Small Scale Stability: Gradient Systems

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 3 of 4

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Introduction to Dynamical System

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

Chinese Remainder Theorem: Rings and Fields

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Analysis I: Decreasing and Growing Functions

Explores decreasing and growing functions, bounded sequences, and limit existence.

Functional Analysis I: Norms and Bounded Operators

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Nonlinear Dynamics: Stability and Chaos

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

Physics 1: Small Oscillations and Equilibrium Points

Explores small oscillations, equilibrium points, harmonic oscillators, and gravitational fields in physics, including historical perspectives on celestial movements.

Physics 1: Ball in Equilibrium

Discusses a ball in equilibrium within a ring using spherical coordinates and accelerations.

Banach Spaces: Reflexivity and Convergence

Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.

Equilibrium Points and Stability

Explores equilibrium points and stability in mechanical systems with multiple degrees of freedom.