| 来源类型 | Article |
| 规范类型 | 其他 |
| One-parameter bifurcations in planar Filippov systems. | |
| Kuznetsov YA; Rinaldi S; Gragnani A | |
| 发表日期 | 2003 |
| 出处 | International Journal of Bifurcation and Chaos 13 (8): 2157-2188. |
| 出版年 | 2003 |
| 语种 | 英语 |
| 摘要 | We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise smooth autonomous systems, here called Filippov systems. Bifurcations are defined using the classical approach of topological equivalence. This allows the development of a simple geometric criterion for classifying sliding bifurcations, i.e. bifurcations in which some sliding on the discontinuity boundary is critically involved. The full catalog of local and global bifurcations is given, together with explicit topological normal forms for the local ones. Moreover, for each bifurcation, a defining system is proposed that can be used to numerically compute the corresponding bifurcation curve with standard continuation techniques. A problem of exploitation of a predatorprey community is analyzed with the proposed methods. |
| 主题 | Adaptive Dynamics Network (ADN) |
| 关键词 | Continuation techniques Discontinuous piecewise smooth systems Filippov systems Sliding bifurcations |
| URL | http://pure.iiasa.ac.at/id/eprint/6817/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/128212 |
| 推荐引用方式 GB/T 7714 | Kuznetsov YA,Rinaldi S,Gragnani A. One-parameter bifurcations in planar Filippov systems.. 2003. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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