SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

Autor:	Enrique Tirapegui, Pablo C. Encina, Marcel G. Clerc
Rok vydání:	2008
Předmět:	Period-doubling bifurcation Classical mechanics Bifurcation theory Transcritical bifurcation Applied Mathematics Modeling and Simulation Saddle-node bifurcation Eigenfunction Bifurcation diagram Engineering (miscellaneous) Instability Bifurcation Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 18:1905-1915
ISSN:	1793-6551 0218-1274
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d7b32642c6048aa475deaa410d71d409 https://doi.org/10.1142/s0218127408021440 Zobrazit plný text záznamu