Chaos Theory: Discrete Dynamical Systems

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

By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.