Lectures related to Examples: Linear and Nonlinear Functions

Examines the connection between turbulence and deterministic chaos, focusing on predictability and the complexity of chaotic systems.

Explores Poincaré sections, chaos, and strange attractors in nonlinear physics.

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

Explores the application of PDEs in viscoelastic materials and materials science.

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

Covers phase plan representation, limit cycles, topological index, and the first harmonic method.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.