Abstract
The Michelson system (6) x'''+x'+0.5x2 = c2 for the parame- ter value c = 1 is investigated. It was proven in (8) that the system possesses two odd periodic solutions. We shall show that there exist infinitely many homoclinic and heteroclinic connections between them. Moreover, we shall show that the family of homoclinic solutions contains a countable set of odd homoclinic solutions.
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