Stability of Discrete Time Periodic Solutions

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Explores stability properties and fixed points in discrete time solutions.

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

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

Covers small scale stability conditions and asymptotic behavior around fixed points.

Focuses on fixed points in graph theory and their implications in algorithms and analysis.

Covers the computation of Bethe free entropy and the interpretation of messages between variables and factors.

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

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

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

Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.