Chaos Lab vs WaveMachine at Home

Chaos Lab puts the beauty of chaos in your hands. With a tilt of your device, you control the parameters of beautiful mathematical objects called strange attractors, the reaction rates of a chemical oscillator, the position of two stars in a 3-body chaos simulation, and the shape of the Julian fractal. Now you can be an experimentalist and an artist. Using real-time integration of over 6,000 points for the attractors whose parameters are tied to your motion, over 7,000 data points for a fractal which morphs at your command, ten "asteroids" demonstrating chaotic sensitivity to initial conditions in a jittering twin-star system where the stars move with your tilt (can you keep them from escaping?), and a real-time BZ-reaction simulation which you control by both tilt and touch, this is chaos as you've never seen it before. Chaos Lab comes loaded with four of the most stunning attractors in chaos theory. The Rössler and Lorenz attractors are well known, but the Thomas and Newton-Leipnik attractors are relatively new and quite amazing! This work has been supported in part by grant PHY-0754081 from the U.S. National Science Foundation, the Nonlinear Dynamics Research Group at Drexel University (directed by Dr. Robert Gilmore), and the Department of Physics at Drexel University. Please note, some of these experiments will run slower on the older models of iPhones and iPod touch devices. Find the beauty in the chaos!

This app is a waveform simulation tool that allows you to intuitively control and observe physical phenomena such as wave propagation, reflection, and superposition (interference) right on your smartphone. You can experience the wave behaviors found in physics textbooks by actually moving them with your own fingertips. 【Key Features】 - Intuitive Wave Generation Simply swipe up and down on the edge of the screen to create pulse waves of any shape and size. - Versatile Boundary Conditions You can set the left and right ends to "Fixed End" (wave reflects inverted), "Free End" (wave reflects upright), or "No Reflection" (wave is absorbed). - Visualization of Incident, Reflected, and Superposed Waves The app color-codes the traveling "Incident Wave," the bouncing "Reflected Wave," and the combined "Superposed Wave." You can see at a glance the exact moment waves interfere to become larger (constructive) or smaller (destructive). - Time Machine Function (Seek Bar & Frame-by-Frame) Pause the wave motion and use the seek bar to freely travel back to past waveforms. Frame-by-frame advance and rewind buttons let you carefully observe and analyze the crucial moments when waves overlap. - Simple Harmonic Motion (SHM) Mode Automatically generate beautiful sine waves with a single button. Ideal for observing continuous waves traveling at a constant period or standing waves created by reflection. - Free Customization Adjust the simulation speed, change the colors of each wave, and use the snapshot feature (which leaves a faint trace of the waveform in the background). 【Recommended For】 - Students studying wave mechanics who want to visually understand wave reflection and interference. - Educators who want to clearly explain wave motion in their classes. - Anyone who wants to relax by watching soothing, undulating waves.