all articles
Cellular Automata Introduction
This article provides introduction of cellular automata which are discrete dynamical systems used primarily as a computational model to study how spatiotemporal patterns evolve in a wide range of phenomena
Logistic Map
This article explores the logistic map, a nonlinear difference equation capturing dynamic behaviors, including chaos, with insights into bifurcation and complex systems modeling
Logistic Growth Model
This article introduces the logistic growth model, exploring population dynamics with a carrying capacity, and compares it to a modified version with an optimal growth ratio using mathematical modeling and simulations
Review of Complexity Book by Melanie Mitchell
This article is a detailed review of Melanie Mitchell's Complexity: A Guided Tour, summarizing its exploration of complex systems, emergent behavior, networks, scaling, and computation, while highlighting the book's accessibility and its call for a unified theory of complexity
Network Theory
This article provides an extensive overview of network theory, covering graph representations, directed and bipartite graphs, cocitation, bibliographic coupling, hypergraphs, paths, geodesics, and specialized concepts like Eulerian and Hamiltonian paths, supported by mathematical definitions and visual examples