Abstract
We consider a specific family of three-dimensional differential systems whose vector field is continuous and piecewise linear, with two regions separated by a plane. After detecting a center configuration at infinity, we look for possible limit cycle bifurcation from such a center, by allowing parameter variations that do not destroy the center configuration.
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References
C. Buzzi, J. Llibre, J.C. Medrado, Periodic orbits for reversible quadratic vector fields on \(\mathbb{R}^3\). J. Math. Anal. Appl. 335, 1335–1346 (2007)
V. Carmona, E. Freire, E. Ponce, J. Ros, F. Torres, Limit cycle bifurcation in 3D continuous piecewise linear systems with two zones. Application to Chua’s circuit. Int. J. Bifurc. Chaos 15–10, 3153–3164 (2005)
E. Ponce, J. Ros, E. Vela, Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry. Phys. D 250, 3446 (2013)
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Freire, E., Ordóñez, M., Ponce, E. (2017). Limit Cycle Bifurcation from a Persistent Center at Infinity in 3D Piecewise Linear Systems with Two Zones. In: Colombo, A., Jeffrey, M., Lázaro, J., Olm, J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics(), vol 8. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55642-0_10
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DOI: https://doi.org/10.1007/978-3-319-55642-0_10
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Publisher Name: Birkhäuser, Cham
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