Elements of Applied Bifurcation Theory
by Yuri A. Kuznetsov · Yuri Kuznetsov
Graduate text on the local and global bifurcations of finite-dimensional dynamical systems, covering normal forms, center manifold reduction, codimension-one and -two bifurcations of equilibria and cycles, and numerical continuation methods. Prepares readers to analyze and compute bifurcations in applied models.
This link may earn us a small commission at no extra cost to you. Affiliate disclosure
More resources on Bifurcation Theory
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
Scholarpedia: Bifurcation Theory
Peer-reviewed encyclopedia entry curated by John Guckenheimer defining bifurcations in dynamical systems and classifying the main local and global types, with notes on bifurcations of chaotic and quasiperiodic systems. Readers learn how a system's qualitative behaviour changes as parameters vary.
Nonlinear Dynamics and Chaos
Explore bifurcation theory with Steven Strogatz in this Nonlinear Dynamics & Chaos course. Understand complex systems and their behavior!