Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System by Qingsong Liu, Yiping Lin, Jingnan Cao, Jinde Cao

“…Finally, numerical simulations are performed to support the analytical results and the chaotic behaviors are observed.…”
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Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. by Byamukama, Justus

“…The results obtained are in good agreement v, i th the exact solution as indicated by a small percentage error.…”
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Analysis of a stochastic fear effect predator-prey system with Crowley-Martin functional response and the Ornstein-Uhlenbeck process by Jingwen Cui, Hao Liu, Xiaohui Ai

“…Finally, numerical simulations were performed to demonstrate the analytical results.…”
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Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators by D. L. Suthar, Fasil Gidaf, Mitku Andualem

“…In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. …”
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Time Frequency Features of Rotor Systems with Slowly Varying Mass by Tao Yu, Qingkai Han

“…For the first order approximate solution is used, there exists difference between the results with analytic method and numerical method. …”
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Transmission Error Analysis and Design of Double Rollers Planetary Gear Drive with Small Tooth Number Difference by Liu Jingya, Wang Shusheng

“…According to its characteristic of discontinuous transmission,the transmission error is calculated and analyzed based on the error calculation formula. The research results reveal that this drive completely meets the error requirement of the power transmission and also has the possibility to be used in precision transmission with the optimal design.…”
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Persepsi Guru Terhadap Proses Pengawasan oleh Kepala Sekolah di SMK Negeri Se-Kota Solok by Fitri Andriani, Nellitawati Nellitawati, Elizar Ramli

“…Data analyzed using the average (mean) formula. The results of this research show teacher perception about controlling of headmaster on vocation senior high school (SMKN) in Solok city  stay in  good category with an average score 3,61 become 72,21 percent.…”
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Position Analysis and Research of Reachable Workspace of 3-CRS/SP Parallel Mechanism by Wang Ziqian, Zhao Yaohong, Li Ruiqin, Zhao Jianwen, Chen Xiaoming

“…The degree of freedom of the 3-CRS/SP parallel mechanism is analyzed by using the screw theory,the distribution of degree of freedom of the mechanism is determined,the result is verified by the modified G-K formula. And the inverse position solution of the parallel mechanism is got through the method of analytic geometry,the length between the three vertexes of the moving platform is regarded as the restrict condition to construct the constrained equations,the positive solution of all positions under the closed solution of the mechanism is studied. …”
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Rigorous Solution to Plane Wave Scattering by an Arbitrary-Shaped Particle Embedded into a Cylindrical Cell of Similar Material by Constantine A. Valagiannopoulos

“…The solution is based on a linear Taylor expansion of the scattering integral formula which can be useful in a variety of different configurations. …”
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Design Analysis and Optimization of 6-DOF Coupling Parallel Mechanism based on Spiral Theory by Zenglin Ye, Hua Chen, Sa Sun

“…The experimental results show that the mechanism configuration is reasonable and practical.…”
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Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures by Li-xin Yang, Wan-sheng He

“…The numerical simulations are performed to verify the effectiveness of the theoretical results.…”
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GRAPHICS ANALYTICAL MODEL OF MONITORING OF THE FINANCE AT IMPLEMENTATION OF INVESTMENT AND CONSTRUCTION PROJECTS by V. Serov, N. Moiseenko

“…In the article the offered formula is stated, and also the schedule, reflecting presence of the finance at the investor in the course of realization of investment and construction projects for any moment of time horizon of calculation (their life cycle) is resulted. …”
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An EPQ Model with Unit Production Cost and Set-Up Cost as Functions of Production Rate by Behrouz Afshar-Nadjafi

“…Finally, utility of the model is presented using some numerical examples and the results are analyzed.…”
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Analysis Method and Application of the Degree of Freedom and Mobility of a Kind of Complex Planar Mechanism by Zhang Yan, Sun Qipeng, Deng Aoran, Qiu Lu, Li Gangyan

“…Finally,taking a radar vehicle-borne array lifting mechanism as research object,the results show that the analysis method of the degree of freedom and mobility is suitable for complex planar mechanisms which contain redundant constraint.…”
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Laplace Transform Methods for a Free Boundary Problem of Time-Fractional Partial Differential Equation System by Zhiqiang Zhou, Xuemei Gao

“…Firstly, applying Laplace transform to the governing FPDEs with respect to the time variable results in second-order ordinary differential equations (ODEs) with two free boundaries. …”
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Rozwiązywanie zadań tekstowych przez studentów – przyszłych nauczycieli edukacji wczesnoszkolnej by Beata Bugajska-Jaszczołt, Monika Czajkowska

“… The results of the research aimed at diagnosing the ability to solve textual tasks by the students – candidates for lower primary teachers are presented in the article. …”
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Steady-state mixing state of black carbon aerosols from a particle-resolved model by Z. Zhang, Z. Zhang, J. Wang, J. Wang, J. Wang, J. Wang, N. Riemer, C. Liu, C. Liu, Y. Jin, Y. Jin, Z. Tian, Z. Tian, J. Cai, J. Cai, Y. Cheng, Y. Cheng, G. Chen, G. Chen, B. Wang, B. Wang, S. Wang, A. Ding, A. Ding

“…Utilizing the slope parameter <span class="inline-formula"><i>k</i></span>, which effectively characterizes the CT distribution under the steady-state simplifying assumption, the BC absorption enhancement closely corresponds to the results obtained via the particle-resolved method. …”
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Analysis of statistical resolution limit based on Rao test by Minhong SUN, Yanfang LIU, Hua ZHONG, Jianrong BAO

“…Since the approach of analyzing statistical resolution limit (SRL) based on generalized likelihood ratio test (GLRT) has the problems of high computational complexity and isn’t easy to get the analytical formula of the detection statistics,a method for the analysis of the SRL based on Rao test was proposed.The unidimensional SRL of azimuth under the cases of known and unknown noise variance,two-dimensional SRL of azimuth and elevation under the case of known noise variance were analyzed.The Rao test detection statistic and the minimum SNR required for the corresponding SRL were derived,the detection performance and the computational complexity of the Rao test were analyzed and compared with the GLRT method.Simulation results verify the validity of the Rao test.…”
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Option Pricing under the Subordinated Market Models by Longjin Lv, Changjuan Zheng, Luna Wang

“…Finally, an empirical analysis is performed to show the validity of these results.…”
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Meshing Performance Analysis of the Cosine Roller Enveloping Hourglass Worm Drive by Xing Xincheng, Wen Yujie, Liu Zaixin, Sun Pengze

“…The results show that the cosine roller enveloping hourglass worm drive has better lubrication performance than the tapered roller worm pair.…”
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