Contents

When you do using DynamicalSystems in your Julia session, the module re-exports and brings into scope all submodules (Julia packages) that compose DynamicalSystems.jl. These are listed in this page. Of course, you could be using these packages directly instead of adding DynamicalSystems. However, doing using DynamicalSystems provides the environment all these packages were designed to work together in, and so we recommend to simply install DynamicalSystems and use that.

Exported submodules

The submodules that compose DynamicalSystems.jl are the following packages, which are re-exported by DynamicalSystems:

Core

• StateSpaceSets
• DynamicalSystemsBase

For observed/measured data

• ComplexityMeasures
• RecurrenceAnalysis
• DelayEmbeddings
• FractalDimensions
• TimeseriesSurrogates

For dynamical system instances

• PredefinedDynamicalSystems
• ChaosTools
• Attractors

At the very end of this page, a full list of exported names is presented.

Core

For observed/measured data

@article{FractalDimensions.jl,
  doi = {10.1063/5.0160394},
  url = {https://doi.org/10.1063/5.0160394},
  year = {2023},
  month = oct,
  publisher = {{AIP} Publishing},
  volume = {33},
  number = {10},
  author = {George Datseris and Inga Kottlarz and Anton P. Braun and Ulrich Parlitz},
  title = {Estimating fractal dimensions: A comparative review and open source implementations},
  journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science}
}

@article{TimeseriesSurrogates.jl,
    doi = {10.21105/joss.04414},
    url = {https://doi.org/10.21105/joss.04414},
    year = {2022},
    publisher = {The Open Journal},
    volume = {7},
    number = {77},
    pages = {4414},
    author = {Kristian Agasøster Haaga and George Datseris},
    title = {TimeseriesSurrogates.jl: a Julia package for generating surrogate data},
    journal = {Journal of Open Source Software}
}

For dynamical system instances

ds = PredefinedDynamicalSystems.lorenz(u0; ρ = 32.0)

All exported names

This section lists all exported names of the DynamicalSystems.jl library. We do not list their documentation in any way here. This list is only meant as a quantitative listing of features, as well as perhaps helping searching via the search bar. To actually learn how to use all these exported names you need to use above-linked documentation of the respective submodules!

The total exported names are:

using DynamicalSystems
all_exported_names = names(DynamicalSystems)
length(all_exported_names)

506

And they are:

using DisplayAs
DisplayAs.unlimited(all_exported_names)

506-element Array{Symbol, 1}:
 :..
 Symbol("@windowed")
 :AAFT
 :AR1
 :AbstractBinning
 :AbstractEmbedding
 :AbstractRecurrenceType
 :AbstractStateSpaceSet
 :AddConstant
 :AlizadehArghami
 :AllSlopesDistribution
 :AmplitudeAwareOrdinalPatterns
 :ApproximateEntropy
 :ArbitrarySteppable
 :AttractorMapper
 :AttractorSeedContinueMatch
 :Attractors
 :AttractorsBasinsContinuation
 :AttractorsViaFeaturizing
 :AttractorsViaProximity
 :AttractorsViaRecurrences
 :AutoRegressive
 :BayesianRegularization
 :BlockMaxima
 :BlockShuffle
 :BruteForce
 :BubbleEntropy
 :BubbleSortSwaps
 :BubbleSortSwapsEncoding
 :Centroid
 :ChaoShen
 :ChaosTools
 :Chebyshev
 :CircShift
 :Cityblock
 :ClusteringConfig
 :CombinationEncoding
 :ComplexityEstimator
 :ComplexityMeasure
 :ComplexityMeasures
 :CompositeDownsampling
 :ContinuousDynamicalSystem
 :ContinuousTimeDynamicalSystem
 :CoreDynamicalSystem
 :Correa
 :CosineSimilarityBinning
 :CountOccurrences
 :Counts
 :CoupledODEs
 :CoupledSDEs
 :CramerVonMises
 :CrossRecurrenceMatrix
 :CrossingAccurateInterpolation
 :CrossingLinearIntersection
 :Curado
 :CycleShuffle
 :DelayEmbedding
 :DelayEmbeddings
 :DeterministicIteratedMap
 :DifferentialEntropyEstimator
 :DifferentialInfoEstimator
 :DiscreteDynamicalSystem
 :DiscreteEntropyEstimator
 :DiscreteInfoEstimator
 :DiscreteTimeDynamicalSystem
 :Dispersion
 :Diversity
 :DynamicalSystem
 :DynamicalSystems
 :DynamicalSystemsBase
 :Ebrahimi
 :EdgeTrackingResults
 :ElectronicEntropy
 :Encoding
 :EntropyDefinition
 :Euclidean
 :Exceedances
 :FAN
 :FT
 :FeaturizeGroupAcrossParameter
 :FirstElement
 :FixedRectangularBinning
 :FluctuationComplexity
 :FractalDimensions
 :Gao
 :GaussianCDFEncoding
 :GeneralizedEmbedding
 :GeneralizedSchuermann
 :GlobalContinuationAlgorithm
 :GlobalRecurrenceRate
 :Goria
 :GroupAcrossParameter
 :GroupAcrossParameterContinuation
 :GroupViaClustering
 :GroupViaHistogram
 :GroupViaNearestFeature
 :GroupViaPairwiseComparison
 :GroupingConfig
 :HRectangle
 :HSphere
 :HSphereSurface
 :Hausdorff
 :HorvitzThompson
 :IAAFT
 :IDMatcher
 :Identification
 :InformationMeasure
 :InformationMeasureEstimator
 :InvariantMeasure
 :IrregularLombScargle
 :Jackknife
 :JointRecurrenceMatrix
 :KDTree
 :Kaniadakis
 :KozachenkoLeonenko
 :Kraskov
 :LargestLinearRegion
 :LempelZiv76
 :LeonenkoProzantoSavani
 :LinearRegression
 :LocalRecurrenceRate
 :Lord
 :MFSBlackBoxOptim
 :MFSBruteForce
 :MLEntropy
 :MVector
 :MatchByBasinEnclosure
 :MatchByBasinOverlap
 :MatchBySSSetDistance
 :MillerMadow
 :MissingDispersionPatterns
 :MultiScaleAlgorithm
 :NLNS
 :NSAR2
 :NaiveKernel
 :NeighborNumber
 :OrdinalPatternEncoding
 :OrdinalPatterns
 :Outcome
 :OutcomeSpace
 :PairDistanceEncoding
 :ParallelDynamicalSystem
 :PartialRandomization
 :PartialRandomizationAAFT
 :PlaneCrossing
 :PlugIn
 :PoincareMap
 :PowerSpectrum
 :PredefinedDynamicalSystems
 :Probabilities
 :ProbabilitiesEstimator
 :ProjectedDynamicalSystem
 :PseudoPeriodic
 :PseudoPeriodicTwin
 :RAFM
 :RandomCascade
 :RandomFourier
 :RandomShuffle
 :RectangularBinEncoding
 :RectangularBinning
 :RecurrenceAnalysis
 :RecurrenceMatrix
 :RecurrenceThreshold
 :RecurrenceThresholdScaled
 :RecurrencesFindAndMatch
 :RecurrencesSeededContinuation
 :RegularDownsampling
 :RelativeAmount
 :RelativeFirstDifferenceEncoding
 :RelativeMeanEncoding
 :RelativePartialRandomization
 :RelativePartialRandomizationAAFT
 :Renyi
 :RenyiExtropy
 :ReverseDispersion
 :SMatrix
 :SNLST
 :SSSet
 :SVector
 :SampleEntropy
 :Schuermann
 :SequentialPairDistances
 :Shannon
 :ShannonExtropy
 :Shrinkage
 :ShuffleDimensions
 :SpatialBubbleSortSwaps
 :SpatialDispersion
 :SpatialOrdinalPatterns
 :SpectralPartialRandomization
 :SpectralPartialRandomizationAAFT
 :StateSpaceSet
 :StateSpaceSets
 :StatisticalComplexity
 :StretchedExponential
 :StrictlyMinimumDistance
 :StroboscopicMap
 :SubdivisionBasedGrid
 :Surrogate
 :SurrogateTest
 :SymbolicAmplitudeAwarePermutation
 :SymbolicPermutation
 :SymbolicWeightedPermutation
 :Systems
 :TAAFT
 :TFTD
 :TFTDAAFT
 :TFTDIAAFT
 :TFTDRandomFourier
 :TFTS
 :TangentDynamicalSystem
 :TimeScaleMODWT
 :TimeseriesSurrogates
 :TransferOperator
 :Tsallis
 :TsallisExtropy
 :UniqueElements
 :UniqueElementsEncoding
 :ValueBinning
 :ValueHistogram
 :Vasicek
 :VisitationFrequency
 :WLS
 :WaveletOverlap
 :WeightedOrdinalPatterns
 :WithinRange
 :Zhu
 :ZhuSingh
 :aggregate_attractor_fractions
 :allcounts
 :allcounts_and_outcomes
 :allprobabilities
 :allprobabilities_and_outcomes
 :animate_attractors_continuation
 :autocor
 :automatic_Δt_basins
 :basin_entropy
 :basins_fractal_dimension
 :basins_fractal_test
 :basins_fractions
 :basins_of_attraction
 :beta_statistic
 :bisect_to_edge
 :boxassisted_correlation_dim
 :boxed_correlationsum
 :broomhead_king
 :codify
 :colored_noise
 :columns
 :complexity
 :complexity_normalized
 :continuation
 :continuation_series
 :convergence_and_basins_fractions
 :convergence_and_basins_of_attraction
 :convergence_time
 :convert_logunit
 :coordinates
 :cor
 :correlationsum
 :counts
 :counts_and_outcomes
 :cov
 :current_crossing_time
 :current_deviations
 :current_parameter
 :current_parameters
 :current_state
 :current_states
 :current_time
 :davidchacklai
 :decode
 :delay_afnn
 :delay_f1nn
 :delay_fnn
 :delay_ifnn
 :determinism
 :dimension
 :distancematrix
 :divergence
 :dl_average
 :dl_entropy
 :dl_max
 :downsample
 :dyca
 :dynamic_rule
 :edgetracking
 :embed
 :encode
 :entropy
 :entropy_approx
 :entropy_complexity
 :entropy_complexity_curves
 :entropy_dispersion
 :entropy_distribution
 :entropy_maximum
 :entropy_normalized
 :entropy_permutation
 :entropy_sample
 :entropy_wavelet
 :estimate_boxsizes
 :estimate_delay
 :estimate_gev_parameters
 :estimate_gev_scale
 :estimate_gpd_parameters
 :estimate_period
 :estimate_r0_buenoorovio
 :estimate_r0_theiler
 :excitability_threshold
 :exit_entry_times
 :expansionentropy
 :exponential_decay_fit
 :extract_attractors
 :extract_features
 :extremal_index_sueveges
 :extremevaltheory_dim
 :extremevaltheory_dims
 :extremevaltheory_dims_persistences
 :extremevaltheory_gpdfit_pvalues
 :extremevaltheory_local_dim_persistence
 :fill_surrogate_test!
 :findlocalextrema
 :findlocalminima
 :first_return_times
 :fixedmass_correlation_dim
 :fixedmass_correlationsum
 :fixedpoints
 :gali
 :garcia_almeida_embedding
 :genembed
 :genentropy
 :generalized_dim
 :get_deviations
 :get_state
 :global_continuation
 :grassberger_proccacia_dim
 :grayscale
 :group_features
 :haussdorff_distance
 :heatmap_basins_attractors
 :heatmap_basins_attractors!
 :higuchi_dim
 :ics_from_grid
 :information
 :information_maximum
 :information_normalized
 :initial_parameters
 :initial_state
 :initial_states
 :initial_time
 :integrator
 :interactive_cobweb
 :interactive_orbitdiagram
 :interactive_poincaresos
 :interactive_poincaresos_scan
 :interactive_trajectory
 :interactive_trajectory_timeseries
 :interval
 :invariantmeasure
 :is_counting_based
 :isdeterministic
 :isdiscretetime
 :isinplace
 :jacobian
 :kaplanyorke_dim
 :lambdamatrix
 :lambdaperms
 :laminarity
 :linear_region
 :linear_regions
 :linreg
 :local_correlation_dimension
 :local_growth_rates
 :lyapunov
 :lyapunov_from_data
 :lyapunovspectrum
 :match_attractor_ids!
 :match_basins_ids!
 :match_continuation!
 :match_sequentially!
 :match_statespacesets!
 :matching_map
 :matching_map!
 :maxima
 :mdop_embedding
 :mdop_maximum_delay
 :mean_and_cov
 :mean_return_times
 :meanrecurrencetime
 :minima
 :minimal_fatal_shock
 :minimum_pairwise_distance
 :minmaxima
 :missing_outcomes
 :missing_probabilities
 :molteno_boxing
 :molteno_dim
 :multiscale
 :multiscale_normalized
 :n_statistic
 :next_free_id
 :nmprt
 :noiseradius
 :observe_state
 :optimal_separated_de
 :optimal_traditional_de
 :orbitdiagram
 :orthonormal
 :outcome_space
 :outcomes
 :parallel_integrator
 :parameter_name
 :pecora
 :pecuzal_embedding
 :periodicorbits
 :permentropy
 :plot_attractors
 :plot_attractors!
 :plot_attractors_curves
 :plot_attractors_curves!
 :plot_basins_attractors_curves
 :plot_basins_attractors_curves!
 :plot_basins_curves
 :plot_basins_curves!
 :plot_continuation_curves
 :plot_continuation_curves!
 :poincaremap
 :poincaresos
 :pointwise_correlationsums
 :pointwise_dimensions
 :predictability
 :prismdim_theiler
 :probabilities
 :probabilities!
 :probabilities_and_outcomes
 :produce_orbitdiagram
 :projected_integrator
 :pvalue
 :random_cycles
 :randomwalk
 :reconstruct
 :recurrence_threshold
 :recurrenceplot
 :recurrencerate
 :recurrencestructures
 :recursivecopy
 :referrenced_sciml_model
 :reinit!
 :rematch!
 :replacement_map
 :reset_mapper!
 :rna
 :rqa
 :rt_average
 :rt_entropy
 :rt_max
 :scaleod
 :selfmutualinfo
 :set_deviations!
 :set_distance
 :set_parameter!
 :set_parameters!
 :set_period!
 :set_state!
 :setsofsets_distances
 :shaded_basins_heatmap
 :shaded_basins_heatmap!
 :skeletonize
 :slopefit
 :sorteddistances
 :standardize
 :state_name
 :statespace_sampler
 :step!
 :stochastic_indicator
 :subdivision_based_grid
 :successful_step
 :surrogate
 :surrogenerator
 :surroplot
 :surroplot!
 :swap_dict_keys!
 :takens_best_estimate_dim
 :tangent_integrator
 :test_wada_merge
 :testchaos01
 :textrecurrenceplot
 :tipping_probabilities
 :total_outcomes
 :trajectory
 :transfermatrix
 :transit_return_times
 :transitivity
 :trappingtime
 :trend
 :uncertainty_exponent
 :unique_keys
 :uzal_cost
 :uzal_cost_local
 :vl_average
 :vl_entropy
 :vl_max
 :windowed
 :yin
 :×
 :τrange