Dynamical systems encompass mathematical frameworks for describing how points in a given space evolve over time under deterministic or stochastic rules. They arise in contexts as varied as celestial ...

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 ...

Making accurate predictions of chaotic dynamical systems is an essential but challenging task with many practical applications in various disciplines. However, the current dynamical methods can only ...

In the context of physical systems, dynamical systems are mathematical models that describe the time evolution of a system’s state, typically represented as points in a phase space governed by ...

Society for Industrial and Applied Mathematics. Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a ...

The application of dynamical systems theory to areas outside of mathematics continues to be a vibrant, exciting, and fruitful endeavor. These application areas are diverse and multidisciplinary, ...