Chaos Theory: Maps and Lyapunov Exponents

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Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

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 systems, fractals, and dimensions in Chaos Theory.

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

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

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

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.