Global Analysis of a Liénard System with Quadratic Damping
In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
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Analysis on dynamics and load sharing characteristics of herringbone tooth planetary gear system
A bending-torsion-axis coupling dynamic model of herringbone tooth planetary gear transmission system under time-varying meshing stiffness, tooth-side clearance and bearing clearance, integrated meshing error and load excitation was established, and the ...
JIN ZhongWen
doaj
Unfoldings of singular Hopf bifurcation [PDF]
Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameters, and the dynamics displayed by the normal forms is intricate. This paper analyzes a normal form for this bifurcation.
arxiv
Bifurcation structure of two coupled FHN neurons with delay [PDF]
This paper presents an investigation of the dynamics of two coupled non-identical FitzHugh-Nagumo neurons with delayed synaptic connection. We consider coupling strength and time delay as bifurcation parameters, and try to classify all possible dynamics which is fairly rich. The neural system exhibits a unique rest point or three ones for the different
arxiv
Periodic orbits, bifurcation diagrams and the spectroscopy of C2H2 system [PDF]
Rita Prosmiti, Stavros C. Farantos
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Chaos and Control in Coronary Artery System
Two types of coronary artery system N-type and S-type, are investigated. The threshold conditions for the occurrence of Smale horseshoe chaos are obtained by using Melnikov method.
Yanxiang Shi
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Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems [PDF]
Julián López-Gómez
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Codimension-two bifurcation analysis and chaos synchronization of a quarter-car vehicle model
In this study, codimension-two bifurcation analysis was used in conjunction with a novel control method to mediate chaos in a semi-active suspension system based on a quarter-car model with excitation introduced by the road surface profile.
Shun-Chang Chang, Jui-Feng Hu
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Regions of existence of critical motions for the generalized Kowalevski top and bifurcation diagrams [PDF]
The paper concludes the cycle of investigations on the bifurcation diagrams of the system with three degrees of freedom which describes the motion of an axially symmetric top with the Kowalevski conditions in a double force field. The explicit inequalities are obtained defining the conditions for the existence of the critical motions on the surfaces ...
arxiv
Bifurcation and phase diagram of turbulence constituted from three different scale-length modes* [PDF]
S-I Itoh, A. Kitazawa, M. Yagi, K. Itoh
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