Article
Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
Author/s | Carmona Centeno, Victoriano
![]() ![]() ![]() ![]() ![]() ![]() Fernández Sánchez, Fernando ![]() ![]() ![]() ![]() ![]() ![]() ![]() Teruel Aguilar, Antonio Esteban |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2008 |
Deposit Date | 2016-12-05 |
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Abstract | The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems. ... The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems. In this paper we give an analytical proof of the existence of a reversible T-point heteroclinic cycle in a continuous piecewise linear version of the widely studied Michelson system. The principal ideas of this proof can be extended to other piecewise linear systems. |
Citation | Carmona Centeno, V., Fernández Sánchez, F. y Teruel Aguilar, A.E. (2008). Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System. SIAM Journal on Applied Dynamical Systems, 7 (3), 1032-1048. |
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