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Leto [7]
2 years ago
10

does the pair of equilibria produced by a saddle-node bifurcation have to consist of one that is stable and one that is unstable

?
Physics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

This bifurcation is called a saddle-node bifurcation. In it, a pair of hyperbolic equilibria, one stable and one unstable, coalesce at the bifurcation point, annihilate each other and disappear.

<h3>What is a bifurcation equilibria?</h3>
  • The mathematical study of changes in a family of curves' qualitative or topological structure, such as the integral curves of a family of vector fields or the solutions to a family of differential equations, is known as bifurcation theory.
  • A bifurcation happens when a tiny, gradual change in a system's parameter values (the bifurcation parameters) results in an abrupt, "qualitative," or topological change in the system's behavior.
  • This term is most frequently used to refer to the mathematical study of dynamical systems.
  • Both continuous systems (represented by ordinary, delay, or partial differential equations) and discrete systems can experience bifurcations (described by maps).

To learn more about bifurcation equilibria, refer to

brainly.com/question/14728055

#SPJ4

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