Dynamical systems provide a rigorous framework for understanding the evolution of complex systems over time, encapsulating models ranging from classical mechanical systems to chaotic and fractal ...

The study of Lyapunov exponents provides a fundamental framework for assessing the stability and chaotic behaviour of dynamical systems. These exponents quantify the average exponential rates of ...

Use individual and team exercises to build skills for a dynamic systems approach. Engineered systems increasingly must exploit complex interactions between multiple domains—mechanical, electrical, ...

Earn an Online Dynamic Systems Certificate. Equip Yourself For Success in Model-Based Engineering. Our world is composed of dynamic systems: those that are not static but that change with time due to ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the ...

Researchers from Osaka University have developed an artificial intelligence algorithm that discovers the underlying conservation laws of real-world dynamical systems, not just the superficial dynamics ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern ...