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2006.96: Imperfect homoclinic bifurcations

2006.96: Paul Glendinning, Jan Abshagen and Tom Mullin (2001) Imperfect homoclinic bifurcations. Physical Review E, 64 (3). 036208. ISSN 1539-3755

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DOI: 10.1103/PhysRevE.64.036208


Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an explicit mathematical model of the system.

Item Type:Article
Subjects:PACS 2003 > 02 Mathematical methods in physics
PACS 2003 > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems
MIMS number:2006.96
Deposited By:Professor Paul Glendinning
Deposited On:18 May 2006

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