Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

J. Rius, M. Figueras, R. Herrero, F. Pi, J. Farjas, G. Orriols

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

The linear stability analysis can indicate the occurrence of successive Hopf bifurcations on the fixed points when the parameter is varied and the nonlinearity of the system will guarantee the generation of successive limit cycles. One of the cycles will probably be initially stable while the rest will be saddle cycles of different types.
Original languageEnglish
Pages (from-to)333-348
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
DOIs
Publication statusPublished - 1 Jul 2000

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