MATLAB Examples

This demonstration uses the 'ab' example of AUTO to demonstrate the use of the Dynamical Systems Toolbox in the 07P (AUTO) mode. Input and output files are similar to the ones used in AUTO.

This demonstration uses the 'ab' example of AUTO to demonstrate the use of Matlab functions with the Dynamical Systems Toolbox in the DST mode.

This demo illustrates the computation of a solution family to the boundary value problem

This demonstration uses the 'ab' example of AUTO to demonstrate the use of Simulink with the Dynamical Systems Toolbox in the DST mode.

Create a flight animation for a trajectory using a FlightGear Animation object.

Implement a steady, viscous flow through an insulated, constant-area duct using the Aerospace Toolbox™ software. This flow is also called Fanno line flow.

This demo illustrates the computation of a solution family to the equation

Visualize aircraft takeoff and chase helicopter with the virtual reality animation object. In this example, you can use the Aero.VirtualRealityAnimation object to set up a virtual

This demo illustrates the computation of stationary solutions, Hopf bifurcations and periodic solutions in the reaction (Doedel & Heinemann, 1983).

The equations, that model a two-compartment enzyme system (Kernevez,1980), are given by

This demo illustrates the computation of a solution family and its bifurcating families for a discrete dynamical system. Also illustrated is the continuation of Naimark-Sacker (or Hopf)

Use the Aerospace Toolbox™ functions to determine heat transfer and mass flow rate in a ramjet combustion chamber.

This demo computes two symmetric homoclinic orbits in the Lorenz equations

Visualize simulated versus actual flight trajectories with the animation object (Aero.Animation) while showing some of the animation object functionality. In this example, you can use

Load flight data and estimate G forces during the flight.

Use the method of characteristics and Prandtl-Meyer flow theory to solve a problem in supersonic flow involving expansions. Solve for the flow field downstream of the exit of a supersonic

Visualize contour plots of the calculated values for the Earth's magnetic field using World Magnetic Model 2015 (WMM-2015) overlaid on maps of the Earth. The Mapping Toolbox™ software is

Calculate the required compressor power in a supersonic wind tunnel.

Bring United States Air Force (USAF) Digital DATCOM files into the MATLAB® environment using the Aerospace Toolbox™ software.

Perform glide calculations for a Cessna 172 following Example 9.1 in reference 1 using the Aerospace Toolbox software.

Calculate the Earth's Geoid height using the EGM96 Geopotential Model of the Aerospace Toolbox™ software. It also shows how to visualize the results with contour maps overlaid on maps of the

This demo uses Euler's method to locate a stationary solution of a nonlinear parabolic PDE, followed by continuation of this stationary state in a free problem parameter. The equations are

Use the planetary ephemerides and a Earth Centered Inertial to Earth Centered Earth Fixed (ECI to ECEF) transformation to perform celestial navigation of a marine vessel.

This demo illustrates how to start the computation of a family of periodic solutions from numerical data obtained, for example, from an initial value solver. As an illustrative application

This demo uses Euler's method to locate a stationary solution of a nonlinear parabolic PDE, followed by continuation of this stationary state in a free problem parameter. The equation is

Examine the zonal harmonic, spherical and 1984 World Geodetic System (WGS84) gravity models for latitudes from +/- 90 degrees at the surface of the Earth.

Estimate the analemma of the Sun. The analemma is the curve that represents the variation of the angular offset of the Sun from its mean position on the celestial sphere relative to a specific

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