pde2path is written and maintained by Hannes deWitt, Tomas Dohnal,
Jens Rademacher, Hannes Uecker, and Daniel Wetzel.
For bugs, questions or remarks please write to: pde2path -- at -- uni-oldenburg.de.
Any feedback is welcome. Abstract.
pde2path 2.4 is a continuation/bifurcation
package for systems of PDEs over bounded d-dimensional
domains, d=1,2,3, including features such as
nonlinear boundary conditions, cylinder and
torus geometries (i.e., periodic boundary conditions), and a
general interface for adding auxiliary equations like mass
conservation or phase equations for continuation of traveling waves.
The original version 1.0 was for elliptic systems in 2D and based on the Matlab
pdetoolbox, which since v2.3 has been more or less replaced by the free
package
OOPDE. Recent additions (v2.4) include the handling of multiple steady
bifurcation points, Branch point continuation and Hopf point continuation
via extended systems, continuation of relative equilibria (e.g., traveling waves and rotating waves), and branch switching from periodic orbits
(Hopf pitchfork/transcritical bifurcation, and period doubling).
License
pde2path 2.4 is free software; you can redistribute it and/or modify it under the terms of the GNU GPL as published by the Free Software Foundation. pde2path 2.4 is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY. See the GNU GPL for more details.
pde2path 2.4 comes with three third party libraries, OOPDE, TOM,
and pqzschur, with permission, and somewhat modified by the pde2path team.
If you want to redistribute (parts of) these libraries yet again, please first get in touch with the respective author to obtain more information on newer versions.
Your use of pde2path 2.4 implies that you agree to this License.
References.
A journal reference of the software (v1.0) and the (original) demos is
Here is the old preprint.
It also contains some details of the mathematics behind the
continuation and bifurcation, some mathematical and modeling background
on the example problems, and many references. When using
pde2path 2.* please also cite:
T. Dohnal, J. Rademacher, H. Uecker, D. Wetzel,
pde2path 2.0: multi-parameter continuation and periodic domains, in
Horst Ecker, Alois Steindl, Stefan Jakubek, eds,
ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference.
preprint.
H. Uecker,
Hopf bifurcation and time periodic orbits with pde2path - algorithms and applications, Communications in Computational Physics, doi: 10.4208/cicp.OA-2017-018, 2018.
preprint. Note that the Hopf algorithms have
since been significantly extended, see Hopf tutorial
