Non-linear models in Mechanics: Instabilities and Turbulence

Exploring nonlinear phenomena and instabilities, this book offers a comprehensive approach across various scientific fields. It begins with foundational topics in analysis and progresses through essential and advanced methods of ordinary differential equations, including visualization techniques like attractors and chaos. Subsequent chapters delve into perturbation theory, turbulence, and significant hydrodynamic instabilities. Rich in theoretical insights and practical examples, it serves as a valuable resource for students and professionals in mathematics, physics, chemistry, biology, and engineering.