Nonlinear Dynamics and Chaos

Related lectures (52)

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

Covers the Newton method for finding zeros of functions using data interpolation.

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Explores electron configurations, quantum numbers, and the implications of electron spin.

Covers fixed point methods for finding zeros of non-linear equations.

Covers hyperstatic-hypostatic systems, equilibrium, and constraints in structural mechanics.

Explores stability in ODEs, including error checks, equilibrium points, and global attractors, with a focus on numerical schemes like Euler's method.

Covers linear models for multi-class classification, focusing on logistic regression and evaluation metrics.

Explores Lipschitz dependence supported by examples and theoretical hypotheses, emphasizing global unique solutions.

Covers the local inverse theorem, diffeomorphisms, contraction mappings, and the Jacobian determinant.

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