Two coupled systems with simultaneous saddle-node bifurcations require four parameters for generic unfolding, producing complex local and global bifurcations including novel codimension-two types, together with new numerical continuation techniques for tracking them.
Ansmann , author K
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Coupling threshold for extreme events in networked systems shows a power-law dependence on edge density and algebraic connectivity that holds across systems and extreme-event mechanisms.
citing papers explorer
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Local interaction of two systems with saddle-node bifurcations: mutualistic and mixed cases
Two coupled systems with simultaneous saddle-node bifurcations require four parameters for generic unfolding, producing complex local and global bifurcations including novel codimension-two types, together with new numerical continuation techniques for tracking them.
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Complex network topological and spectral determinants of extreme events
Coupling threshold for extreme events in networked systems shows a power-law dependence on edge density and algebraic connectivity that holds across systems and extreme-event mechanisms.