Nonlinear Systems: Phase Portrait Analysis

Related lectures (31)

Page 3 of 4

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers the Newton method for finding zeros of functions using data interpolation.

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Covers the Phase Plane Analysis of 2-dimensional neuron models, focusing on nullclines and fixed points.

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.

Explores stability properties and fixed points in discrete time solutions.

Covers the Picard method for solving nonlinear equations using fixed point iteration.