Transcritical Bifurcations: Understanding Dynamical Systems

Related lectures (31)

Page 3 of 4

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Covers Newton-Krylov-hookstep methods for finding roots of high-dimensional systems.

Explores the concept of limit cycles in biological systems and their significance in understanding system dynamics.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Discusses stability analysis of equilibrium points in dynamical systems.

Covers the concept of large scale stability in dynamical systems.

Covers power series, Taylor series, and their applications in functions like logarithmic functions.