Results 81 to 90 of about 65,659 (224)
Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay
Abstract and Applied Analysis, 2014 We consider a model for gene expression with one or two time delays and diffusion. The local stability and delay-induced Hopf bifurcation are investigated.
Yahong Peng, Tonghua Zhang
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Control of dynamic Hopf bifurcations [PDF]
Nonlinearity, 1999 The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device.
openaire +3 more sources
Impedance Spectroscopy of Bifurcation Oscillations in S‐Type Self‐Oscillatory Devices
Advanced Physics Research, Volume 5, Issue 7, July 2026.Impedance spectroscopy (IS) reveals stability regimes and bifurcation dynamics in S‐type self‐oscillatory devices. By linking nonlinear control theory with frequency‐domain measurements, experimental signatures of oscillations, entrainment, and phase locking are directly identified.
Gonzalo Rivera‐Sierra +5 more
wiley +1 more source
Human Brain Mapping, Volume 47, Issue 10, July 2026.We used fMRI data from a trial in psychedelic‐naïve healthy participants to show that psilocybin increases dynamic fronto‐striatal‐thalamic activity 4 weeks after dosing. Computational models revealed that reduced structure–function coupling is consistent with the emergence of increased activity dynamics, as well as increased bottom‐up and reduced top ...
Lorenzo Pasquini +14 more
wiley +1 more source
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System
, 2021 We study the Hopf and the fold--Hopf bifurcations of the R\"ossler--type differential system * =-y-z, =x ay, =-cz byz, * with b 0. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold--Hopf bifurcation ...
Tigan, Gheorghe +2 more
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Fermionic quantization of Hopf solitons [PDF]
, 2006 In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd.
Speight, J.Martin, Krusch, Steffen
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Multimode Phonon Lasing via Self‐Induced Optical Coherent Pumping
Laser &Photonics Reviews, Volume 20, Issue 13, 8 July 2026.A silicon optomechanical nanobeam generates self‐sustained phonon lasing in multiple competing mechanical modes via self‐pulsing, an intrinsic optical modulation arising from cavity nonlinearity. This self‐organized mechanism enables robust multi‐frequency operation spanning periodic, quasi‐periodic, and chaotic regimes without external modulation. The
David Alonso Tomás +5 more
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Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Journal of Applied Mathematics, 2014 We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf ...
Wenju Du +5 more
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Zero-Hopf Bifurcations of 3D Quadratic Jerk System
Mathematics, 2020 This paper is devoted to local bifurcations of three-dimensional (3D) quadratic jerk system. First, we start by analysing the saddle-node bifurcation. Then we introduce the concept of canonical system.
Bo Sang, Bo Huang
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The effect of noise on pitchfork and Hopf bifurcations [PDF]
, 1997 We present the results of an experimental and numerical investigation into the effects of noise on pitchfork and Hopf bifurcations. Good quantitative agreement is found between calculations and experiment.
Mullin, T., Darbyshire, A.G., Juel, A.
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