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

doi:https://doi.org/10.1103/PhysRevE.62.333

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

Department of Physics

Research output: Contribution to journal › Article › Research › peer-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 language	English
Pages (from-to)	333-348
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	62
DOIs	https://doi.org/10.1103/PhysRevE.62.333
Publication status	Published - 1 Jul 2000

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

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.",

author = "J. Rius and M. Figueras and R. Herrero and F. Pi and J. Farjas and G. Orriols",

year = "2000",

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Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field. / Rius, J.; Figueras, M.; Herrero, R.; Pi, F.; Farjas, J.; Orriols, G.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 62, 01.07.2000, p. 333-348.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

AU - Rius, J.

AU - Figueras, M.

AU - Herrero, R.

AU - Pi, F.

AU - Farjas, J.

AU - Orriols, G.

PY - 2000/7/1

Y1 - 2000/7/1

N2 - 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.

AB - 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.

U2 - https://doi.org/10.1103/PhysRevE.62.333

DO - https://doi.org/10.1103/PhysRevE.62.333

M3 - Article

VL - 62

SP - 333

EP - 348

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

ER -

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

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