The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

The climate is a forced, dissipative, nonlinear, complex, and heterogeneous system that is
out of thermodynamic equilibrium. The system exhibits natural variability on many scales of …

Existence and uniqueness theorems are given for RODEs under classical and Carathéodory
assumptions. In the latter case the measurability of solutions is also established. Conditions …

In this article, we first prove some sufficient conditions guaranteeing the existence of
invariant sample measures for random dynamical systems via the approach of global …

The relative role of external forcing and of intrinsic variability is a key question of climate
variability in general and of our planet's paleoclimatic past in particular. Over the last 100 …

The limiting stability of invariant probability measures of time homogeneous transition
semigroups for autonomous stochastic systems has been extensively discussed in the …

The definition of climate itself cannot be given without a proper understanding of the key
ideas of long-term behavior of a system, as provided by dynamical systems theory. Hence, it …

In this paper, we analyze the use of the Ornstein–Uhlenbeck process to model dynamical
systems subjected to bounded noisy perturbations. In order to discuss the main …

The approach of Lyapunov functions is one of the most efficient ones for the investigation of
the stability of stochastic systems, in particular, of singular stochastic systems. The main …

We investigate the nonlinear transport processes and hydrodynamization of a system of
gluons undergoing longitudinal boost-invariant expansion. The dynamics is described within …