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| Content Provider | Springer Nature Link |
|---|---|
| Author | Yuan, Shao liang Jing, Zhu jun |
| Copyright Year | 2015 |
| Abstract | Josephson system with parametric excitation is investigated. Using second-order averaging method and Melnikov function, we analyze the existence and bifurcations for harmonic, (2, 3, n-order) subharmonics and (2, 3-order) superharmonics and the heterocilinic and homoclinic bifurcations for chaos under periodic perturbation. Using numerical simulation, we check our theoretical analysis and further study the effect of the parameters on dynamics. We find the complex dynamics, including the jumping behaviors, symmetry-breaking, chaos converting to periodic orbits, interior crisis, non-attracting chaotic set, interlocking (reverse) period-doubling bifurcations from periodic orbits, the processes from interlocking period-doubling bifurcations of periodic orbits to chaos after strange non-chaotic motions when the parameter β increases, etc. |
| Ending Page | 368 |
| Page Count | 34 |
| Starting Page | 335 |
| File Format | |
| ISSN | 01689673 |
| e-ISSN | 16183932 |
| Journal | Acta Mathematicae Applicatae Sinica |
| Issue Number | 2 |
| Volume Number | 31 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2015-06-19 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Melnikov method second-order averaging method Averaging method chaos bifurcations Theoretical, Mathematical and Computational Physics Bifurcation Complex behavior, chaotic systems Applications of Mathematics Math Applications in Computer Science Josephson system |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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