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get_steady_states does not find all solutions when using a harmonic at 0 #202

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bestlerm opened this issue Jul 17, 2024 · 2 comments
Closed

get_steady_states does not find all solutions when using a harmonic at 0 #202

bestlerm opened this issue Jul 17, 2024 · 2 comments
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dependency issue This issue is caused by a dependency. wontfix This will not be worked on

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@bestlerm
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bestlerm commented Jul 17, 2024 •
edited
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Describe the bug

I am trying to solve for the steady state of a harmonic potential in the laboratory frame. HarmonicBalance does not find a solution, although the solution is x=0. Adding a Duffing nonlinearity to the problem makes HarmonicBalance find all solutions again.

I know that this is not how harmonic balance is intended to be used, but the bug itself is still strange and should be fixed.

Expected behavior

Harmonic Balance should find the solution at x=0

Minimal Reproducible Example

This works:

using HarmonicBalance

@variables t, x(t), k, c;

forces = [
    -(c*k*x+c*k*x^3)
]

diff_eq = DifferentialEquation(forces, x)

add_harmonic!(diff_eq, x, 0)

harmonic_eq = get_harmonic_equations(diff_eq)

fixed = (c=>1)
varied = (k => LinRange(1,2,100))

@time result = get_steady_states(harmonic_eq, varied, fixed, method=:total_degree)

This does not work:

using HarmonicBalance

@variables t, x(t), k, c;

forces = [
    -(c*k*x)
]

diff_eq = DifferentialEquation(forces, x)

add_harmonic!(diff_eq, x, 0)

harmonic_eq = get_harmonic_equations(diff_eq)

fixed = (c=>1)
varied = (k => LinRange(1,2,100))

@time result = get_steady_states(harmonic_eq, varied, fixed, method=:total_degree)

Error & Stacktrace

No solutions found!

Stacktrace:
 [1] error(s::String)
   @ Base .\error.jl:35
 [2] get_steady_states(prob::Problem, swept_parameters::OrderedCollections.OrderedDict{Symbolics.Num, Vector{Union{Float64, ComplexF64}}}, fixed_parameters::OrderedCollections.OrderedDict{Symbolics.Num, Float64}; method::Symbol, threading::Bool, show_progress::Bool, sorting::String, classify_default::Bool, seed::Nothing, kwargs::@Kwargs{})
   @ HarmonicBalance C:\Users\Markus\.julia\packages\HarmonicBalance\R2B0L\src\solve_homotopy.jl:144
 [3] get_steady_states
   @ C:\Users\Markus\.julia\packages\HarmonicBalance\R2B0L\src\solve_homotopy.jl:103 [inlined]
 [4] get_steady_states(p::Problem, swept::Pair{Symbolics.Num, LinRange{Float64, Int64}}, fixed::Pair{Symbolics.Num, Int64}; kwargs::@Kwargs{method::Symbol})
   @ HarmonicBalance C:\Users\Markus\.julia\packages\HarmonicBalance\R2B0L\src\solve_homotopy.jl:174
 [5] get_steady_states
   @ C:\Users\Markus\.julia\packages\HarmonicBalance\R2B0L\src\solve_homotopy.jl:173 [inlined]
 [6] #get_steady_states#89
   @ C:\Users\Markus\.julia\packages\HarmonicBalance\R2B0L\src\solve_homotopy.jl:177 [inlined]
 [7] macro expansion
   @ .\timing.jl:279 [inlined]`

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
  [0c46a032] DifferentialEquations v7.13.0
  [7a1cc6ca] FFTW v1.8.0
  [e13b9ff6] HarmonicBalance v0.10.1
  [f213a82b] HomotopyContinuation v2.9.4
  [438e738f] PyCall v1.96.4
  [d330b81b] PyPlot v2.11.5
  [03a91e81] SplitApplyCombine v1.2.3
  [90137ffa] StaticArrays v1.9.7
  [0c5d862f] Symbolics v5.33.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
  [47edcb42] ADTypes v1.5.4
  [621f4979] AbstractFFTs v1.5.0
  [398f06c4] AbstractLattices v0.3.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.36
  [79e6a3ab] Adapt v4.0.4
  [66dad0bd] AliasTables v1.1.3
⌅ [fb37089c] Arblib v0.8.1
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.12.0
  [4c555306] ArrayLayouts v1.10.2
  [aae01518] BandedMatrices v1.7.2
  [e2ed5e7c] Bijections v0.1.7
  [91e7fc40] BijectiveHilbert v0.3.0
  [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [764a87c0] BoundaryValueDiffEq v5.9.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.6
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.24.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
  [944b1d66] CodecZlib v0.7.5
  [35d6a980] ColorSchemes v3.25.0
  [3da002f7] ColorTypes v0.11.5
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.11
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.15.0
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  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.4.2
  [8f4d0f93] Conda v1.10.2
  [187b0558] ConstructionBase v1.5.5
  [d38c429a] Contour v0.6.3
  [adafc99b] CpuId v0.3.1
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  [85a47980] Dictionaries v0.4.2
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  [459566f4] DiffEqCallbacks v3.6.2
  [77a26b50] DiffEqNoiseProcess v5.21.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.13.0
  [a0c0ee7d] DifferentiationInterface v0.5.8
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.109
  [ffbed154] DocStringExtensions v0.9.3
  [5b8099bc] DomainSets v0.7.14
  [fa6b7ba4] DualNumbers v0.6.8
⌅ [7c1d4256] DynamicPolynomials v0.5.7
  [fdbdab4c] ElasticArrays v1.2.12
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  [f151be2c] EnzymeCore v0.7.7
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  [c87230d0] FFMPEG v0.4.1
  [7a1cc6ca] FFTW v1.8.0
  [9d29842c] FastAlmostBandedMatrices v0.1.3
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  [5789e2e9] FileIO v1.16.3
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  [069b7b12] FunctionWrappers v1.1.3
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  [d9f16b24] Functors v0.4.11
  [46192b85] GPUArraysCore v0.1.6
  [28b8d3ca] GR v0.73.6
  [c145ed77] GenericSchur v0.5.4
  [86223c79] Graphs v1.11.2
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.8
  [e13b9ff6] HarmonicBalance v0.10.1
  [f213a82b] HomotopyContinuation v2.9.4
  [3e5b6fbb] HostCPUFeatures v0.1.17
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [313cdc1a] Indexing v1.1.1
  [d25df0c9] Inflate v0.1.5
  [18e54dd8] IntegerMathUtils v0.1.2
  [8197267c] IntervalSets v0.7.10
  [524e6230] IntervalTrees v1.1.0
  [3587e190] InverseFunctions v0.1.15
  [92d709cd] IrrationalConstants v0.2.2
  [c8e1da08] IterTools v1.10.0
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  [682c06a0] JSON v0.21.4
  [ccbc3e58] JumpProcesses v9.11.1
  [ef3ab10e] KLU v0.6.0
  [ba0b0d4f] Krylov v0.9.6
  [8ac3fa9e] LRUCache v1.6.1
  [b964fa9f] LaTeXStrings v1.3.1
  [2ee39098] LabelledArrays v1.16.0
  [984bce1d] LambertW v0.4.6
  [23fbe1c1] Latexify v0.16.4
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  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.171
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v3.0.0
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  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
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  [291d046c] MixedSubdivisions v1.1.3
  [7475f97c] Mods v2.2.4
  [46d2c3a1] MuladdMacro v0.2.4
  [3b2b4ff1] Multisets v0.4.4
  [102ac46a] MultivariatePolynomials v0.5.6
  [d8a4904e] MutableArithmetics v1.4.5
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [8913a72c] NonlinearSolve v3.13.1
  [6fe1bfb0] OffsetArrays v1.14.1
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  [bac558e1] OrderedCollections v1.6.3
  [1dea7af3] OrdinaryDiffEq v6.85.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [18e31ff7] Peaks v0.5.2
  [2ae35dd2] Permutations v0.4.21
  [b98c9c47] Pipe v1.3.0
  [ccf2f8ad] PlotThemes v3.2.0
  [995b91a9] PlotUtils v1.4.1
  [91a5bcdd] Plots v1.40.5
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.15
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  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.22
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  [21216c6a] Preferences v1.4.3
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  [27ebfcd6] Primes v0.5.6
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  [d330b81b] PyPlot v2.11.5
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  [74087812] Random123 v1.7.0
  [e6cf234a] RandomNumbers v1.5.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.26.0
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [286e9d63] RingLists v0.2.8
  [79098fc4] Rmath v0.7.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.43
  [0bca4576] SciMLBase v2.42.0
  [c0aeaf25] SciMLOperators v0.3.8
  [53ae85a6] SciMLStructures v1.4.1
  [6c6a2e73] Scratch v1.2.1
  [8e049039] SemialgebraicSets v0.3.3
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
  [55797a34] SimpleGraphs v0.8.6
  [727e6d20] SimpleNonlinearSolve v1.10.1
  [ec83eff0] SimplePartitions v0.3.2
  [cc47b68c] SimplePolynomials v0.2.17
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  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.19.0
  [0a514795] SparseMatrixColorings v0.3.3
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.4.0
  [03a91e81] SplitApplyCombine v1.2.3
  [aedffcd0] Static v1.1.1
  [0d7ed370] StaticArrayInterface v1.5.1
  [90137ffa] StaticArrays v1.9.7
  [1e83bf80] StaticArraysCore v1.4.3
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.3
  [4c63d2b9] StatsFuns v1.3.1
  [9672c7b4] SteadyStateDiffEq v2.2.0
  [789caeaf] StochasticDiffEq v6.66.0
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  [892a3eda] StringManipulation v0.3.4
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  [b53b4c65] libpng_jll v1.6.43+1
  [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.0+0
  [781609d7] GMP_jll v6.2.1+6
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [3a97d323] MPFR_jll v4.2.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
  • Output of versioninfo()
Julia Version 1.10.2
Commit bd47eca2c8 (2024-03-01 10:14 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 16 × AMD Ryzen 7 5700U with Radeon Graphics
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 16 virtual cores)
@bestlerm bestlerm added the bug Something isn't working label Jul 17, 2024
@oameye oameye added dependency issue This issue is caused by a dependency. wontfix This will not be worked on and removed bug Something isn't working labels Oct 26, 2024
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oameye commented Oct 26, 2024

This is a HomotopyContinuation.jl problem. See JuliaHomotopyContinuation/HomotopyContinuation.jl#596

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oameye commented Oct 30, 2024

JuliaHomotopyContinuation/HomotopyContinuation.jl#543

@oameye oameye closed this as not planned Won't fix, can't repro, duplicate, stale Oct 30, 2024
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