diff --git a/Project.toml b/Project.toml
index 21f28355..a15e627f 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "DynamicalSystemsBase"
 uuid = "6e36e845-645a-534a-86f2-f5d4aa5a06b4"
 repo = "https://github.com/JuliaDynamics/DynamicalSystemsBase.jl.git"
-version = "3.13.1"
+version = "3.13.2"
 
 [deps]
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
diff --git a/src/derived_systems/parallel_systems.jl b/src/derived_systems/parallel_systems.jl
index 8be652ec..b2c410be 100644
--- a/src/derived_systems/parallel_systems.jl
+++ b/src/derived_systems/parallel_systems.jl
@@ -63,10 +63,23 @@ function ParallelDynamicalSystem(ds::CoreDynamicalSystem, states::Vector{<:Abstr
         pds = CoupledODEs(prob, ds.diffeq; internalnorm = inorm)
     end
     M = ds isa CoupledODEs && isinplace(ds)
-    prob = referrenced_sciml_prob(ds)
+    prob = referrenced_sciml_prob(ds) 
     return ParallelDynamicalSystemAnalytic{typeof(pds), M}(pds, dynamic_rule(ds), prob)
 end
 
+function ParallelDynamicalSystem(smap::StroboscopicMap,states)
+    f, st = parallel_rule(smap.ds, states)
+    T = eltype(first(st))
+    prob = ODEProblem{true}(f, st, (T(initial_time(smap)), T(Inf)), current_parameters(smap))
+    inorm = prob.u0 isa Matrix ? matrixnorm : vectornorm
+    cont_pds = CoupledODEs(prob, smap.ds.diffeq; internalnorm = inorm)
+    pds = StroboscopicMap(cont_pds,smap.period)
+
+    M = smap.ds isa CoupledODEs && isinplace(smap.ds)
+    prob = referrenced_sciml_prob(smap.ds)
+    return ParallelDynamicalSystemAnalytic{typeof(pds), M}(pds, dynamic_rule(smap), prob)
+end
+
 function ParallelDynamicalSystem(ds::CoreDynamicalSystem, mappings::Vector{<:Dict})
     # convert to vector of arrays:
     u = Array(current_state(ds))
@@ -164,6 +177,14 @@ function set_state!(pdsa::PDSAM, u::AbstractArray, i::Int = 1)
     return pdsa
 end
 
+
+function set_state!(pdsa::PDSAM{<: StroboscopicMap}, u::AbstractArray, i::Int = 1)
+    current_state(pdsa, i) .= u
+    u_modified!(pdsa.ds.ds.integ, true)
+    return pdsa
+end
+
+
 # We make one more extension here: for continuous time, in place systems
 # the state is a matrix (each column a parallel state) for performance.
 # re-init will not work because there is no way to do the recursive copy. we do it ourselves
@@ -210,7 +231,7 @@ current_states(pdtds::PDTDS) = [current_state(ds) for ds in pdtds.systems]
 initial_states(pdtds::PDTDS) = [initial_state(ds) for ds in pdtds.systems]
 
 # Set stuff
-set_parameter!(pdtds::PDTDS) = for ds in pdtds.systems; set_parameter!(ds, args...); end
+set_parameter!(pdtds::PDTDS,index,value) = for ds in pdtds.systems; set_parameter!(ds, index,value); end
 function set_state!(pdtds::PDTDS, u, i::Int = 1)
     # We need to set state in all systems, in case this does
     # some kind of resetting, e.g., the `u_modified!` stuff.
diff --git a/test/parallel.jl b/test/parallel.jl
index 808521ec..430b51b7 100644
--- a/test/parallel.jl
+++ b/test/parallel.jl
@@ -98,7 +98,7 @@ for (ds, idt, iip) in zip(
 end
 
 @testset "parallel stroboscopic" begin
-# Generic Parallel
+
 @inbounds function duffing_rule(x, p, t)
     ω, f, d, β = p
     dx1 = x[2]
@@ -122,10 +122,44 @@ states = [u0, u0 .+ 0.01]
 pds_cont_oop = ParallelDynamicalSystem(duffing_oop, states)
 pds_cont_iip = ParallelDynamicalSystem(duffing_iip, deepcopy(states))
 
+#generic ds test 
 @testset "IIP=$iip" for (ds, iip) in zip((pds_cont_oop, pds_cont_iip,), (true, false))
     test_dynamical_system(ds, u0, p0; idt = true, iip = true, test_trajectory = false)
 end
+
+#tests for multistate stuff
+
+#alteration
+states = [ones(2) for i in 1:2]
+p = p0 .+ 0.1
+for i in 1:2
+    set_state!(pds_cont_oop,states[i],i)
+    set_state!(pds_cont_iip,states[i],i)
+end
+set_parameters!(pds_cont_oop,p)
+set_parameters!(pds_cont_iip,p)
+
+#obtaining info
+@test all(current_states(pds_cont_oop) .== states)
+@test all(current_states(pds_cont_iip) .== states)
+@test all(current_parameters(pds_cont_oop) .== p)
+@test all(current_parameters(pds_cont_iip) .== p)
+
+#time evolution
+step!(pds_cont_oop)
+@test all(current_states(pds_cont_oop)[1] .== current_states(pds_cont_oop)[2])
+step!(pds_cont_iip)
+@test all(current_states(pds_cont_iip)[1] .== current_states(pds_cont_iip)[2])
+
+#reinit!
+reinit!(pds_cont_oop)
+reinit!(pds_cont_iip)
+@test all(current_states(pds_cont_oop) .== initial_states(pds_cont_oop))
+@test all(current_states(pds_cont_iip) .== initial_states(pds_cont_iip))
+
 end
 
 # TODO: Test that Lyapunovs of this match the original system
-# But test this in ChaosTools.jl
\ No newline at end of file
+# But test this in ChaosTools.jl
+
+#benchmarks, comparison with old version
\ No newline at end of file