Numerical Bifurcation Analysis in Chemical Engineering with MATLAB

Chemical engineering systems are inherently nonlinear, from complex reaction kinetics to transport phenomena. Understanding how these systems behave under parameter changes is critical to avoiding hazardous or unstable reactor operations. This text-based course guides you from the fundamental mathematical definitions of nonlinear algebraic equations to implementing bifurcation search algorithms. You will learn how to map system behaviors, identify critical transition points, and ensure process stability using numerical methods. What you'll learn: - Understand the core mathematical concepts of nonlinear algebraic equations and stability. - Implement robust root-finding algorithms to locate steady states in chemical reactors. - Detect bifurcation points where system behavior qualitatively changes under parameter sweeps. - Write clean, structured numerical scripts to automate steady-state tracking. - Analyze stability transitions using numerical Jacobian matrices and eigenvalues. - Apply modern scientific computing practices to validate and debug your numerical solutions. You will start with key terminology and foundational definitions of nonlinearity before moving step-by-step through multi-variable systems, stability analysis, and bifurcation tracking. This course is designed for chemical engineering students, researchers, and practicing engineers who want to master numerical bifurcation analysis without needing an advanced programming background. Start mastering the numerical tools needed to predict and control complex chemical systems today.