Lectures related to Dynamical systems theory

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Dynamical Systems: Equilibrium Points and Stability

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

Chaos Theory: Turbulence and Double Pendulum

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

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Nonlinear Dynamical Systems: Key Concepts

Covers key concepts in nonlinear dynamical systems, such as existence, uniqueness, and continuous dependence of solutions.

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

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

Learning Chemical Reaction Networks

Explores sparse learning of chemical reaction networks from trajectory data using data-based methods and learning approaches.

Dynamical Systems: Maps and Stability

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

Dynamics on Homogeneous Spaces and Number Theory

Covers dynamical systems on homogeneous spaces and their interactions with number theory.

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Dynamics of Discrete Systems

Covers the dynamics of discrete systems and the concept of orbits in Riemann varieties.

Non-Stochastic Control Problem: Online Gradient Boosting

Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.

System Variables and Types of Systems

Covers system variables, types of systems, and process control in static and dynamic systems.

Linear Response for Chaotic Systems

Explores linear response for chaotic systems, discussing SRB states, Lyapunov exponents, and convergence of the response formula.

Mathematical Modeling in Chemistry and Biology

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Dynamical Systems for Engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Intelligent Maintenance Systems

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

Symmetries in Dynamics

Covers the symmetries in space-time and dynamical equations, with examples from Newtonian dynamics.

Dynamical Systems: Mathematical Modeling

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.