pendulum_ode_period

pendulum_ode_period, a MATLAB code which sets up and solves a system of ordinary differential equations (ODE) that represent the behavior of a linear pendulum of length L under a gravitational force of strength G, in order to estimate the period of oscillation.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

pendulum_ode_period is available in a MATLAB version.

Related Data and codes:

pendulum_ode_period_test

pendulum_double_ode, a MATLAB code which sets up and solves the double pendulum ordinary differential equation (ODE).

pendulum_elastic_ode a MATLAB code which sets up and solves the ordinary differential equations (ODE) that represent the behavior of a nonlinear elastic pendulum, with gravitational force G, spring constant K, unstretched length L, and mass M.

pendulum_nonlinear_ode, a MATLAB code which sets up and solves the ordinary differential equations (ODE) that represent a nonlinear model ofthe behavior of a pendulum of length L under a gravitational force of strength G.

pendulum_ode, a MATLAB code which sets up and solves the ordinary differential equations (ODE) that represent a linear model ofthe behavior of a pendulum of length L under a gravitational force of strength G.

predator_prey_ode_period, a MATLAB code which sets up and solves a pair of predator prey or Lotka-Volterra ordinary differential equations (ODE) in order to estimate the period of the limit cycle.

vanderpol_ode_period, a MATLAB code which sets up and solves the ordinary differential equations (ODE) defining the van der Pol oscillator in order to estimate the period of the limit cycle.

Source Code:

• pendulum_conserved.m, evaluates a quantity that should be conserved for the ODE.
• pendulum_deriv.m, returns the right hand side of the ODE.
• pendulum_exact.m, returns the exact solution of the ODE.
• pendulum_parameters.m, returns parameters for the ODE.
• pendulum_period.m, returns the period of the ODE.