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Chaos theory
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Chaos and Lyapunov Exponents: Properties and Dynamics
Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.
Linear Response for Chaotic Systems
Explores linear response for chaotic systems, discussing SRB states, Lyapunov exponents, and convergence of the response formula.
Dynamics of Simple Pendulum and Lorenz Equations
Explores the dynamics of a simple pendulum and the intriguing Lorenz equations, highlighting sensitivity to initial conditions and the transition to chaos.
Canonical Transformations: Trajectories and Integrable Systems
Explores trajectories in integrable systems and the challenges of making predictions.
RG Flows and Bounds from Chaos
Explores RG flows, quantum chaos, chaos bounds, and their fundamental connection.
Fractals and Chaos Theory
Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.
Stellar Orbits: Integrals of Motion and Phase Space Visualization
Covers integrals of motion and surfaces of section in stellar dynamics.
Probabilistic Description of Turbulence
Explores the stochastic nature of turbulence and the challenges in predicting its behavior accurately.
Turbulence Theory and Chaos in Deterministic Systems
Covers the Turbulence project, analyzing experimental data and studying chaos in deterministic systems, aiming to simulate real research scenarios.
3D Anosov Flows: Exponential Mixing and Geometric Properties
Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.