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This study aims to advance the understanding of the relationships between employee engagement (EE), satisfaction and turnover intention (TI) beyond their known linear functions by providing a set of significant empirical evidence on nonlinear functions including quadratic, cubic and interactive effects.

This study used four 2 × 2 between-subjects experiments sampling 640 hospitality sales professionals through online data collection methods. EE and employee satisfaction (ES) were examined in disaggregation into personal and organizational dimensions. Residual regression models controlling for age and gender as covariates were the main approaches for analyzing data for nonlinear effects.

Both EE and ES consistently have significant negative quadratic and positive cubic effects on employees’ TI. EE and ES have a negative interaction effect, that is, complementing each other, on TI such that the effect is more pronounced at higher levels than lower levels of EE and satisfaction.

Organizations need to understand some threshold phenomena that may exist in the widely believed linear effects of EE and satisfaction on TI. Doing so may help allocate resources more effectively for EE and satisfaction.

This study examined the nonlinear as well as interactive nature of the relationships between EE and TI and ES and TI to expand our understanding of these relationships beyond the known linearity and add new empirical evidence to the literature.

A thorough analysis of nonlinear relationships between quality management (QM) and organizational outcomes has largely been ignored in the current empirical QM literature, which can have profound theoretical and managerial implications. The existence of nonlinear relationships implies taking a contingent view in that QM practices are more effective depending on their level of implementation in an organization. The purpose of this paper is to focus on this possibility and undertake an in-depth study of the sparse nonlinear relationship suggested by the literature.

The authors introduce an empirical study carried out on a sample of 168 service firms belonging to sectors experienced in QM and, through polynomial regression analysis, identify the nature of the relationship between QM and financial performance (return on assets).

The results, by showing an S-shaped curve, support a nonlinear association between these two variables. The presence of this functional form provides a satisfactory solution to the growing debate among researchers who, from a linear perspective, defend the positive effects of QM on organizational outcomes, those who find no significant effect, and still others who claim that QM has a negative effect.

The results show that in organizations with a low level of QM implementation, managers should increase investment in QM, even though this increase will not be correspondingly beneficial in the same proportion. In contrast, in organizations with a high level of QM implementation, managers are advised to reflect on undertaking projects that represent an additional investment in QM, with the aim of finding their optimal level.

This study aims to examine the nonlinear threshold effect of shadow economy on sustainable development in Africa while providing additional evidence on how this nonlinear threshold effect play out in economies with high and low developed financial/credit markets.

This study uses 37 African economies between 2009 and 2017 in a dynamic GMM panel model that controls for country, year and technological effects to ensure consistency and reliability of results and findings.

The results reveal that there is an inverted nonlinear U-shape nexus between the size of shadow economy and sustainable development in both short run and long run in Africa and across economies with high and low developed credit/financial market. Also, the threshold points beyond which the size of shadow economies dampens sustainable development is lower for economies with high financial/credit market development and higher in the long run.

These results have policy implications and recommendations and suggest that shadow economies can be beneficial to sustainable development particularly when the size of shadow economies are restrained from increasing beyond certain thresholds/levels. Moreso, to restrict the adverse effect of shadow economies on sustainable development, policymakers can rely on developing their financial/credit markets to tame the destructive nature of shadow economies on sustainable development. These results are robust to technological, year/time and country effects.

To the best of the author’s knowledge, this study examines for the first in the context of Africa, the nonlinear effect of shadow economies on sustainable development under low and high developed financial markets.

The purpose of this paper is to study the effects of nonlinear partial slip on the walls for steady flow and heat transfer of an incompressible, thermodynamically compatible third grade fluid in a channel. The principal question the authors address in this paper is in regard to the applicability of the no‐slip condition at a solid‐liquid boundary. The authors present the effects of slip, magnetohydrodynamics (MHD) and heat transfer for the plane Couette, plane Poiseuille and plane Couette‐Poiseuille flows in a homogeneous and thermodynamically compatible third grade fluid. The problem of a non‐Newtonian plane Couette flow, fully developed plane Poiseuille flow and Couette‐Poiseuille flow are investigated.

The present investigation is an attempt to study the effects of nonlinear partial slip on the walls for steady flow and heat transfer of an incompressible, thermodynamically compatible third grade fluid in a channel. A very effective and higher order numerical scheme is used to solve the resulting system of nonlinear differential equations with nonlinear boundary conditions. Numerical solutions are obtained by solving nonlinear ordinary differential equations using Chebyshev spectral method.

Due to the nonlinear and highly complicated nature of the governing equations and boundary conditions, finding an analytical or numerical solution is not easy. The authors obtained numerical solutions of the coupled nonlinear ordinary differential equations with nonlinear boundary conditions using higher order Chebyshev spectral collocation method. Spectral methods are proven to offer a superior intrinsic accuracy for derivative calculations.

To the best of the authors' knowledge, no such analysis is available in the literature which can describe the heat transfer, MHD and slip effects simultaneously on the flows of the non‐Newtonian fluids.

The purpose of this paper is to explore the dynamics of the relationships between sales and internal and external environmental drivers in a retail company using a systems perspective in order to support retail management decisions with nonlinear methods.

The research and results are presented in two parts: the collection and explorative analysis of the data; and discussion of the managerial implications following a systems perspective. The exploratory analysis is conducted using a statistical comparison of linear and nonlinear models of sales data from a retail company. The data, which comprise two data sets, come from 45 retail stores located in different regions of the USA.

Specifically, nonlinear models provided a better explanation of variation in retail activity (R²=46 per cent) than linear models (R²=16 per cent). In such a situation, the nonlinear analysis captures the influence of internal and external environmental drivers on retail sales.

With a limited variety of external and internal drivers, the exploratory analysis aims to describe a general situation in which retailers are managing activities in complex environments as opposed to reflect on a particular retail chain.

The systems perspective is used to interpret the managerial implications of the nonlinear analysis fits, particularly in cases where retail decision-makers are adapting, transforming and restructuring sources of competitive advantage in complex environments.

The paper provides an alternative perspective (the systemic one) of how retailers could interpret the relationships between internal and external variables in the dynamic environment of the retail chains with nonlinear models.

The purpose of this paper is concerned with the study of nonlinear ultrasonic waves in a magneto-flexo-thermo (MFT) elastic armchair single-walled carbon nanotube (ASWCNT) resting on polymer matrix.

A mathematical model is developed for the analytical study of nonlinear ultrasonic waves in a MFT elastic armchair single walled carbon nanotube rested on polymer matrix using Euler beam theory. The analytical formulation is developed based on Eringen’s nonlocal elasticity theory to account small scale effect. After developing the formal solution of the mathematical model consisting of partial differential equations, the frequency equations have been analysed numerically by using the nonlinear foundations supported by Winkler-Pasternak model. The solution is obtained by ultrasonic wave dispersion relations.

From the literature survey, it is evident that the analytical formulation of nonlinear ultrasonic waves in an MFT elastic ASWCNT embedded on polymer matrix is not discussed by any researchers. So, in this paper the analytical solutions of nonlinear ultrasonic waves in an MFT elastic ASWCNT embedded on polymer matrix are studied. Parametric studies is carried out to scrutinize the influence of the nonlocal scaling, magneto-electro-mechanical loadings, foundation parameters, various boundary condition and length on the dimensionless frequency of nanotube. It is noticed that the boundary conditions, nonlocal parameter and tube geometrical parameters have significant effects on dimensionless frequency of nanotubes.

This paper contributes the analytical model to find the solution of nonlinear ultrasonic waves in an MFT elastic ASWCNT embedded on polymer matrix. It is observed that the increase in the foundation constants raises the stiffness of the medium and the structure is able to attain higher frequency once the edge condition is C-C followed by S-S. Further, it is noticed that the natural frequency is arrived below 1% in both local and nonlocal boundary conditions in the presence of temperature coefficients. Also, it is found that the density and Poisson ratio variation affects the natural frequency with below 2%. The results presented in this study can provide mechanism for the study and design of the nano devices such as component of nano oscillators, micro wave absorbing, nano-electron technology and nano-electro--magneto-mechanical systems that make use of the wave propagation properties of ASWCNTs embedded on polymer matrix.

The purpose of this paper is to present a numerical analysis of the nonlinear dynamic response of a gear‐bearing system subject to nonlinear suspension effects, micropolar fluid, journal bearing, nonlinear oil‐film force and nonlinear gear mesh force. The results presented in this study provide some useful insights into the design and development of the system for rotating machinery that operates in highly rotational speed and highly nonlinear regimes.

The non‐dimensional equation of the gear‐bearing system proposed in this study is solved using the Runge‐Kutta method. The non‐periodic behavior of this system is characterized using phase diagrams, power spectra, Poincaré maps, bifurcation diagrams, Lyapunov exponents and the fractal dimension of the system.

The numerical results reveal that the system exhibits a diverse range of periodic, sub‐harmonic, quasi‐periodic and chaotic behaviors. The micropolar fluid is a useful lubricating fluid to suppress nonlinear dynamic responses and improve the dynamic regularity of the systems.

The unbalance coefficient, damping coefficient, other control parameters and some experiments are also important to identify dynamic behaviors of those systems and they may be regarded as research directions in the future.

Because of financial constraints, some important experiments are outstanding to identify dynamic behaviors of these systems and await research in the future.

This study has presented a numerical analysis of the nonlinear dynamic response of a gear‐bearing system with nonlinear suspension effects, micropolar fluid, journal bearing, nonlinear oil‐film force and nonlinear gear mesh force.

This study aims to predict China's carbon emission intensity and put forward a set of policy recommendations for further development of a low-carbon economy in China.

In this paper, the Interaction Effect Grey Power Model of N Variables (IEGPM(1,N)) is developed, and the Dragonfly algorithm (DA) is used to select the best power index for the model. Specific model construction methods and rigorous mathematical proofs are given. In order to verify the applicability and validity, this paper compares the model with the traditional grey model and simulates the carbon emission intensity of China from 2014 to 2021. In addition, the new model is used to predict the carbon emission intensity of China from 2022 to 2025, which can provide a reference for the 14th Five-Year Plan to develop a scientific emission reduction path.

The results show that if the Chinese government does not take effective policy measures in the future, carbon emission intensity will not achieve the set goals. The IEGPM(1,N) model also provides reliable results and works well in simulation and prediction.

The paper considers the nonlinear and interactive effect of input variables in the system's behavior and proposes an improved grey multivariable model, which fills the gap in previous studies.

The purpose of this paper is to provide an overview of the major reliability issues of microelectromechanical systems (MEMS) under mechanical and environmental loading conditions. Furthermore, a comprehensive study on the nonlinear behavior of silicon MEMS devices is presented and different aspects of this phenomenon are discussed.

Regarding the reliability investigations, the most important failure aspects affecting the proper operation of the MEMS components with focus on those caused by environmental and mechanical loads are reviewed. These studies include failures due to fatigue loads, mechanical vibration, mechanical shock, humidity, temperature and particulate contamination. In addition, the influence of squeeze film air damping on the dynamic response of MEMS devices is briefly discussed. A further subject of this paper is discussion of studies on the nonlinearity of silicon MEMS. For this purpose, after a description of the basic principles of nonlinearity, the consequences of nonlinear phenomena such as frequency shift, hysteresis and harmonic generation and their effects on the device performance are reviewed. Special attention is paid to the mode coupling effect between the resonant modes as a result of energy transfer because of the nonlinearity of silicon. For a better understanding of these effects, the nonlinear behavior of silicon is demonstrated by using the example of Si cantilever beams.

It is shown that environmental and mechanical loads can influence on proper operation of the MEMS components and lead to early fracture. In addition, it is demonstrated that nonlinearity modifies dynamic response and leads to new phenomena such as frequency shift and mode coupling. Finally, some ideas are given as possible future areas of research works.

This is a review paper and aimed to review the latest manuscripts published in the field of reliability and nonlinearity of the MEMS structures.

The purpose of this paper is to describe whether workers in high positions and workers in low positions think differently about status and possible future career advancement opportunities.

The paper uses German panel data to examine the effects of relative standing on individual satisfaction with the job, the propensity to change jobs, and intentions to start-up an enterprise in the near future.

The relationship between relative wage positions and job satisfaction is inversely U-shaped. This is interpreted as evidence that low status translates into low utility while employees with high relative standing seem to be more concerned about the lack of future career prospects in paid employment. Workers who gather utility from status and career advancement opportunities simultaneously are more satisfied with their jobs. The paper also shows that lower satisfaction with the job translates into considerations to leave the job.

The described relationships explain individual determinants of voluntary quits and workforce fluctuations, which are of special interest in debates about possible shortages of skilled labor or tightening labor markets for skilled workers.

Individual comparisons with peers affect individual reasoning.

The paper aims to enhance the discussion about nonlinear effects in status considerations as well as future career advancement opportunities. The paper shows that workers in very high and very low positions value these important psychological traits differently.