Super-critical and sub-critical Hopf bifurcations in two and three dimensions

Super-critical and sub-critical Hopf bifurcations in two and three dimensions

Hopf bifurcations have been studied perturbatively under two broad headings, viz., super-critical and sub-critical. The criteria for occurrences of such bifurcations have been investigated using the renormalization group. The procedure has been described in detail for both two and three dimensions a...

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Veröffentlicht in:Nonlinear dynamics 2014-07, Vol.77 (1-2), p.169-184
Hauptverfasser: Das, Debapriya, Banerjee, Dhruba, Bhattacharjee, Jayanta K.
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Bifurcations
Classical Mechanics
Control
Criteria
Dynamical Systems
Engineering
Hopf bifurcation
Mathematical models
Mechanical Engineering
Nonlinear dynamics
Original Paper
Three dimensional
Three dimensional models
Vibration
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Beschreibung
Zusammenfassung:Hopf bifurcations have been studied perturbatively under two broad headings, viz., super-critical and sub-critical. The criteria for occurrences of such bifurcations have been investigated using the renormalization group. The procedure has been described in detail for both two and three dimensions and has been applied to several important models, including those by Lorenz and Rossler.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1282-8