scholarly journals A universal bifurcation mechanism arising from progressive hydroelastic waves

2021 ◽  
pp. 100315
Author(s):  
Zhan Wang
Keyword(s):  
Bifurcation Mechanism

scholarly journals Bifurcation Mechanism for Generation of Random Deep-Water Stokes Waves.

2000 ◽  
pp. 27-36
Author(s):  
Kiyohiro IKEDA ◽  
Nobuhito MORI ◽  
Takashi YASUDA
Keyword(s):  
Deep Water ◽  
Bifurcation Mechanism ◽  
Stokes Waves

scholarly journals An upper limit for slow-earthquake zones: self-oscillatory behavior through the Hopf bifurcation mechanism from a spring-block model under lubricated surfaces

2017 ◽  
Vol 24 (3) ◽  
pp. 419-433
Author(s):  
Valentina Castellanos-Rodríguez ◽  
Eric Campos-Cantón ◽  
Rafael Barboza-Gudiño ◽  
Ricardo Femat
Keyword(s):  
Hopf Bifurcation ◽  
Oscillatory Behavior ◽  
Block Model ◽  
Complex Dynamic ◽  
Seismic Parameters ◽  
Bifurcation Mechanism ◽  
Sustained Oscillations ◽  
Upper Limit ◽  
Slow Earthquakes ◽  
Frictional Coefficients

Abstract. The complex oscillatory behavior of a spring-block model is analyzed via the Hopf bifurcation mechanism. The mathematical spring-block model includes Dieterich–Ruina's friction law and Stribeck's effect. The existence of self-sustained oscillations in the transition zone – where slow earthquakes are generated within the frictionally unstable region – is determined. An upper limit for this region is proposed as a function of seismic parameters and frictional coefficients which are concerned with presence of fluids in the system. The importance of the characteristic length scale L, the implications of fluids, and the effects of external perturbations in the complex dynamic oscillatory behavior, as well as in the stationary solution, are take into consideration.

Complicated behaviors and bifurcation mechanism of the periodic parameter-switching Chen system

Optik ◽  
2017 ◽  
Vol 130 ◽  
pp. 568-575 ◽  
Author(s):  
Chun Zhang ◽  
Xiu-jing Han ◽  
Qinsheng Bi
Keyword(s):  
Chen System ◽  
Bifurcation Mechanism ◽  
Parameter Switching

scholarly journals Inference of the Arabidopsis Lateral Root Gene Regulatory Network Suggests a Bifurcation Mechanism That Defines Primordia Flanking and Central Zones

2015 ◽  
Vol 27 (5) ◽  
pp. 1368-1388 ◽  
Author(s):  
Julien Lavenus ◽  
Tatsuaki Goh ◽  
Soazig Guyomarc’h ◽  
Kristine Hill ◽  
Mikael Lucas ◽  
...  
Keyword(s):  
Gene Regulatory Network ◽  
Regulatory Network ◽  
Lateral Root ◽  
Bifurcation Mechanism ◽  
Gene Regulatory

Study on Dynamic Bifurcation of the Hindmarsh-Rose Neuron under Parameters’ Changing

2011 ◽  
Vol 341-342 ◽  
pp. 345-349
Author(s):  
Yue Ping Peng
Keyword(s):  
Dynamic Characteristics ◽  
Resting State ◽  
General Trend ◽  
Tonic Firing ◽  
Bifurcation Mechanism ◽  
Discharge Patterns ◽  
Stimulation Current ◽  
Bifurcation Process ◽  
Dynamic Bifurcation ◽  
Stimulation Of

In the thesis, the dynamic bifurcation characteristics of the Hindmarsh-Rose neuron are analyzed and discussed by the neurodynamic theory and methods. Under the stimulation of the current, the neuron’s discharge pattern changes from the resting state to the tonic firing, which needs the current’s amplitude reaching a certain value. Moreover the stimulation strength threshold has something to do with the parameterrof the neuron. When the stimulation current increases gradually, the general trend of the membrane potential’s ISI is the gradual decrease(The discharge frequency of the neuron increases gradually). The discharge patterns of the neuron are changed, and the neuron undergoes the process of dynamic bifurcation. This bifurcation process of the neuron has something to do with the parameterr. and different parameterrcauses different bifurcation. Under a certain current’s stimulation, the HR neuron has plenty of discharge patterns with the parameterr’s changing. From the view of neurodynamics, the discharge patterns of the HR neuron are changed, in substance, the HR neuron undergoes dynamic bifurcation process. Therefore, The HR neuron’s discharge patterns can be adjusted and controlled by the stimulation currentIand the parameterr. This investigation is helpful to know and investigate deeply the dynamic characteristics and the bifurcation mechanism of the HR neuron; and it provides a certain theory assist to investigate many neurons’ synchronization and the neural network’s synchronization.

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