...spatially inhomogeneous nonlinearity Feshbach resonance variational approximation Thomas-Fermi approximation nonlinearizability Bogoliubov - de Gennes equations Vakhitov-Kolokolov stability criterion vortex tori vortex gyroscopes hopfions peanut-shaped potential hybrid modes localized...

... restoring force and potential energy (U(x)) can be expressed as (9.13) F ( x ) = − k x − k n x 3 (9.14) U ( x ) = − ∫ F d x = 1 2 k x 2 + 1 4 k n x 4 , where k and k_n are the linear and nonlinear stiffness...

... reduced-order models are used for predicting reservoir fluid flow dynamics. Additionally, data-driven modeling based on the Koopman operator theory has been successfully implemented for several system identification applications. According to Koopman theory, a finite-dimensional nonlinear system can have...

... Chen , S. , Wu , Z. , and Christofides , P. D. , “ A cyber-secure control-detector architecture for nonlinear processes ,” AIChE. J.   66 ( 5 ), e16907 ( 2020 ). Chen , S. , Wu , Z. , and Christofides , P. D. , “ Cyber-security of centralized, decentralized...

...., 2022 ). With surging energy prices and rising demand ( Alvarez and Molnar, 2021 ), efficient and cost-effective operations of buildings are of paramount importance. Model predictive control (MPC) is a potential game-changing control and optimization approach for buildings ( Afram et al., 2017...

...., 2021 ; and Narasimhan et al., 2022a , 2022b , 2022c ), which add to the number of potential methods that might be used to detect attacks. Another newer direction in cyberphysical systems research (that also is not a typical component of chemical engineering education) is the use of quantum...

... on the relevant topics. Preliminaries System description In this chapter, we consider a general class of nonlinear continuous-time systems of the following form: (7.1) x ˙ ( t ) = f ( x ( t ) , u ( t ) ) where x ( t ) ∈ X ⊆ R n denotes the vector of the state variables...

... of nonlinear MEMS electromagnetic vibration energy harvester ,” J. Microelectromech. Syst.   26 ( 3 ), 539 – 549 ( 2017 ). 10.1109/JMEMS.2017.2672638 Podder , P. , Mallick , D. , Amann , A. , and Roy , S. , “ Influence of combined fundamental potentials in a nonlinear vibration...

.... At the same time, the volatilization loss of the solvent can be avoided. In principle, ILs can be used as a promising gas dehydrating agent and an alternative absorbent for TEG. For these reasons, some researchers have proposed the potential use of ILs for gas dehydration ( Krannich et al., 2016...

... nearest neighbors. The interaction potential can be derived from the force of attraction as follows: (1.21) U a = − A e 2 r . Note that negative sign indicates attractive interaction between ions. The repulsive interaction between ions with same charge also shows an inverse relation...

... of assessments, language coherence, and coherent teacher support. Research on coherent instruction suggests that it has the potential “to support student competence in physics and ability to use core ideas to make sense of phenomena and solve problems.” Hence, the authors describe empirical research on teaching...

.... Energy   163 , 376 – 386 ( 2018 ). 10.1016/j.solener.2018.02.017 Chandramouli , A. , Sivachidambaranathan , V. , and Arulmurugan , R. , “ Modelling and design of five parameter single diode PV model with artificial intelligent MPPT power system ,” Nonlinearity   13 , 18 ( 2019...

...). More specifically, the elastic relaxation takes place at the peaks and the troughs get more stressed. Thus, once started, the process is self-propagating. If in addition, new material is added, the chemical potential differences are such that the atoms attach at the peaks leading to the enhancement...

... analysis (or stochastic optimization) can couple the generated random samples with the constructed unit operation and process production model. While the computational complexity of the coupled model will increase exponentially, resulting in large-scale strong nonlinear programming problems, and even...

... Survey (VASS) has six conceptual dimensions, Schommer's research hypothesized five distinct dimensions of epistemology, often streamlined to a four-dimensional model of epistemic beliefs in science ( Conley et al., 2004 ). For Schommer, these beliefs were potentially disconnected, while some...

..., μ_j is the chemical potential for species j, n_j is the number of species j, the j is the amount on the adsorbent to that in the gas phase for species j, s is the number of gaseous species, and tot is the total number...

... ). The output characteristics of solar cells are complex and strongly nonlinear. The method for simulating solar cells as a specific circuit model is mainly adopted to evaluate the characteristics and efficiency of solar cells theoretically. The theoretical models used for the output characteristics of solar...

... reflect the potential reliability of a PV system satisfying the demand load. LPSP = 0 means the load will always be satisfied by the system, while LPSP = 1 means the load will never be satisfied. Loss of load probability (LLP) LLP is defined as the amount of energy that will not be supplied under...