A geometric characterisation of resonance in Hopf bifurcation from relative equilibria
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Chan, D and Melbourne, I (2007) A geometric characterisation of resonance in Hopf bifurcation from relative equilibria PHYSICA D-NONLINEAR PHENOMENA, 234 (2). 98 - 104. ISSN 0167-2789
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Abstract
We give a new characterisation of resonance in Hopf bifurcation from relative equilibria in systems with compact symmetry group. This characterisation provides a full geometric explanation of the resonance phenomenon. In addition, we develop techniques based on normal form theory to give a complete solution to the associated bifurcation problem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Multidisciplinary, Physics, Mathematical, Mathematics, Physics, resonant Hopf bifurcation, relative periodic solutions, compact symmetry group, normal form, EXCITABLE MEDIA, ROTATING WAVES, SPIRAL WAVES, TRANSITION, DYNAMICS, MODEL, TIP |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 1398 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:40 |
| Last Modified: | 16 Feb 2013 16:29 |
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