diffeqzoo.vector_fields Module

Vector fields for differential equations.

Functions

affine_dependent(u, /, A, b)	Affine ODE.
affine_independent(u, /, a, b)	Affine ODE.
bratu(u, /, k)	Bratu's problem.
bratu_with_unused_derivative_argument(u, _, /, k)	Bratu's problem with signature (u, u').
fitzhugh_nagumo(u, /, a, b, c)	FitzHugh--Nagumo model.
goodwin(u, /, r, a1, a2, alpha, k)	Goodwin oscillator.
heat_1d_dirichlet(y, weights, coeff)	Discretized heat equation with Dirichlet (i.e.
henon_heiles(u, /, p)	Henon-Heiles dynamics as a second-order differential equation.
henon_heiles_first_order(u, *args)	Henon-Heiles dynamics as a first-order differential equation.
henon_heiles_with_unused_derivative_argument(u, ...)	Henon-Heiles dynamics as a second-order differential equation (with an unused second argument).
hires(u, /)	High irradiance response.
logistic(u, p0, p1, /)	Logistic ODE dynamics.
lorenz63(u, /, a, b, c)	Lorenz63 dynamics.
lorenz96(y, /, forcing)	Lorenz96 dynamics.
lotka_volterra(y, /, a, b, c, d)	Lotka--Volterra dynamics.
measles(t, u, /, mu, lmbda, eta, beta0)	Measles problem.
neural_ode_mlp(state, time, /, params)	Neural ODE based on a multi-layer perceptron.
nonlinear_chemical_reaction(u, /, k1, k2)	Nonlinear chemical reaction.
oregonator(u, /, s, q, w)	Oregonator problem.
pendulum(u, /, p)	Bratu's problem.
pendulum_with_unused_derivative_argument(u, ...)	Bratu's problem.
pleiades(u, /)	Evaluate the Pleiades vector field in its original, second-order form.
pleiades_first_order(u, *args)	The Pleiades problem as a first-order differential equation.
pleiades_with_unused_derivative_argument(u, _, /)	Evaluate the Pleiades vector field as \(\ddot u(t) = f(u(t), \dot u(t))\) (with an unused second argument).
rigid_body(y, /, p1, p2, p3)	Rigid body dynamics without external forces.
rober(u, /, k1, k2, k3)	'Rober' ODE problem.
roessler(u, /, a, b, c)	Roessler attractor.
seir(u, /, alpha, beta, gamma, population_count)	SEIR model.
sir(u, /, beta, gamma, population_count)	SIR model.
sird(u, /, beta, gamma, eta, population_count)	SIRD model.
three_body_restricted(Y, dY, /, ...)	Restricted three-body dynamics as a second-order differential equation.
three_body_restricted_first_order(u, *args)	Restricted three-body dynamics as a first-order differential equation.
van_der_pol(u, du, /, stiffness_constant)	Van-der-Pol dynamics as a second-order differential equation.
van_der_pol_first_order(u, *args)	Van-der-Pol dynamics as a first-order differential equation.