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Register a new userUser guide on Hopf bifurcation and time periodic orbits with pde2path
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Hannes Uecker
Publication date
2019
fields
Informatics Engineering
and research's language is
English
Authors
Hannes Uecker
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We explain the setup for using the pde2path libraries for Hopf bifurcation and continuation of branches of periodic orbits and give implementation details of the associated demo directories. See [Uecker, Comm. in Comp. Phys., 2019] for a description of the basic algorithms and the mathematical background of the examples. Additionally we explain the treatment of Hopf bifurcations in systems with continuous symmetries, including the continuation of traveling waves and rotating waves in O(2) equivariant systems as relative equilibria, the continuation of Hopf bifurcation points via extended systems, and some simple setups for the bifurcation from periodic orbits associated to critical Floquet multipliers going through +-1.
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We describe by means of some examples how some functionality of the mesh adaptation package trullekrul can be used in pde2path.
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