Dynamical, Hamiltonian and 2nd Order ODE Problems

Solution Type

Dynamical ODE solutions return an ODESolution. For more information, see the ODE problem definition page for the ODESolution docstring.

Hamiltonian Problems

HamiltonianProblems are provided by DiffEqPhysics.jl and provide an easy way to define equations of motion from the corresponding Hamiltonian. To define a HamiltonianProblem one only needs to specify the Hamiltonian:

\[H(p,q)\]

and autodifferentiation (via ForwardDiff.jl) will create the appropriate equations.

Constructors

HamiltonianProblem{T}(H, p0, q0, tspan, param = nothing; kwargs...)

Fields

• H: The Hamiltonian H(p,q,params) which returns a scalar.
• p0: The initial momentums.
• q0: The initial positions.
• tspan: The timespan for the problem.
• param: Defaults to nothing. param will be passed to H's params.