A reservoir computer (RC) is a type of recurrent neural network architecture with
demonstrated success in the prediction of spatiotemporally chaotic dynamical systems. A …

Through the development of an exact path integral for use in transferring information from
observations to a model of the observed system, the author provides a general framework …

Malkus waterwheel model is a Lorenz type chaotic-physical model expressed in terms of a
system of nonlinear ordinary differential equations. In this investigation, we consider …

We study the thermodynamic efficiency of the Malkus–Lorenz waterwheel. For this purpose,
we derive an exact analytical formula that describes the efficiency of this dissipative structure …

In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We
discuss the existence and uniqueness of a solution of the fractal-fractional model using the …

This book focuses on a class of uncertain systems that are called imperfect, and shows how
much systems can regularly work if an appropriate control strategy is adopted. Along with …

We derive rigorous upper bounds on the transport< XY> where<⋅> indicates time average,
for solutions of the Lorenz equations without assuming statistical stationarity. The bounds …

In this paper, a new electro-mechanical chaotic oscillator is presented. The system is based
on the motion of the metal tip of a beam in a double-well potential generated by two …

We conduct a detailed experimental and numerical study on the subtle dynamics of the
chaotic torsion pendulum (CTP). We first present experimental observations reported by …

This dissertation explores and develops an optimal control approach to upper bounds on
transport properties of fluid flows inspired by the physical phenomenon of buoyancy-driven …