Abstract
It is shown that transverse homoclinic intersections such as the ones described by the Melnikov theory can be computed by a local analysis of the complex-Time singularities of the solutions. This provides a new algorithmic procedure to compute homoclinic intersections in n-dimensions once the homoclinic manifold is known. It also gives new insights on the singularity structure of integrable and nonintegrable systems.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 |
| Publisher | Association for Computing Machinery |
| Pages | 205-210 |
| Number of pages | 6 |
| ISBN (Electronic) | 0897916387 |
| DOIs | |
| State | Published - Aug 1 1994 |
| Event | 1994 International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 - Oxford, United Kingdom Duration: Jul 20 1994 → Jul 22 1994 |
Publication series
| Name | Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC |
|---|---|
| Volume | Part F129423 |
Other
| Other | 1994 International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 |
|---|---|
| Country | United Kingdom |
| City | Oxford |
| Period | 7/20/94 → 7/22/94 |
ASJC Scopus subject areas
- Mathematics(all)
Fingerprint Dive into the research topics of 'How to compute the Melnikov vector ?'. Together they form a unique fingerprint.
Cite this
Goriely, A., & Tabor, M. (1994). How to compute the Melnikov vector ? In Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 (pp. 205-210). (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC; Vol. Part F129423). Association for Computing Machinery. https://doi.org/10.1145/190347.190418