Phase Portrait Generator

Visualize the dynamics of differential equation systems with accurate, clearly labeled phase portraits

Upload Reference Photos

Drop images here or click to upload

Upload photos to transform into phase portrait

Differential Equations System

Choose a Visualization Style

Choose a Size

Try:

Preview

Phase Portrait Generator Examples

See what others have created

How to Get Started

Simple steps to create amazing results

Input Your Differential Equations

Enter your system of differential equations using the intuitive form fields. Specify dx/dt and dy/dt equations with standard mathematical notation.

Customize Your Plot

Set the x and y axis ranges, adjust grid density, choose color schemes, and add initial conditions or parameters to visualize your specific system.

Generate & Download

Click generate to create your phase portrait instantly. Download your high-resolution visualization in multiple formats for presentations or publications.

Main Features

Powerful capabilities at your fingertips

Multiple System Types

Support for linear and nonlinear systems, autonomous equations, and various dynamical systems including predator-prey, pendulum, and custom models.

Advanced Customization

Fine-tune trajectories, adjust vector field density, customize colors, add nullclines, equilibrium points, and direction fields for comprehensive analysis.

Real-Time Visualization

See your phase portrait update instantly as you modify parameters. Interactive exploration helps build intuition about system behavior.

Professional Export

Download publication-quality images in PNG, SVG, or PDF formats. Perfect for academic papers, presentations, and teaching materials.

Smart Analysis Tools

Automatic detection of equilibrium points, stability analysis, and trajectory classification to help understand your system's behavior.

Preset Examples

Start with classic dynamical systems like van der Pol oscillator, Lotka-Volterra, or damped harmonic oscillator as learning templates.

Frequently Asked Questions

Everything you need to know

A phase portrait is a graphical representation of the trajectories of a dynamical system in the phase plane. It shows how the system evolves over time.

You can input your differential equations using the provided form fields. Specify the equations, ranges for x and y axes, and any additional parameters or initial conditions.

Yes, you can customize the plot by specifying the range for the axes and adding any additional parameters or initial conditions relevant to your system.

You can use standard mathematical notation including basic operators (+, -, *, /), powers (^), trigonometric functions (sin, cos, tan), exponentials (exp), and common mathematical functions.

Arrows show the direction of motion, trajectories indicate system evolution from different initial conditions, and equilibrium points appear where trajectories converge or diverge. Closed loops indicate periodic behavior.

Yes, you can download your phase portraits in high-resolution formats (PNG, SVG, PDF) suitable for sharing, printing, or including in academic documents and presentations.

Ready to Visualize Your Dynamical System?

Create beautiful, accurate phase portraits in seconds. Perfect for students, researchers, and educators exploring differential equations.

Services By Title:

0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

AI Book Cover Generator Logo Generator DnD Character Creator AI Caricature Maker

hello@vondy.com