Artículo de revista
SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION
Fecha
2008-07Registro en:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS Volume: 18 Issue: 7 Pages: 1905-1915 Published: JUL 2008
0218-1274
Autor
Clerc Gavilán, Marcel
Encina, Pablo C.
Tirapegui Zurbano, Enrique
Institución
Resumen
A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction. We construct a simple mechanical system, Shilnikov particle, which exhibits this quasi-reversal instability and displays its chaotic behavior.