It's only two letters long, it's probably the most widely-recognized word in the world, and technically, we don't fully know ...

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 ...

ABSTRACT: We prove that the Collatz, 3n+1 , conjecture is true. To prove this statement, we will first see that, if a number n starts a sequence that satisfies the Collatz conjecture then all ...

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 ...

In a network, pairs of individual elements, or nodes, connect to each other; those connections can represent a sprawling system with myriad individual links. A hypergraph goes deeper: It gives ...

This Collection supports and amplifies research related to SDG 3: Good Health & Well-Being. Understanding how complex biological behaviors emerge from interacting molecular, cellular, or ecological ...

ABSTRACT: This work predicts theoretically the phase portrait including the existence and uniqueness of ω-limit cycle for an initial value problem y( 0 )= y 0 with an ordinary differential equation y ...

Many common neuropsychiatric diseases, such as substance dependence/abuse, schizophrenia and manic depression, have similar dynamical profiles – they are characterized by a recurrent loss of normal ...

Abstract: This letter studies the stability of discrete-time polynomial dynamical systems on hypergraphs by utilizing the Perron-Frobenius theorem for nonnegative tensors with respect to the tensors’ ...