Bursting Oscillation Structures and Dynamical Mechanics in Two Frequency Scales
Journal Title: 河南科技大学学报（自然科学版） - Year 2017, Vol 38, Issue 4
Abstract
A non-autonomous Duffing-van der Pol oscillator was taken as an example to explore the fast and slow coupling effects of different frequency scales, when there was a magnitude gap between the external forcing frequency and the natural frequency of the system. The stabilities and bifurcation behaviors of the fast subsystem were analyzed to obtain corresponding two-parameter bifurcation sets by fixing the slow forcing term.The bifurcation sets were divided into five areas, and the bursting oscillation patterns related to each area were analyzed. The bursting behaviers of point-point type ( e. g., symmetric fold/fold bursting and symmetric sub Hopf/sub Hopf bursting) and the bursting patterns of point-cycle type ( e. g., symmetric sub Hopf/fold cycle bursting and symmetric delayed sup Hopf/delayed sup Hopf bursting) were revealed. The results show that the coexistence of multiple solutions and multiple bifurcations of the fast subsystem plays a vital role in theinduction of various symmetric bursting oscillation patterns.
Authors and Affiliations
Fubing XIA, Xiujing HAN, Rui QU, Qinsheng BI
Keywords
Related Articles
- EP ID EP478091
- DOI -
- Views 70
- Downloads 0
Optimization of Shake Flask-ferment Conditions for Bacillus Lichenniformis B. LY02 Producing Cellulase
In order to improve the production of cellulase from Bacillus lichenniformis LY02( B. LY02) strain,the shake flask-ferment conditions of cellulase produced by B. LY02 were optimized by using single factor experiments. Th...
Design of U Disk High Speed Reading System
In order to prevent computer data from being stolen by the U disk and causing information leakage, a unidirectional high-speed reading U disk system based on optical fiber was proposed, which allowed the data to be accur...
Synthesization of o-amino Benzonic Acid Modified β-cyclodextrin and Palladium Catalyzed Heck Coupling Reaction in Aqueous Media
Taking o-amino benzonic acid andβ-CD as raw materials, mono- (6-o-amino benzonic acid-6-deoxy) -β-CD was synthesized and characterized by1H NMR and13C NMR.Heck coupling reaction was proceeded with high efficiency in aque...
Optimization Design of Automobile Sub-frame Based on Isight
A sub-frame finite element model was built for static strength and modal analysis. The static strength was found to be far smaller than the material yield strength( σs). Besides,the first frequency was too low which affe...
Calibration Method of Microscopic Damage Parameter Based on Power Exponential Hardening Model
The calibration of damage parameters were always the bottleneck of GTN microscopic damage model in engineering application. Whether parameter selection was reasonable or not directly affected the accuracy of the simulati...