Zip and velcro bifurcations in competition models in ecology and economics
Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
2 Complexity Sciences Center, 9225 Collins Avenue Suite 1208, Surfside, FL 33154, USA
3 Instituto de Altos Estudos, Rua Silvino Lopes 419-2502, 58039-190 João Pessoa, Brazil
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Published online: 26 March 2020
During the last six years or so, a number of interesting papers discussed systems with line segments of equilibria, planes of equilibria, and with more general equilibrium configurations. This note draws attention to the fact that such equilibria were considered previously by Miklós Farkas (1932–2007), in papers published in 1984–2005. He called zip bifurcations those involving line segments of equilibria, and velcro bifurcations those involving planes of equilibria. We briefly describe prototypical situations involving zip and velcro bifurcations.
© The Author(s) 2020
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