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A transcritical bifurcation in an immune response model
2014[abstract]
Oliveira, Bruno +3 more
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Transcritical and Hopf Bifurcation Analysis of Cyberattacks in Software-Defined Networking
IFAC-PapersOnLineB.O.S. Biaou +2 more
exaly +2 more sources
Invariants and stability of control systems with transcritical and saddle-node bifurcations
Proceedings of the 36th IEEE Conference on Decision and Control, 2002State feedback control of bifurcations with quadratic or cubic degeneracy is addressed. Based on normal forms and invariants of nonlinear control systems, the classification of bifurcations for systems with a single uncontrollable mode is obtained. Using invariants, characterizations of stability are derived for a family of bifurcations, including ...
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Transcritical bifurcation withO(3) symmetry
Nonlinearity, 2003Bifurcation from spherical symmetry occurs transcritically when the degree l of the spherical harmonics is even. In this case the leading-order bifurcation equations are completely determined by the symmetry. Several new results are presented concerning the existence or non-existence of solutions with dihedral symmetry in two-dimensional subspaces. For
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