-
Notifications
You must be signed in to change notification settings - Fork 8
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
This reverts commit 4d485fb.
- Loading branch information
Showing
61 changed files
with
5,744 additions
and
5,744 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,81 +1,81 @@ | ||
| name = "HarmonicBalance" | ||
| uuid = "e13b9ff6-59c3-11ec-14b1-f3d2cc6c135e" | ||
| authors = ["Jan Kosata <[email protected]>", "Javier del Pino <[email protected]>", "Orjan Ameye <[email protected]>"] | ||
| version = "0.11.1" | ||
|
|
||
| [deps] | ||
| BijectiveHilbert = "91e7fc40-53cd-4118-bd19-d7fcd1de2a54" | ||
| DSP = "717857b8-e6f2-59f4-9121-6e50c889abd2" | ||
| DelimitedFiles = "8bb1440f-4735-579b-a4ab-409b98df4dab" | ||
| Distances = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7" | ||
| DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" | ||
| EndpointRanges = "340492b5-2a47-5f55-813d-aca7ddf97656" | ||
| FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" | ||
| HomotopyContinuation = "f213a82b-91d6-5c5d-acf7-10f1c761b327" | ||
| JLD2 = "033835bb-8acc-5ee8-8aae-3f567f8a3819" | ||
| Latexify = "23fbe1c1-3f47-55db-b15f-69d7ec21a316" | ||
| LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" | ||
| OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" | ||
| Peaks = "18e31ff7-3703-566c-8e60-38913d67486b" | ||
| Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | ||
| PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a" | ||
| Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7" | ||
| ProgressMeter = "92933f4c-e287-5a05-a399-4b506db050ca" | ||
| Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" | ||
| SymbolicUtils = "d1185830-fcd6-423d-90d6-eec64667417b" | ||
| Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7" | ||
|
|
||
| [weakdeps] | ||
| ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" | ||
| OrdinaryDiffEqTsit5 = "b1df2697-797e-41e3-8120-5422d3b24e4a" | ||
| SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f" | ||
|
|
||
| [extensions] | ||
| ModelingToolkitExt = "ModelingToolkit" | ||
| SteadyStateDiffEqExt = "SteadyStateDiffEq" | ||
| TimeEvolution = "OrdinaryDiffEqTsit5" | ||
|
|
||
| [compat] | ||
| Aqua = "0.8" | ||
| BijectiveHilbert = "0.3.0" | ||
| DSP = "0.7.9" | ||
| DelimitedFiles = "1.9" | ||
| Distances = "0.10.11" | ||
| DocStringExtensions = "0.9.3" | ||
| Documenter = "1.4" | ||
| EndpointRanges = "0.2.2" | ||
| ExplicitImports = "1.6" | ||
| FFTW = "1.8" | ||
| HomotopyContinuation = "2.9" | ||
| JET = "0.9.9" | ||
| JLD2 = "0.4.48, 0.5" | ||
| Latexify = "0.16" | ||
| ModelingToolkit = "9.34" | ||
| NonlinearSolve = "3.14" | ||
| OrderedCollections = "1.6" | ||
| OrdinaryDiffEqRosenbrock = "1.1" | ||
| OrdinaryDiffEqTsit5 = "1.1" | ||
| Peaks = "0.5" | ||
| Plots = "1.39" | ||
| PrecompileTools = "1.2" | ||
| ProgressMeter = "1.7.2" | ||
| SteadyStateDiffEq = "2.3.2" | ||
| SymbolicUtils = "3.5" | ||
| Symbolics = "6.4" | ||
| julia = "1.10.0" | ||
|
|
||
| [extras] | ||
| Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595" | ||
| Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" | ||
| ExplicitImports = "7d51a73a-1435-4ff3-83d9-f097790105c7" | ||
| JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b" | ||
| ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" | ||
| NonlinearSolve = "8913a72c-1f9b-4ce2-8d82-65094dcecaec" | ||
| OrdinaryDiffEqRosenbrock = "43230ef6-c299-4910-a778-202eb28ce4ce" | ||
| OrdinaryDiffEqTsit5 = "b1df2697-797e-41e3-8120-5422d3b24e4a" | ||
| Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" | ||
| SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f" | ||
| Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | ||
|
|
||
| [targets] | ||
| test = ["Pkg", "Test", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqRosenbrock", "ModelingToolkit", "SteadyStateDiffEq", "NonlinearSolve", "ExplicitImports", "Aqua", "JET", "Documenter"] | ||
| name = "HarmonicBalance" | ||
| uuid = "e13b9ff6-59c3-11ec-14b1-f3d2cc6c135e" | ||
| authors = ["Jan Kosata <[email protected]>", "Javier del Pino <[email protected]>", "Orjan Ameye <[email protected]>"] | ||
| version = "0.11.1" | ||
|
|
||
| [deps] | ||
| BijectiveHilbert = "91e7fc40-53cd-4118-bd19-d7fcd1de2a54" | ||
| DSP = "717857b8-e6f2-59f4-9121-6e50c889abd2" | ||
| DelimitedFiles = "8bb1440f-4735-579b-a4ab-409b98df4dab" | ||
| Distances = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7" | ||
| DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" | ||
| EndpointRanges = "340492b5-2a47-5f55-813d-aca7ddf97656" | ||
| FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" | ||
| HomotopyContinuation = "f213a82b-91d6-5c5d-acf7-10f1c761b327" | ||
| JLD2 = "033835bb-8acc-5ee8-8aae-3f567f8a3819" | ||
| Latexify = "23fbe1c1-3f47-55db-b15f-69d7ec21a316" | ||
| LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" | ||
| OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" | ||
| Peaks = "18e31ff7-3703-566c-8e60-38913d67486b" | ||
| Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | ||
| PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a" | ||
| Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7" | ||
| ProgressMeter = "92933f4c-e287-5a05-a399-4b506db050ca" | ||
| Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" | ||
| SymbolicUtils = "d1185830-fcd6-423d-90d6-eec64667417b" | ||
| Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7" | ||
|
|
||
| [weakdeps] | ||
| ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" | ||
| OrdinaryDiffEqTsit5 = "b1df2697-797e-41e3-8120-5422d3b24e4a" | ||
| SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f" | ||
|
|
||
| [extensions] | ||
| ModelingToolkitExt = "ModelingToolkit" | ||
| SteadyStateDiffEqExt = "SteadyStateDiffEq" | ||
| TimeEvolution = "OrdinaryDiffEqTsit5" | ||
|
|
||
| [compat] | ||
| Aqua = "0.8" | ||
| BijectiveHilbert = "0.3.0" | ||
| DSP = "0.7.9" | ||
| DelimitedFiles = "1.9" | ||
| Distances = "0.10.11" | ||
| DocStringExtensions = "0.9.3" | ||
| Documenter = "1.4" | ||
| EndpointRanges = "0.2.2" | ||
| ExplicitImports = "1.6" | ||
| FFTW = "1.8" | ||
| HomotopyContinuation = "2.9" | ||
| JET = "0.9.9" | ||
| JLD2 = "0.4.48, 0.5" | ||
| Latexify = "0.16" | ||
| ModelingToolkit = "9.34" | ||
| NonlinearSolve = "3.14" | ||
| OrderedCollections = "1.6" | ||
| OrdinaryDiffEqRosenbrock = "1.1" | ||
| OrdinaryDiffEqTsit5 = "1.1" | ||
| Peaks = "0.5" | ||
| Plots = "1.39" | ||
| PrecompileTools = "1.2" | ||
| ProgressMeter = "1.7.2" | ||
| SteadyStateDiffEq = "2.3.2" | ||
| SymbolicUtils = "3.5" | ||
| Symbolics = "6.4" | ||
| julia = "1.10.0" | ||
|
|
||
| [extras] | ||
| Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595" | ||
| Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" | ||
| ExplicitImports = "7d51a73a-1435-4ff3-83d9-f097790105c7" | ||
| JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b" | ||
| ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" | ||
| NonlinearSolve = "8913a72c-1f9b-4ce2-8d82-65094dcecaec" | ||
| OrdinaryDiffEqRosenbrock = "43230ef6-c299-4910-a778-202eb28ce4ce" | ||
| OrdinaryDiffEqTsit5 = "b1df2697-797e-41e3-8120-5422d3b24e4a" | ||
| Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" | ||
| SteadyStateDiffEq = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f" | ||
| Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | ||
|
|
||
| [targets] | ||
| test = ["Pkg", "Test", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqRosenbrock", "ModelingToolkit", "SteadyStateDiffEq", "NonlinearSolve", "ExplicitImports", "Aqua", "JET", "Documenter"] |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,18 +1,18 @@ | ||
| # Methods | ||
|
|
||
| We offer several methods for solving the nonlinear algebraic equations that arise from the harmonic balance procedure. Each method has different tradeoffs between speed, robustness, and completeness. | ||
|
|
||
| ## Total Degree Method | ||
| ```@docs | ||
| TotalDegree | ||
| ``` | ||
|
|
||
| ## Polyhedral Method | ||
| ```@docs | ||
| Polyhedral | ||
| ``` | ||
|
|
||
| ## Warm Up Method | ||
| ```@docs | ||
| WarmUp | ||
| # Methods | ||
|
|
||
| We offer several methods for solving the nonlinear algebraic equations that arise from the harmonic balance procedure. Each method has different tradeoffs between speed, robustness, and completeness. | ||
|
|
||
| ## Total Degree Method | ||
| ```@docs | ||
| TotalDegree | ||
| ``` | ||
|
|
||
| ## Polyhedral Method | ||
| ```@docs | ||
| Polyhedral | ||
| ``` | ||
|
|
||
| ## Warm Up Method | ||
| ```@docs | ||
| WarmUp | ||
| ``` |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,22 +1,22 @@ | ||
| # Time evolution | ||
|
|
||
| Generally, solving the ODE of oscillatory systems in time requires numerically tracking the oscillations. This is a computationally expensive process; however, using the harmonic ansatz removes the oscillatory time-dependence. Simulating instead the harmonic variables of a `HarmonicEquation` is vastly more efficient - a steady state of the system appears as a fixed point in multidimensional space rather than an oscillatory function. | ||
|
|
||
| The Extention `TimeEvolution` is used to interface `HarmonicEquation` with the solvers contained in `OrdinaryDiffEq.jl`. Time-dependent parameter sweeps are defined using the object `AdiabaticSweep`. To use the `TimeEvolution` extension, one must first load the `OrdinaryDiffEq.jl` package. | ||
| ```@docs | ||
| ODEProblem(::HarmonicEquation, ::Any; timespan::Tuple) | ||
| AdiabaticSweep | ||
| ``` | ||
|
|
||
| ## Plotting | ||
|
|
||
| ```@docs | ||
| HarmonicBalance.plot(::OrdinaryDiffEqTsit5.ODESolution, ::Any, ::HarmonicEquation) | ||
| ``` | ||
|
|
||
| ## Miscellaneous | ||
| Using a time-dependent simulation can verify solution stability in cases where the Jacobian is too expensive to compute. | ||
|
|
||
| ```@docs | ||
| HarmonicBalance.is_stable | ||
| # Time evolution | ||
|
|
||
| Generally, solving the ODE of oscillatory systems in time requires numerically tracking the oscillations. This is a computationally expensive process; however, using the harmonic ansatz removes the oscillatory time-dependence. Simulating instead the harmonic variables of a `HarmonicEquation` is vastly more efficient - a steady state of the system appears as a fixed point in multidimensional space rather than an oscillatory function. | ||
|
|
||
| The Extention `TimeEvolution` is used to interface `HarmonicEquation` with the solvers contained in `OrdinaryDiffEq.jl`. Time-dependent parameter sweeps are defined using the object `AdiabaticSweep`. To use the `TimeEvolution` extension, one must first load the `OrdinaryDiffEq.jl` package. | ||
| ```@docs | ||
| ODEProblem(::HarmonicEquation, ::Any; timespan::Tuple) | ||
| AdiabaticSweep | ||
| ``` | ||
|
|
||
| ## Plotting | ||
|
|
||
| ```@docs | ||
| HarmonicBalance.plot(::OrdinaryDiffEqTsit5.ODESolution, ::Any, ::HarmonicEquation) | ||
| ``` | ||
|
|
||
| ## Miscellaneous | ||
| Using a time-dependent simulation can verify solution stability in cases where the Jacobian is too expensive to compute. | ||
|
|
||
| ```@docs | ||
| HarmonicBalance.is_stable | ||
| ``` |
Oops, something went wrong.