The current paper deals with synchronization problem among chaotic nonlinear fractional order systems considering input saturation constraint. To develop the idea, at first a generalized sector condition and a memory-less nonlinear function are employed to deal with the saturation problem. Then a new state feedback controller is designed to achieve synchronization in master-slave chaotic fractional order nonlinear systems with input saturation. Using the state feedback controller, the asymptotic stability of whole dynamic error model between master and slave is achieved. The stability of the closed-loop system is guaranteed using Lyapunov theory and sufficient stability conditions are formulated in terms of caputo fractional derivative of a quadratic Lyapunov function and Linear Matrix Inequalities (LMI). Finally, to verify the effectiveness of the proposed control scheme, some simulation results are employed to show the effectiveness of the proposed methodology.

Rural logistics faces a dilemma between development and high carbon emissions in China. We assess the tension between rural logistics development and carbon emissions from the perspective of policy guidance by modeling a rural logistics system using Jiangsu’s data. We simulate the development trend of Jiangsu rural logistics under carbon abatement policies from 2021–2030, with a focus on promoting its development while simultaneously reducing carbon emissions at a minimal cost. The findings show that rural logistics will move towards high carbon emissions without a carbon abatement policy, while the huge tax pressure of carbon reduction policies reduces the profitability of rural logistics, leading to a trade-off between development and decarbonization. From the perspective of implementation timing and manner of carbon abatement policies implementation, we propose a pathway for securing the profitability of rural logistics and resolving the trade-off.

In any solar adsorption refrigeration system, there are three major components: a solar collector adsorbent bed, a condenser and an evaporator. All of those components operate at different temperature levels. A solar collector with a tubular adsorbent configuration is proposed and numerically investigated. In this study, a nonlinear auto-regressive model with exogenous input is applied for the prediction of adsorbent bed temperature during the heating and desorption period. The developed neuronal model uses the MATLAB Network toolbox to obtain a better configuration network, applying multilayer feed-forward, the TANSIG transfer function, and the back-propagation learning algorithm. The input parameters are ambient temperature and the uncontrolled natural factor of solar radiation. The output network contains a variable representing the adsorbent bed temperature. The values obtained from the network model were compared with the experimental data, and the prediction performance of the network model was examined using various performance parameters. The mean square error (MSE) and the statistical coefficient of determination (R ²) values are excellent numerical criteria for evaluating the performance of a prediction tool. A well-trained neural network model produces small MSE and higher R ² values. In the current study, the adsorbent bed temperature results obtained from a neural network with a two neuron in hidden layer and the number of the tapped time-delays d = 9 provided a reasonable degree of accuracy: MSE = 1.0121 and R ² = 0.99864 and the index of agreement was 0.9988. This network model, based on a high-performance algorithm, provided reliable and high-precision results concerning the predictable temperature of the adsorbent bed.

Based on the evolutionary game approach, this paper analyzes how the automaker makes rational production decisions under the influence of the government and consumers. A tripartite evolutionary game model of “government-automaker-consumer” is established to explore the interactions under the condition of bounded rationality. The study shows that: 1) The increase of credit price and credit ratio will promote the diffusion of new energy vehicles (NEVs). 2) The cost premium of NEVs and the shrinking market will slow the spread of NEVs to some extent but will not prevent NEVs from becoming a trend in the automobile industry. However, the cost premium of fuel vehicles (FVs) will accelerate the development of the NEV industry. 3) Government subsidies can promote the development of NEV industry to some extent, but they are not always effective. The government can simultaneously implement subsidies for automakers and consumers in the early stages, and choose to implement the subsidy only for consumers in the medium term. Additionally, there is no need to implement the subsidy policy at a later stage.

As subsidy is a popular form of stimulating consumption, not only for home appliances market, the effectiveness of selling promotion subsidies need to be analyzed. In this paper, we check the role of promotion subsidies in the offline channel layout by establishing three models, i.e., no subsidy, customer rebate and retailer subsidy. Two kinds of online-to-offline strategies are considered, which are retailer’s opening separate and sharing offline stores. It is gotten that: both customer rebate and retailer subsidy increase the possibility of opening offline channels by sharing offline store strategy, but customer rebate takes high price than no subsidy while retailer subsidy is on the contrary. With the growing subsidy, both customer rebate and retailer subsidy could make offline channels opened by separate or sharing offline store strategy, but the customer rebate brings more possibilities. Both customer rebate and retailer subsidy require less social welfare to open offline channel, but the customer rebate brings more consumer surplus of opening offline channels than retailer subsidy for a given market area. Therefore, government should give the subsidy to customer, not to retailer, even if it brings the increasing of product’ price.