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bifurcation 3

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Research on Bifurcation Property of Dike Rockfill of River Closure by End Dumping

He Changhai,Xiao Huanxiong,Hu Zhigen,Zhou Yihong

Strategic Study of CAE 2001, Volume 3, Issue 6, Pages 69-74

Abstract: Secondly, a micro model which describes the structure of the rockfill is adopted, and the research on the bifurcationequation, the type of its universal unfolding and its transition set is made by application of static bifurcationThe study result shows that different bifurcation phenomena of the static balance equation will happen

Keywords： river closure by end dumping slump static bifurcation singularity theory

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Nonlinear dynamics and analysis of a four-bar linkage with clearance

Yuanguang TANG, Zongyu CHANG, Xiaogang DONG, Yafei HU, Zhenjiang YU

Frontiers of Mechanical Engineering 2013, Volume 8, Issue 2, Pages 160-168 doi: 10.1007/s11465-013-0258-6

Abstract: Bifurcation diagram is used to suggest that bifurcation and fractal phenomena exist in the dynamic response

Keywords： four-bar linkage chaos bifurcation strange attractors dynamics

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Bifurcation-based fractional-order PI None

Karima RABAH, Samir LADACI, Mohamed LASHAB

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 2, Pages 180-191 doi: 10.1631/FITEE.1601543

Abstract: the nonlinear chaotic system is made based on the proportional-integral-derivative actions using the bifurcation

Keywords： Fractional order system Bifurcation diagram Fractional PIλDμ controller Multi-scroll Chen chaotic system

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Aircraft safety analysis based on differential manifold theory and bifurcation method None

Chi ZHOU, Ying-hui LI, Wu-ji ZHENG, Peng-wei WU

Frontiers of Information Technology & Electronic Engineering 2019, Volume 20, Issue 2, Pages 292-299 doi: 10.1631/FITEE.1700435

Abstract: In this study, the stall point and bifurcation point are confirmed using the bifurcation analysis, and

Keywords： Loss of control Safety envelope Aircraft dynamic Bifurcation analysis Differential manifold theory

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The nonlinear singularity phenomenon of low frequency oscillation in power system

Ma Jinglan,Wang Wei,Wan Jingsheng,Zhang Yongli

Strategic Study of CAE 2009, Volume 11, Issue 8, Pages 93-96

Abstract: In this paper, the inherent reason that causes LFO is discussed.With Hopf bifurcation theory, it is analyzedThe study indicates that because of the Hopf bifurcation, singularity phenomenon in the power system

Keywords： LFO bifurcation theory nonlinear singularity

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Stability and coupling dynamic behavior of nonlinear journal active electromagnetic bearing rotor system

LU Yanjun, HEI Di, WANG Yuan, DAI Rong, LU Yanjun, LIU Heng, YU Lie

Frontiers of Mechanical Engineering 2008, Volume 3, Issue 2, Pages 193-199 doi: 10.1007/s11465-008-0023-4

Abstract: and the Netwon-Raphson method is presented to calculate the critical speed at the corresponding Hopf bifurcationWith the change of control parameters, the system local stability and bifurcation behaviors are obtained

Keywords： proportional integral bifurcation corresponding integral differential predictor-corrector mechanism

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Dynamics analysis of a cracked dual-disk over-hung rotor-bearing system

CHEN Hong, LI He, WEN Bang-chun, ZHANG Xiao-wei

Frontiers of Mechanical Engineering 2006, Volume 1, Issue 2, Pages 204-208 doi: 10.1007/s11465-006-0002-6

Abstract: Its bifurcation and chaos characteristics are analyzed with crack fault and without crack fault.By analyzing the bifurcation plot, Poincare section plots and amplitude spectra, we found that the crack

Keywords： nonlinear oil-film diagnosis bifurcation dynamic numerical Runge-Kutta

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A new photosensitive neuron model and its dynamics Research Articles

Yong Liu, Wan-jiang Xu, Jun Ma, Faris Alzahrani, Aatef Hobiny,hyperchaos@163.com,hyperchaos@lut.edu.cn

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 9, Pages 1387-1396 doi: 10.1631/FITEE.1900606

Abstract: Biological neurons can receive inputs and capture a variety of external stimuli, which can be encoded and transmitted as different electric signals. Thus, the membrane potential is adjusted to activate the appropriate firing modes. Indeed, reliable s should take intrinsic biophysical effects and functional encoding into consideration. One fascinating and important question is the physical mechanism for the transcription of external signals. External signals can be transmitted as a transmembrane current or a signal voltage for generating action potentials. We present a model to estimate the nonlinear encoding and responses of neurons driven by external optical signals. In the model, a (phototube) is used to activate a simple FitzHugh-Nagumo (FHN) neuron, and then external optical signals (illumination) are imposed to excite the for generating a time-varying current/voltage source. The -coupled FHN neuron can therefore capture and encode external optical signals, similar to artificial eyes. We also present detailed analysis for estimating the mode transition and firing pattern selection of neuronal electrical activities. The sampled time series can reproduce the main characteristics of biological neurons (quiescent, spiking, , and even chaotic behaviors) by activating the in the neural circuit. These results could be helpful in giving possible guidance for studying neurodynamics and applying neural circuits to detect optical signals.

Keywords： Photosensitive neuron Neuron model Bifurcation Bursting Photocell

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Chaotic dynamics of a fractional order glucose-insulin regulatory system Research Articles

Karthikeyan Rajagopal, Atiyeh Bayani, Sajad Jafari, Anitha Karthikeyan, Iqtadar Hussain,rkarthiekeyan@gmail.com,atiyeh.bayani@yahoo.com,sajad.jafari@tdtu.edu.vn,mrs.anithakarthikeyan@gmail.com,iqtadarqau@gmail.com

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 7, Pages 1108-1118 doi: 10.1631/FITEE.1900104

Abstract: The fractional order model of a glucose-insulin regulatory system is derived and presented. It has been extensively proved in the literature that fractional order analysis of complex systems can reveal interesting and unexplored features of the system. In our investigations we have revealed that the glucose-insulin regulatory system shows and in its fractional order form. To show the effectiveness of fractional order analysis, all numerical investigations like stability of the equilibrium points, Lyapunov exponents, and plots are derived. Various biological disorders caused by an unregulated glucose-insulin system are studied in detail. This may help better understand the regulatory system.

Keywords： Diabetes mellitus Chaos Bifurcation Multistability Antimonotonicity