Lectures related to Lorenz system

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Chaos in Turbulence: Understanding Deterministic Behavior

Examines the connection between turbulence and deterministic chaos, focusing on predictability and the complexity of chaotic systems.

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.

Probabilistic Description of Turbulence

Explores the stochastic nature of turbulence and the challenges in predicting its behavior accurately.

Monetary Policy and Public Debt Analysis

Analyzes monetary and fiscal policy responses to public debt accumulation and the impact of Covid-19 on global economies.

Chaos Theory: Turbulence and Double Pendulum

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

Concept of Stability in ODEs

Explores stability in ODEs, including error checks, equilibrium points, and global attractors, with a focus on numerical schemes like Euler's method.

Nonlinear Dynamics and Complex Systems

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

Nonlinear Dynamics and Chaos

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

Chaos Theory: Fractals and Dimensionality

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

Chaos and Lyapunov Exponents: Properties and Dynamics

Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.

Chaos and Lyapunov Exponents: Analyzing Predictability

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

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Forces and Torsion in Electrical Circuits

Explores forces and torsion in electrical circuits, analyzing the impact of angles on wire behavior.

Bifurcation and fractals in complex dynamical systems

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Newton's Laws: Inertia and Gravitation

Explains Newton's first law of motion and the concept of gravitation.

Metropolis-Hastings Algorithm

Covers the Metropolis-Hastings and Glauber algorithms for sampling from the Boltzmann distribution in the Curie-Weiss model.