Stability Analysis: Cosine Function and Equilibrium Points

Related lectures (30)

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Covers the calculation of limits using Taylor series and the composition of compound functions.

Discusses stability analysis of equilibrium points in dynamical systems.

Explores approximating functions with polynomials in inner product spaces, focusing on degree 2 and cosine functions.

Delves into harmonic oscillations, equilibrium, stability, and natural frequency in physical systems.

Explains the Taylor series expansion of order 4 for the cosine function.

Covers the definition of sine and cosine functions, their graphs, and notable points.

Explores symmetry in XCOSV-y-Sind and staggered ethane molecules.

Covers orders of magnitude in physics and polynomial approximation for simplifying complex functions.

Covers the illustration of a stationary wave on a vibrating plate and spatial solution formulas with specific boundary conditions.

Explores algebraic operations on Taylor expansions and the development of various functions.