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Reversible Saddle-Node Separatrix-Loop Bifurcation

We describe the unfolding of a special variant of the codimension-two Saddle-Node Separatrix-Loop (SNSL) bifurcation that occurs in systems with time-reversibility. While the classical SNSL bifurcation can be characterized as the collision of a saddle-node equilibrium with a limit cycle, the reversible variant (R-SNSL) is characterised by as the ...
Burylko, Oleksandr   +2 more
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Breaking of symmetry in the saddle-node Hopf bifurcation

Physics Letters A, 1991
Abstract The normal form for the saddle-node Hopf bifurcation has an intrinsic symmetry which need not be present in nearby vector fields. Adding terms to the normal form which are incompatible with the symmetry leads to new bifurcation sequences which are organized by a pair of heteroclinic tangencies and by homoclinic bifurcations.
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Saddle-node bifurcations for hyperbolic sets

Ergodic Theory and Dynamical Systems, 2002
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Discontinuous impedance near a saddle-node bifurcation

Journal of Electroanalytical Chemistry, 1996
Jean-Paul Diard   +2 more
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On saddle-node bifurcation and chaos of satellites

Nonlinear Analysis: Theory, Methods & Applications, 1997
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