Bifurcation Analysis of a Stochastically Driven Limit Cycle [PDF]
, 2018 We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent.
Engel, Maximilian +2 more
core +2 more sources
Nuclear Fusion, 2023 The correlation between the bifurcation of resonant magnetic perturbations (RMPs) to the unshielded state and edge localized mode (ELM) suppression in ASDEX Upgrade is studied using a kinetic plasma response model numerically and analytically.
Markus Markl +10 more
doaj +1 more source
Modified tangent vector‐based voltage stability constrained optimal power flow considering limit‐induced bifurcation [PDF]
IET Generation, Transmission & Distribution, 2020 A modified tangent vector (TV)‐based voltage stability constrained optimal power flow method is proposed. The proposed method determines an optimal stable equilibrium point (SEP) satisfying the required voltage stability margin (VSM) considering limit‐induced bifurcation (LIB).
Shota Omi, Yasuyuki Shirai
openaire +1 more source
Dynamics of a map with power-law tail [PDF]
, 2009 We analyze a one-dimensional piecewise continuous discrete model proposed originally in studies on population ecology. The map is composed of a linear part and a power-law decreasing piece, and has three parameters.
Avrutin V +11 more
core +3 more sources
Dynamics of on-off neural firing patterns and stochastic effects near a sub-critical Hopf bifurcation. [PDF]
PLoS ONE, 2015 On-off firing patterns, in which repetition of clusters of spikes are interspersed with epochs of subthreshold oscillations or quiescent states, have been observed in various nervous systems, but the dynamics of this event remain unclear. Here, we report
Gu Huaguang +3 more
doaj +1 more source
Thermally-induced transverse mode instability: Hopf bifurcation in high-power fiber laser
Results in Physics, 2022 The thermally-induced transverse mode instability (TMI) has become a major challenge for further enhancing the output power of single-mode fiber laser.
Wei Gao +5 more
doaj +1 more source
Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]
, 2016 We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another.
Ashwin, Peter +2 more
core +2 more sources
Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment [PDF]
, 2014 Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations.
Feoktistov, A. +4 more
core +2 more sources
What can a mean-field model tell us about the dynamics of the cortex? [PDF]
, 2010 In this chapter we examine the dynamical behavior of a spatially homogeneous two-dimensional model of the cortex that incorporates membrane potential, synaptic flux rates and long- and short-range synaptic input, in two spatial dimensions, using ...
Gillies, Iain-Patrick +5 more
core +2 more sources
Two Nested Limit Cycles in Two-Species Reactions
Mathematics, 2020 We search for limit cycles in the dynamical model of two-species chemical reactions that contain seven reaction rate coefficients as parameters and at least one third-order reaction step, that is, the induced kinetic differential equation of the reaction
Ilona Nagy +2 more
doaj +1 more source