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ODESystem

System Constructors

ODESystem

Composition and Accessor Functions

  • get_eqs(sys) or equations(sys): The equations that define the ODE.
  • get_unknowns(sys) or unknowns(sys): The set of unknowns in the ODE.
  • get_ps(sys) or parameters(sys): The parameters of the ODE.
  • get_iv(sys): The independent variable of the ODE.
  • get_u0_p(sys, u0map, parammap) Numeric arrays for the initial condition and parameters given var => value maps.
  • continuous_events(sys): The set of continuous events in the ODE.
  • discrete_events(sys): The set of discrete events in the ODE.
  • alg_equations(sys): The algebraic equations (i.e. that does not contain a differential) that defines the ODE.
  • get_alg_eqs(sys): The algebraic equations (i.e. that does not contain a differential) that defines the ODE. Only returns equations of the current-level system.
  • diff_equations(sys): The differential equations (i.e. that contain a differential) that defines the ODE.
  • get_diff_eqs(sys): The differential equations (i.e. that contain a differential) that defines the ODE. Only returns equations of the current-level system.
  • has_alg_equations(sys): Returns true if the ODE contains any algebraic equations (i.e. that does not contain a differential).
  • has_alg_eqs(sys): Returns true if the ODE contains any algebraic equations (i.e. that does not contain a differential). Only considers the current-level system.
  • has_diff_equations(sys): Returns true if the ODE contains any differential equations (i.e. that does contain a differential).
  • has_diff_eqs(sys): Returns true if the ODE contains any differential equations (i.e. that does contain a differential). Only considers the current-level system.

Transformations

structural_simplify
ode_order_lowering
dae_index_lowering
change_independent_variable
liouville_transform
alias_elimination
tearing

Analyses

ModelingToolkit.islinear
ModelingToolkit.isautonomous
ModelingToolkit.isaffine

Applicable Calculation and Generation Functions

calculate_jacobian
calculate_tgrad
calculate_factorized_W
generate_jacobian
generate_tgrad
generate_factorized_W
jacobian_sparsity

Standard Problem Constructors

ODEFunction(sys::ModelingToolkit.AbstractODESystem, args...)
ODEProblem(sys::ModelingToolkit.AbstractODESystem, args...)
SteadyStateProblem(sys::ModelingToolkit.AbstractODESystem, args...)
DAEProblem(sys::ModelingToolkit.AbstractODESystem, args...)

Expression Constructors

ODEFunctionExpr
DAEFunctionExpr
SteadyStateProblemExpr