Lectures related to Dynamic Systems: Model Building and Trajectories Representation

Dynamic Systems: Course Review

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

Introduction to Dynamical System Theory for Engineers

Covers trajectory, solution, and orbit of dynamical systems for engineers.

Phase Plan: Trajectories and Isoclines

Explores trajectories and isoclines in mechanical systems using phase plans and different representation methods.

Dynamical System Theory for Engineers: Large Scale Stability

Covers the concept of large scale stability in dynamical systems.

Dynamical Systems: Equilibrium Points and Stability

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

Introduction to Dynamical System Theory

Introduces dynamical system theory for engineers, covering trajectories, orbits, and solutions.

Dynamic Systems in Biology

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Dynamical System Theory for Engineers: Large Scale Stability

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Large Scale Stability Analysis

Covers large scale stability analysis and properties of dynamical systems solutions.

Convolution and Laplace Transform

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

Small Scale Stability: Gradient Systems

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Stability: Poles, Zeros, and Control

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.

Modeling Dynamic Systems: Definitions and Examples

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

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.

Introduction to Dynamical System

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

Nonlinear Dynamical Systems: Key Concepts

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

System Variables and Types of Systems

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

Harmonic Responses to Non-Harmonic Signals

Covers the harmonic responses of systems to non-harmonic signals.

Fixed Points and Stability

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Kinematics and Dynamics of Point Particle

Covers the kinematics and dynamics of a point particle, including position, trajectory, velocity, acceleration, and Newton's laws.