Sparse identification of nonlinear dynamical systems is a topic continuously increasing significance in the community. Here we explore it at level lattice many degrees freedom. We illustrate ability suitable adaptation Physics-Informed Neural Networks (PINNs) to solve inverse problem parameter such discrete, high-dimensional inspired by physical applications. The methodology illustrated diverse...

In this paper we extract from a large-$r$ expansion of the vacuum Einstein's equations dynamical system governing time evolution an infinity higher-spin charges. Upon integration, evaluate canonical action these charges on gravity phase space. The truncation to quadratic order and associated charge conservation laws yield infinite tower soft theorems. We show that higher spin gravitons in confo...

the presence of van der waals (vdw) force can lead to mechanical instability in freestanding nano-scale actuators. most of the previous researches in this area have exclusively focused on modeling the instability in actuators with one actuating components. while, less attention has been paid to actuators consist of two actuating components. herein, the effect of the vdw force on the instability...

in this paper, unsteady two phase simulation of nanofluid flow and heat transfer between moving parallel plates, in presence of the magnetic field is studied. the significant effects of thermophoresis and brownian motion have been contained in the model of nanofluid flow. the three governing equations are solved simultaneously via galerkin method. comparison with other works indicates that this...

geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. the material model is of boltzmann superposi¬tion principle type. a third-order displacement field is used to model the shear deformation effects. for the solution of the nonlinear governing equations the dynamic relaxation (dr) iterative method together with the finite difference discretizati...

refraction and diffraction combination of waves, is very important and applicable problem in coastal engineering (e.g. for designing break - water). however, formulation of this phenomen and numerical solution is very difficult. in this study, a numerical algorithm based on the mild slop sea bed theory is presented to obtain the appropriate governing equations of combined refraction diffraction...

Clean energy harvesting and usage has gained considerable attention in the last few decades. While the horizontal axis wind turbines have been used extensively, they have certain defects and functional limitations. In the present paper, a novel oscillatory wind turbine is proposed. The conceptual design of the new turbine together with its configuration is explained. Dynamical equations of the ...

We develop a framework for the control of dynamical systems that we know very little about. From limited, high-dimensional data observations, we approximate the natural dynamics of the system and investigate the controllability of the identified equations. The linear discrete-time-invariant model identification is done using dynamic mode decomposition (DMD), which is motivated by Koopman operat...