We study Sil'nikov saddle-focus homoclinic orbits paying particular attention to four and higher dimensions where two additional conditions are needed. Then we review Rodriguez's construction of a three-dimensional system with Sil'nikov saddle-focus homoclinic orbits and finally show how to construct higher-dimensional systems with such orbits.
A remark about Sil’nikov saddle focus homoclinic orbits / Battelli, Flaviano; K. J., Palmer. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - 10:3(2011), pp. 817-830. [10.3934/cpaa.2011.10.817]
A remark about Sil’nikov saddle focus homoclinic orbits
BATTELLI, Flaviano;
2011-01-01
Abstract
We study Sil'nikov saddle-focus homoclinic orbits paying particular attention to four and higher dimensions where two additional conditions are needed. Then we review Rodriguez's construction of a three-dimensional system with Sil'nikov saddle-focus homoclinic orbits and finally show how to construct higher-dimensional systems with such orbits.File in questo prodotto:
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