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: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

Departament de Física

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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.

Idioma original	Anglès
Pàgines (de-a)	333-348
Revista	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volum	62
DOIs	https://doi.org/10.1103/PhysRevE.62.333
Estat de la publicació	Publicada - 1 de jul. 2000

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10.1103/PhysRevE.62.333

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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",

month = jul,

day = "1",

doi = "10.1103/PhysRevE.62.333",

language = "English",

volume = "62",

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journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",

issn = "1063-651X",

publisher = "American Physical Society",

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

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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 - 10.1103/PhysRevE.62.333

DO - 10.1103/PhysRevE.62.333

M3 - Article

SN - 1063-651X

VL - 62

SP - 333

EP - 348

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

ER -

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

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