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Peculiarities of equilibrium state bifurcations in transcritical mechanisms
Journal of Machinery Manufacture and Reliability, 2008Mechanisms with one degree of freedom whose position space is characterized by self-intersection at a specified value of a coupling parameter in the field of action of a potential force are considered. Bifurcations of equilibrium positions of transcritical mechanisms and their dependence on the properties of the potential energy in the vicinity of a ...
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A transcritical bifurcation in an immune response model
2014[abstract]
Oliveira, Bruno +3 more
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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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