Stochastic sensitivity and noise-induced bifurcations of limit cycles [PDF]
Applied Mathematical Sciences, 2013 Deformations of limit cycles for dynamical systems forced by random disturbances are studied. A mathematical tool based on stochastic sensitivity analysis is shortly presented. A phenomenon of noise-induced bifurcation of supersensitive limit cycle of randomly forced Brusselator is discussed.
Ryashko, L.
openaire +4 more sources
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
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 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
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
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
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
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
Self-excited vibration of whole vehicle with multiple limit cycles induced by shimmy of front wheels
Journal of Low Frequency Noise, Vibration and Active Control, 2020 Front wheel shimmy may induce the self-excited vibration of whole vehicle with multiple limit cycles. This kind of shimmy is difficult to control and can do great harm to the vehicle.
Daogao Wei +5 more
doaj +1 more source
Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations. [PDF]
PLoS ONE, 2011 Time delay is known to induce sustained oscillations in many biological systems such as electroencephalogram (EEG) activities and gene regulations. Furthermore, interactions among delay-induced oscillations can generate complex collective rhythms, which ...
Ikuhiro Yamaguchi +4 more
doaj +1 more source