@inproceedings{95c095bc76e84d31a45978444ead1bc7,
title = "How to compute the Melnikov vector ?",
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.",
author = "Alaan Goriely and Michael Tabor",
year = "1994",
month = aug,
day = "1",
doi = "10.1145/190347.190418",
language = "English (US)",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
publisher = "Association for Computing Machinery",
pages = "205--210",
booktitle = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC 1994",
note = "1994 International Symposium on Symbolic and Algebraic Computation, ISSAC 1994 ; Conference date: 20-07-1994 Through 22-07-1994",
}