Loading...
Please wait while we prepare your experience
Projects
Complex Systems
Project Overview
I earned a Certificate in Complex Systems from the Santa Fe Institute, where I studied the foundations of emergent behavior, nonlinear dynamics, and network theory—learning how simple local rules can generate global patterns. This academic work is paired with hands-on application. I have designed antifragile systems within risk management—frameworks that respond to volatility by adapting and strengthening over time. That experience shaped my ongoing interest in how complex systems can be modeled, simulated, and optimized in real-world contexts. I'm currently developing deeper technical and mathematical skills to expand this work, exploring tools from computational modeling, agent-based simulation, and statistical mechanics to data visualization and algorithmic design. My goal is to bridge theory and practice—building systems that don't just resist disruption but evolve through it.
Questions about this project?
Research Studies
Live computational studies exploring the boundaries of chaos and complexity.
Lorenz Attractor
Classical chaotic system exhibiting strange attractor behavior. Small changes in initial conditions lead to dramatically different outcomes.
Logistic Map
Simple quadratic recurrence relation that exhibits complex behavior. Demonstrates period-doubling route to chaos and Feigenbaum constants.
Public API
Access live complex systems data through our RESTful API with built-in caching and rate limiting.
Fast & Cached
Redis-powered caching with sub-100ms response times
Rate Limited
Fair usage with sliding window rate limiting
TypeScript
Fully typed responses and comprehensive documentation
Get Lorenz Trajectory Data
Request:
fetch('/api/studies/lorenz/1/trajectory?sample=100')
.then(response => response.json())
.then(data => {
console.log('Trajectory points:', data.points);
console.log('Cache status:', response.headers.get('X-Cache'));
console.log('Rate limit remaining:', response.headers.get('X-RateLimit-Remaining'));
});Response:
{
"study_id": "uuid",
"points": [
{
"timestep": 0,
"time": 0.0,
"x": 1.0,
"y": 1.0,
"z": 1.0
}
],
"total_points": 1000,
"sampled": true,
"sample_size": 100
}Rate Limits
Endpoint Types
- • List endpoints: 100 requests/hour
- • Detail endpoints: 100 requests/hour
- • Heavy data: 50 requests/hour
- • Metrics: 100 requests/hour
Headers
- •
X-RateLimit-Limit- Your limit - •
X-RateLimit-Remaining- Requests left - •
X-RateLimit-Reset- Reset timestamp - •
X-Cache- Cache hit/miss status
Live API Statistics
Real-time performance metrics and usage statistics
API calls today
Most popular
Avg response time
Cache hit rate
API is cached and fast ⚡
Methodology
Rigorous scientific computing with modern tools and open-source principles
Julia
High Performance
Leveraging Julia's high-performance computing capabilities for real-time complex systems simulation and analysis.
Key Features
- Sub-millisecond computation times
- Parallel processing capabilities
- Memory-efficient algorithms
- Real-time visualization
DynamicalSystems.jl
Rigorous Methods
Using state-of-the-art scientific computing libraries for accurate dynamical systems analysis and chaos detection.
Key Features
- Lyapunov exponent calculation
- Bifurcation analysis
- Poincaré sections
- Stability analysis
Open Source
Reproducible
All research code, data, and methodologies are open source, ensuring reproducibility and scientific transparency.
Key Features
- Git-based version control
- Comprehensive documentation
- Docker containerization
- MIT license
Open Source Research
All code, data, and methodologies are publicly available. Contribute to advancing the field of complex systems research.
Project Gallery
Explore the Project
Click the buttons above to explore the live Complex Systems project or view the source code on GitHub.