# The ampsys tool of pde2path

@article{Uecker2019TheAT, title={The ampsys tool of pde2path}, author={Hannes Uecker and Daniel Wetzel}, journal={arXiv: Pattern Formation and Solitons}, year={2019} }

The computation of coefficients of amplitude systems for Turing bifurcations is a straightforward but sometimes elaborate task, in particular for 2D or 3D wave vector lattices. The Matlab tool ampsys automates such computations for two classes of problems, namely scalar equations of Swift-Hohenberg type and generalizations, and reaction-diffusion systems with an arbitrary number of components. The tool is designed to require minimal user input, and for a number of cases can also deal with…

## 2 Citations

### Pattern formation with pde2path -- a tutorial.

- Mathematics
- 2019

A focus is on new p de2path functions for branch switching at steady bifurcation points of higher multiplicity, typically due to discrete symmetries, but general concepts of pattern formation and their handling in pde2path are reviewed.

### Snaking branches of planar BCC fronts in the 3D Brusselator

- PhysicsPhysica D: Nonlinear Phenomena
- 2020

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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…

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For a Selkov--Schnakenberg model as a prototype reaction-diffusion system on two dimensional domains we use the continuation and bifurcation software pde2path to numerically calculate branches of…

### Pattern formation with pde2path -- a tutorial.

- Mathematics
- 2019

A focus is on new p de2path functions for branch switching at steady bifurcation points of higher multiplicity, typically due to discrete symmetries, but general concepts of pattern formation and their handling in pde2path are reviewed.

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