Journal
NONLINEAR DYNAMICS
Volume 28, Issue 1, Pages 53-69Publisher
SPRINGER
DOI: 10.1023/A:1014917324652
Keywords
bifurcations; global bifurcations; homoclinic connections; T-points
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In this work we study the presence of T-points, a kind of codimension-two heteroclinic loop, in a Z(2)-symmetric electronic oscillator. Our analysis proves that, in the parameter plane, when the equilibria involved are saddle-focus, three spiraling curves of global codimension-one bifurcations emerge from this T-point, corresponding to homoclinic of the origin, homoclinic of the nontrivial equilibria and heteroclinic between the nontrivial equilibria connections. Some first-order features of these three curves are also shown. The analytical results, valid for all three-dimensional Z(2)-symmetric systems, are successfully checked in the modified van der Pol-Duffing electronic oscillator considered.
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