Topic Visualizers — Interactive Explainers

Interactive web demonstrations and other visualizations built by Theodore Pavlic covering a range of topics in science, mathematics, statistics, and engineering.

Lectures and other short video tutorials can be found at TedPavlic's YouTube channel.

© 2026 Theodore P. Pavlic · MIT License

Nonlinear Systems

Nullclines & Jacobian Linearization Explorer — interactive explainer

See how nullclines locate equilibria, what the Jacobian linearization reveals about their stability, and what the nullcline geometry can and cannot show on its own.
Lyapunov Level-Set Explorer — interactive explainer

Explore Lyapunov functions and level-set curves for common nonlinear dynamical systems, then synthesize them automatically with sum-of-squares programming that exports runnable MATLAB and Python code.
Multi-Scroll Attractors & Hyperchaos — interactive primer

Explore multi-scroll chaotic attractors and hyperchaos, and how their dynamics underpin image-encryption schemes.

Statistics

Survival & Recurrent-Event Analysis Visualizer — interactive explainer

Explore exponential transition rates, right censoring, and repeated events through interactive survival curves and two-state transition models.

More from Ted Pavlic

Research Sandbox
Work-in-progress interactive demonstrations meant for communication and exploration of ideas related to ongoing research projects.
Bio-Inspired AI & Optimization — Course Visualizations
Supplemental interactive explorers for IEE/CSE 598: Bio-Inspired AI and Optimization at Arizona State University, spanning genetic algorithms, swarm intelligence, neural networks, and other bio-inspired methods.
Notes, Documents, & Guides
Markdown-formatted notes and instructional guides on a variety of fundamental and applied science and engineering topics.
Lectures and short video tutorials on YouTube
Including the Office Hours playlist.