Chaos Lab vs Make Chirps

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 educational app displays gravitational wave chirps created by mergers of massive black holes in several different ways, giving users an intuitive understanding of these exotic disturbances of space-time itself produced by cataclysmic events in distant galaxies. FEATURES: • Simulation: Experience the intricate behavior of gravitational waves through physics simulation of inspiralling black holes that merge to form a final black hole which then “shakes off” its excess energy. • Visualizations: See the essence of gravitational waves via waveform plots, frequency evolutions, and spectrograms, to understand the patterns and how they depend on black hole masses. • Auditory Experience: Listen closely as you hear the evolution of gravitational waves, detecting the characteristic increase in time in strength and frequency. Try varying masses to see how pitch is affected. • Dynamic Animations: Witness the captivating dance of black holes in collision animations. Explore the propagation of these waves through space-time with mesmerizing spiral animations. • Educational Insights: Gain a comprehensive understanding of gravitational waves and the pioneering work of LIGO through informative text pages, enhancing your knowledge of these cosmic phenomena. COMPATIBILITY Compatible with iPhone and iPad, iOS 16 or later. ACKNOWLEDGEMENT Supported by the National Science Foundation with grant PHY-2110181.