phase()

ODE Solvers

phase() is a MATLAB®-compatible ode solvers function for generate a phase portrait for a 2d ode system. shows vector field (quiver arrows), sample trajectories, and equilibrium points with stability classification (stable node/spiral, unstable, saddle, center). one-liner visualization of dynamical systems. Run it online in your browser with SimLab — free, no install, no license required.

Generate a phase portrait for a 2D ODE system. Shows vector field (quiver arrows), sample trajectories, and equilibrium points with stability classification (stable node/spiral, unstable, saddle, center). One-liner visualization of dynamical systems.

Syntax

phase(f, [-4 4], [-3 3])
phase(f, xrange, yrange, struct('trajectories', 12))

Examples — run phase() in your browser

% Pendulum
phase(@(t,y) [y(2); -sin(y(1))], [-4 4], [-3 3])
▶ Run
% Damped oscillator
phase(@(t,y) [y(2); -0.5*y(2) - 2*y(1)], [-3 3], [-3 3])
▶ Run

See Also

More ODE Solvers Functions

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Frequently Asked Questions about phase()

Is the phase() function free to use in SimLab?

Yes. SimLab is 100% free — no signup, no license, and no usage limits. You can run phase() and 510+ other MATLAB®-compatible functions directly in your browser at simulations4all.com/simlab.

Do I need to install MATLAB to use phase()?

No. SimLab runs entirely in your web browser with zero installation. The phase() function works without any MATLAB® license or software download.

What does phase() do?

Generate a phase portrait for a 2D ODE system. Shows vector field (quiver arrows), sample trajectories, and equilibrium points with stability classification (stable node/spiral, unstable, saddle, center). One-liner visualization of dynamical systems. It is a MATLAB®-compatible ode solvers function available in SimLab with the same calling syntax as MATLAB® — typically: phase(f, [-4 4], [-3 3]).

Can I run phase() in my browser?

Yes. Open SimLab at simulations4all.com/simlab, write or paste code that calls phase(), and run it. Execution happens locally in your browser — no data leaves your machine.

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