correct docs, update to julia 1.8 for docs (documentation.yml)

.github/workflows/documentation.yml

@@ -16,7 +16,7 @@ jobs:
       - uses: actions/checkout@v2
       - uses: julia-actions/setup-julia@v1
         with:
-          version: '1.6'
+          version: '1.8'
       - name: Install dependencies
         run: julia --project=docs/ -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate()'
       - name: Build and deploy

docs/src/branchswitching.md

@@ -63,9 +63,7 @@ An example of use is provided in [2d generalized Bratu–Gelfand problem](@ref).
 
 In order to compute the bifurcated branch of periodic solutions at a Hopf bifurcation point, you need to choose a method to compute periodic orbits among:
 
-- [Periodic orbits based on Trapezoidal rule](@ref)
 - [Periodic orbits based on orthogonal collocation](@ref)
-- [Periodic orbits based on the shooting method](@ref)
 
 Once you have decided which method to use, you use the following call:
 
@@ -77,44 +75,4 @@ continuation(br::ContResult, ind_HOPF::Int, _contParams::ContinuationPar,
 
 We refer to [`continuation`](@ref) for more information about the arguments. Here, we just say a few words about how we can specify `prob::AbstractPeriodicOrbitProblem`.
 
-- For [Periodic orbits based on Trapezoidal rule](@ref), you can pass `PeriodicOrbitTrapProblem(M = 51)` where `M` is the number of times slices in the periodic orbit.
-
 - For [Periodic orbits based on orthogonal collocation](@ref), you can pass `PeriodicOrbitOCollProblem(M, m)` where `M` is the number of times slices in the periodic orbit and `m` is the degree of the collocation polynomials.
-
-- For [Periodic orbits based on the shooting method](@ref), you need more parameters. For example, you can pass `ShootingProblem(M, odeprob, Euler())` or `PoincareShootingProblem(M, odeprob, Euler())` where `odeprob::ODEProblem` (see [`DifferentialEquations.jl`](https://diffeq.sciml.ai/stable/types/ode_types/)) is an ODE problem to specify the Cauchy problem amd `M` is the number of sections.
-
-Several examples are provided in [1d Brusselator (automatic)](@ref) or [2d Ginzburg-Landau equation (finite differences, codim 2, Hopf aBS)](@ref).
-
-> See [Branch switching (Hopf point)](@ref) for the precise method definition
-
-## Branch switching from Branch / Period-doubling point of curve of periodic orbits
-
-We do not provide (for now) the associated normal forms to these bifurcations of periodic orbits. As a consequence, the user is asked to provide the amplitude of the bifurcated solution.
-
-We provide the branching method for the following methods to compute periodic orbits: [`PeriodicOrbitTrapProblem`](@ref),[`ShootingProblem`](@ref) and [`PoincareShootingProblem`](@ref). The call is as follows. Please note that a deflation is included in this method to simplify branch switching.
-
-An example of use is provided in [Period doubling in Lur'e problem (PD aBS)](@ref).
-
-```julia
-continuation(br::AbstractBranchResult, ind_PD::Int, contParams::ContinuationPar;
-	δp = 0.1, ampfactor = 1, usedeflation = false, kwargs...)
-```
-
-## Branch switching from Bogdanov-Takens (BT) point to Fold / Hopf curve
-
-We provide an automatic branch switching method in this case (see for example [Extended Lorenz-84 model (codim 2 + BT/ZH aBS)](@ref) or [2d Ginzburg-Landau equation (finite differences, codim 2, Hopf aBS)](@ref)). Hence, you can perform automatic branch switching by calling `continuation` with the following options:
-
-```julia
-continuation(br::ContResult, ind_BT::Int,
-	options_cont::ContinuationPar = br.contparams;
-	δp = nothing, ampfactor::Real = 1,
-	nev = options_cont.nev,
-	detectCodim2Bifurcation::Int = 0,
-	startWithEigen = false,
-	autodiff = false,
-	Teigvec = getvectortype(br),
-	scaleζ = norm,
-	kwargs...)
-```
-
-where `ind_BT` is the index of the BT point in `br`. Note that the BT has been detected during Fold or Hopf continuation. Calling the above method thus switches from Fold continuation to Hopf continuation (and vice-versa) automatically with the same parameter axis.