Dynamical systems theory provides a unifying mathematical framework for understanding how complex phenomena evolve over time. By employing differential and difference equations, researchers can ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

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, ...

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 ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

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 ...

We establish a Bemstein-type inequality for a class of stochastic processes that includes the classical geometrically ɸ-mixing processes, Rio's generalization of these processes and many time-discrete ...

ABSTRACT. Social-ecological systems (SES) are dynamic systems that continuously change in response to internal or external pressures. A better understanding of the interactions of the social and ...

Propel your career forward with an accredited graduate certificate. Control systems are fundamental to engineering. They can also provide the fundamental shift that expands your career in whatever ...