Releases | Open Source Science

Added lefschetz_cell_count which provides cell counts in each dimension.
Added lefschetz_newbasis which constructs a new Lefschetz complex via a graded basis change.
Added lefschetz_newbasis_maps which extends the previous function by also providing the involved isomorphisms.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.3.2

ConleyDynamics v0.3.2

Diff since v0.3.1

v0.3.2 (June 8, 2025)

Added sparse_inverse to compute the inverse of a sparse matrix

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.3.1

ConleyDynamics v0.3.1

Diff since v0.3.0

v0.3.1 (June 7, 2025)

Added lefschetz_reduction_maps. It computes the reduction of a Lefschetz complex based on a sequence of elementary reduction pairs, but also provides the involved chain equivalences and chain homotopies.
Added the new sparse matrix function sparse_zero, and changed the name of sparse_nonzero_count to sparse_nz_count.
Modified sparse_set_entry in the finite field case.
Added the helper function scalar_inverse.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.3.0

ConleyDynamics v0.3.0

Diff since v0.2.4

v0.3.0 (June 6, 2025)

This release does not contain any breaking changes. But the following new Lefschetz complex functionality and examples have been added since release 0.2.0:

Added lefschetz_interior to determine the interior of a Lefschetz complex subset, if the Lefschetz complex is interpreted as a finite topological space.
Added lefschetz_topboundary to determine the topological boundary in the above setting.
Added example_dunce_chaos. It constructs a Forman vector field on a minimal representation of the dunce hat which has a chaotic isolated invariant set with trivial Conley index.
Added example_torsion_chaos. It constructs a Forman vector field on a simplicial complex with torsion which has a chaotic isolated invariant set with trivial Conley index, for certain values of the field characteristic. In addition, an associated gradient vector field has large entries in the connection matrix.

In addition, and in anticipation of future extensions, more sparse matrix functions have been added:

The functions sparse_add, sparse_subtract, and sparse_scale perform sparse matrix addition, subtraction, and scalar multiplication. All of these functions can also be involved using the operators +, -, and *, respectively.
A new function sparse_nonzero_count determines the number of nonzero entries of a sparse matrix.

Closed issues: - JOSS: Substantial scholarly effort (#3)

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.2.4

ConleyDynamics v0.2.4

Diff since v0.2.3

v0.2.4 (June 2, 2025)

Added documentation for the functions example_dunce_chaos and example_torsion_chaos.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.2.3

ConleyDynamics v0.2.3

Diff since v0.2.2

v0.2.3 (May 12, 2025)

Added example_torsion_chaos. It constructs a Forman vector field on a simplicial complex with torsion which has a chaotic isolated invariant set with trivial Conley index, for certain values of the field characteristic. In addition, an associated gradient vector field has large entries in the connection matrix.
The documentation for this function still has to be written.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.2.2

ConleyDynamics v0.2.2

Diff since v0.2.1

v0.2.2 (May 11, 2025)

Added example_dunce_chaos. It constructs a Forman vector field on a minimal representation of the dunce hat which has a chaotic isolated invariant set with trivial Conley index.
The documentation for this function still has to be written.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.2.1

ConleyDynamics v0.2.1

Diff since v0.2.0

v0.2.1 (March 27, 2025)

Added lefschetz_interior to determine the interior of a Lefschetz complex subset, if the Lefschetz complex is interpreted as a finite topological space.
Added lefschetz_topboundary to determine the topological boundary in the above setting.

Scientific Software - Peer-reviewed - Julia
Published by github-actions[bot] about 1 year ago

ConleyDynamics.jl - v0.2.0

ConleyDynamics v0.2.0

Diff since v0.1.7

v0.2.0 (March 7, 2025)

This release does not contain any breaking changes. But the following new functionality has been added since release 0.1.0:

A function to easily create small Lefschetz complexes over GF(2).
Reduction of Lefschetz complexes via elementary reductions.
Basic functionality to work with filters and shallow pairs.
New functions to create triangulations for a number of sample topological spaces. These are mostly for demonstration purposes during teaching.