Small changes in conditions can cause dynamical systems to suddenly shift to new, potentially undesirable, regimes. However, characterizing previously unseen dynamical regimes—a critical bit of ...

Lab of Nonlinear Dynamical Systems, V.I. Il’ichev Pacific Oceanological Institute of the Russian Academy of Sciences, Vladivostok, Russia The Lagrangian approach (LA) in ocean modelling relies on 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 ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

From whatever we observe, sense and perceive, we try to infer some prediction, i.e. we derive some expectation about the future. Any prediction requires a model (implicit or explicit) to be simulated, ...

Abstract: Nonlinear dynamical systems with oscillatory (periodic, quasi-periodic and chaotic) responses are analyzed in this paper through the method of Lyapunov exponents. The main goal is to present ...

How do communities self-organize to manage a changing environment? Answering this requires addressing the emergence of shared, context-dependent criteria for “cooperativeness.” Existing game-theoretic ...

Let $(A, G, \tau)$ be a noncommutative dynamical system, i.e. $A$ is a $C^\ast$-algebra, $G$ a topological group and $\tau$ an action of $G$ on $A$ by $^\ast ...