will greatly increase the harmonic content of the output current and reduce the stability and reliability of the system.
Mingjian Wu +3 more
doaj +2 more sources
Transition characteristics of the dynamic behavior of a vehicle wheel-rail vibro-impact system
Electronic Research Archive, 2023 A two-degree-of-freedom vehicle wheel-rail impact vibration system model is developed, and the equivalent impact stiffness and damping of the rail are fitted applying ABAQUS, taking into account the high and low irregularity generated by the welded ...
Yang Jin, Wanxiang Li, Hongbing Zhang
doaj +1 more source
Shock and Vibration, 2021 In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani ...
Li Ding +6 more
doaj +1 more source
From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method. [PDF]
Nonlinear DynSykora HT, Beregi S.
europepmc +2 more sources
An infinite semipositone problem with a reversed S-shaped bifurcation curve
Electronic Research Archive, 2023 We study positive solutions to the two point boundary value problem: $ \begin{equation*} \begin{matrix}Lu = -u'' = \lambda \bigg\{\dfrac{A}{u^\gamma}+M\big[u^\alpha+u^\delta\big]\bigg\} \; ;\; (0, 1) \\ u(0) = 0 = u(1 ...
Amila Muthunayake +2 more
doaj +1 more source
Nonlinear Model and Dynamic Behavior of Photovoltaic Grid-Connected Inverter
Applied Sciences, 2020 A photovoltaic grid-connected inverter is a strongly nonlinear system. A model predictive control method can improve control accuracy and dynamic performance.
Zhi-Xian Liao +7 more
doaj +1 more source
Bifurcation analysis of motoneuronal excitability mechanisms under normal and ALS conditions
Frontiers in Cellular Neuroscience, 2023 IntroductionBifurcation analysis allows the examination of steady-state, non-linear dynamics of neurons and their effects on cell firing, yet its usage in neuroscience is limited to single-compartment models of highly reduced states.
Muhammad Moustafa +5 more
doaj +1 more source
Entropy Complexity and Stability of a Nonlinear Dynamic Game Model with Two Delays
Entropy, 2016 In this paper, a duopoly game model with double delays in hydropower market is established, and the research focus on the influence of time delay parameter on the complexity of the system.
Zhihui Han +3 more
doaj +1 more source