… stochastic and deterministic chaotic dynamical systems in noise. … The robustness and scalability
of our approach is evaluated … problem of estimating the state variables of the system from …

… The Lyapunov Time is a key time scale in chaotic dynamical systems, which is defined as
the inverse of the leading Lyapunov exponent Λ of the system, which, in turn, is the exponential …

… been carried out on chaotic dynamical systems for fractals and … provide strong evidence
that domain structured chaos is … PA and Fu AC 1999 Estimate of exponential convergence rate …

… The multi-step ahead forecasting of a chaotic dynamic is usually … LSTM nets also proved
more robust with respect to the … -time dynamical systems, universally known for being chaotic, to …

… Prediction of nonlinear and dynamic systems is a challenging task, however with the aid of
… neural networks, is now possible to accomplish this objective. Most common neural networks …

… lack such strong guarantees. • We impose dissipativity by … potentially infinite dimensional
dynamical systems where the … autonomous, dissipative, chaotic dynamical systems. In particular…

… of a high-dimensional differentiable dynamical system [40]. … for all dimensionality estimates
growth of dimension with g in … a strong effect of time-discretization: Increasing the step size …

… metrics adopted for their performance evaluation, and the details of the training procedure. …
neural networks are dynamical system which are know to frequently exhibit a chaotic …

… Then we discuss how standard neural ODEs lack robustness … integrate an ODE forward in
time to estimate the state u ( t i + τ ) (… trajectories of a chaotic dynamical system on the attractor. …

… to perform robust state estimation of CVNNs with time delays. The problem of global … is
inherent in nonlinear dynamic systems’ modelling. In fact, when a system is influenced by external …