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Nonlinear dynamics & information flow

Recurrence, nonlinear divergence, surrogate testing, and directed-information diagnostics.

This page contains 22 deterministic public plotting contracts.

plot_conditional_transfer_entropy_circular_shift_test

Conditional-TE source-shift null

API: plot_conditional_transfer_entropy_circular_shift_test()
Scientific quantity: Conditional-TE source-shift null
Equation: mathematical contract
Worked example: example

plot_embedding_delay_diagnostics

Embedding-delay diagnostics

API: plot_embedding_delay_diagnostics()
Scientific quantity: Embedding-delay diagnostics
Equation: mathematical contract
Worked example: example

plot_embedding_dimension_diagnostics

False-nearest-neighbor diagnostics

API: plot_embedding_dimension_diagnostics()
Scientific quantity: False-nearest-neighbor diagnostics
Equation: mathematical contract
Worked example: example

plot_joint_recurrence

Synchronized joint recurrence

API: plot_joint_recurrence()
Scientific quantity: Synchronized joint recurrence
Equation: mathematical contract
Worked example: example

plot_kantz_sensitivity

Kantz specification sensitivity

API: plot_kantz_sensitivity()
Scientific quantity: Kantz specification sensitivity
Equation: mathematical contract
Worked example: example

plot_local_divergence

Local divergence / Lyapunov fit

API: plot_local_divergence()
Scientific quantity: Local divergence / Lyapunov fit
Equation: mathematical contract
Worked example: example

plot_lyapunov_sensitivity

Rosenstein specification sensitivity

API: plot_lyapunov_sensitivity()
Scientific quantity: Rosenstein specification sensitivity
Equation: mathematical contract
Worked example: example

plot_multivariate_iaaft_diagnostics

Multivariate IAAFT preservation diagnostics

API: plot_multivariate_iaaft_diagnostics()
Scientific quantity: Multivariate IAAFT preservation diagnostics
Equation: mathematical contract
Worked example: example

plot_multivariate_surrogate_nonlinearity

Multivariate surrogate nonlinearity test

API: plot_multivariate_surrogate_nonlinearity()
Scientific quantity: Multivariate surrogate nonlinearity test
Equation: mathematical contract
Worked example: example

plot_poincare_return_map

Empirical Poincare return map

API: plot_poincare_return_map()
Scientific quantity: Empirical Poincare return map
Equation: mathematical contract
Worked example: example

plot_recurrence

Sparse recurrence matrix

API: plot_recurrence()
Scientific quantity: Sparse recurrence matrix
Equation: mathematical contract
Worked example: example

plot_recurrence_network_degree

Recurrence-network degree profile

API: plot_recurrence_network_degree()
Scientific quantity: Recurrence-network degree profile
Equation: mathematical contract
Worked example: example

plot_recurrence_rate_curve

Recurrence-rate versus radius profile

API: plot_recurrence_rate_curve()
Scientific quantity: Recurrence-rate versus radius profile
Equation: mathematical contract
Worked example: example

plot_rqa_metric_mean_bootstrap

Population mean RQA bootstrap

API: plot_rqa_metric_mean_bootstrap()
Scientific quantity: Population mean RQA bootstrap
Equation: mathematical contract
Worked example: example

plot_rqa_sensitivity

RQA parameter sensitivity

API: plot_rqa_sensitivity()
Scientific quantity: RQA parameter sensitivity
Equation: mathematical contract
Worked example: example

plot_surrogate_nonlinearity

IAAFT surrogate nonlinearity test

API: plot_surrogate_nonlinearity()
Scientific quantity: IAAFT surrogate nonlinearity test
Equation: mathematical contract
Worked example: example

plot_trajectory_distance_rank_correlations

Distance-specification rank agreement

API: plot_trajectory_distance_rank_correlations()
Scientific quantity: Distance-specification rank agreement
Equation: mathematical contract
Worked example: example

plot_transfer_entropy_circular_shift_test

Transfer-entropy source-shift null

API: plot_transfer_entropy_circular_shift_test()
Scientific quantity: Transfer-entropy source-shift null
Equation: mathematical contract
Worked example: example

plot_transfer_entropy_sensitivity

Transfer-entropy specification sensitivity

API: plot_transfer_entropy_sensitivity()
Scientific quantity: Transfer-entropy specification sensitivity
Equation: mathematical contract
Worked example: example

plot_windowed_rqa

Windowed recurrence quantification

API: plot_windowed_rqa()
Scientific quantity: Windowed recurrence quantification
Equation: mathematical contract
Worked example: example

plot_windowed_rqa_sensitivity

Window-length/step RQA sensitivity

API: plot_windowed_rqa_sensitivity()
Scientific quantity: Window-length/step RQA sensitivity
Equation: mathematical contract
Worked example: example

plot_windowed_rqa_trajectories

RQA-derived functional trajectories

API: plot_windowed_rqa_trajectories()
Scientific quantity: RQA-derived functional trajectories
Equation: mathematical contract
Worked example: example