Struct HamiltonianSystem 

pub struct HamiltonianSystem {
    pub h: HamiltonianFunction,
    pub phase_space_dim: usize,
}

A Hamiltonian dynamical system (T*M, ω, H).

Fields

h: HamiltonianFunction

The Hamiltonian function

phase_space_dim: usize

Dimension of the phase space (always even: 2n)

Implementations

impl HamiltonianSystem

pub fn new() -> Self

Create a simple harmonic oscillator system on T*ℝⁿ.

pub fn hamilton_equations(&self) -> Vec<String>

Hamilton’s equations of motion: dqᵢ/dt = ∂H/∂pᵢ, dpᵢ/dt = -∂H/∂qᵢ

pub fn is_integrable(&self) -> bool

Returns true when the system is (Liouville) integrable: has n independent first integrals in involution.

pub fn is_ergodic(&self) -> bool

Returns true when the system is ergodic on its energy hypersurface.

Trait Implementations

impl Default for HamiltonianSystem

fn default() -> Self

Returns the “default value” for a type.