Stability and bifurcation analysis of a delayed genetic oscillator model

2021 ◽  
Author(s):  
Chunyan Gao ◽  
Fangqi Chen
Keyword(s):  
Bifurcation Analysis ◽  
Oscillator Model ◽  
Genetic Oscillator ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis

SINGULARITY, SWITCHABILITY AND BIFURCATIONS IN A 2-DOF, PERIODICALLY FORCED, FRICTIONAL OSCILLATOR

2013 ◽  
Vol 23 (03) ◽  
pp. 1330009 ◽  
Author(s):  
ALBERT C. J. LUO ◽  
MOZHDEH S. FARAJI MOSADMAN
Keyword(s):  
Dynamical Systems ◽  
Bifurcation Analysis ◽  
Degrees Of Freedom ◽  
Eigenvalue Analysis ◽  
Analytical Dynamics ◽  
Periodic Motions ◽  
Stability And Bifurcation ◽  
Mapping Structures ◽  
Stability And Bifurcation Analysis ◽  
The Stability

In this paper, the analytical dynamics for singularity, switchability, and bifurcations of a 2-DOF friction-induced oscillator is investigated. The analytical conditions of the domain flow switchability at the boundaries and edges are developed from the theory of discontinuous dynamical systems, and the switchability conditions of boundary flows from domain and edge flows are presented. From the singularity and switchability of flow to the boundary, grazing, sliding and edge bifurcations are obtained. For a better understanding of the motion complexity of such a frictional oscillator, switching sets and mappings are introduced, and mapping structures for periodic motions are adopted. Using an eigenvalue analysis, the stability and bifurcation analysis of periodic motions in the friction-induced system is carried out. Analytical predictions and parameter maps of periodic motions are performed. Illustrations of periodic motions and the analytical conditions are completed. The analytical conditions and methodology can be applied to the multi-degrees-of-freedom frictional oscillators in the same fashion.

Stability and bifurcation analysis of the period-T motion of a vibroimpact energy harvester

2019 ◽  
Vol 98 (3) ◽  
pp. 1807-1819 ◽  
Author(s):  
Larissa Serdukova ◽  
Rachel Kuske ◽  
Daniil Yurchenko
Keyword(s):  
Bifurcation Analysis ◽  
Energy Harvester ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis
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