Climate variability emerges from the interaction of nonlinear processes operating across a vast range of spatial and temporal scales. At its heart lies the theory of dynamical systems, which provides ...

Dynamical systems and β-expansions form a vibrant area of research that bridges classical number theory, ergodic theory and fractal geometry. At its heart, β-expansion offers an alternative to the ...

Demonstrating the applicability of αη across a diverse range of systems. These include a canonical dynamical system (Rössler attractor), simulation data for slow earthquakes (spring-slider system), 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, ...

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 ...

Dynamic systems pays attention to patterns of change over time. Source: Drawing by A. Danvers “Personal histories are processes of change in time, and the change itself is one of the things ...

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 ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...