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 |
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| container_title | Nonlinear dynamics |
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| creator | Das, Debapriya Banerjee, Dhruba Bhattacharjee, Jayanta K. |
| description | 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. |
| doi_str_mv | 10.1007/s11071-014-1282-8 |
| format | Article |
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| ispartof | Nonlinear dynamics, 2014-07, Vol.77 (1-2), p.169-184 |
| issn | 0924-090X 1573-269X |
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| subjects | 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 |
| title | Super-critical and sub-critical Hopf bifurcations in two and three dimensions |
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