Equilibrium Stability Analysis

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Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

Equilibrium: Analysis and Formulation

Explores the principles of equilibrium in structures through analyzing forces and moments for stability.

Stability of ODE

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Equilibrium State Prices Determination

Explains the determination of equilibrium state prices in asset pricing through consumption market clearing and budget constraints.

Lyapunov Stability in Simple Pendulum

Explores Lyapunov stability theory in the context of a simple pendulum system, demonstrating its application and implications.

Structures and Mechanisms: Static (Rigid) Structures

Covers the analysis of static (rigid) structures, including equilibrium and free-body diagrams.

Small Scale Stability: Equilibrium Point

Covers small scale stability around equilibrium points and introduces the Van der Pol oscillator.

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.