Lectures related to Ruelle Resonances for Geodesic Flow on Noncompact Manifolds

Discusses faults in intelligent maintenance, Denoising Sparse Wavelet Network, Koopman operator theory, and Graph Neural Networks.

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.