… 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 …

… 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 …

… 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 …

… chaotic system. In the last few years, only a few works related with 4D chaotic dynamical
systems … m and r has a strong impact on the entropy estimates obtained by these three indices. …

… 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 …

… a demo example of a dynamical system. The same example, in combination with its
sophisticated variants, is used for the initial experimental evaluation of the possibilities of semiempir…

… of RNNs from the dynamical system viewpoint. We draw … and theoretical success from
dynamical systems to understand and … competitive performance over strong recurrent baselines on …

… 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. …

… -order systems is presented to estimate the … neural network for the fractional-order
observers. The merits of the proposed observer are stability of the closed loop system, robustness …