Vol. 1 No. 1 (2023)

Applied mathematics plays a crucial role in solving real-world problems by providing quantitative and analytical tools to address complex challenges across various fields. In the first issue of our journal, we aim to explore how applied mathematics contributes to problem-solving and the discovery of underlying principles in diverse areas, including aerospace engineering, music analysis, safety management, stress management, mathematical physics, mining, and finance. Through this exploration, we aim to provide our readers with novel insights into how the application of mathematics offers a systematic and rigorous approach to tackling practical issues and driving progress.

Full Issue

Open Access

Editorial

Article ID: 291

Launch of a new journal on applied mathematics: Editorial review on Vol. 1 No. 1
by Ahmed Zeeshan

Journal of AppliedMath, Vol.1, No.1, 2023; 62 Views, 55 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.291

N/A

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Open Access

Article

Article ID: 42

Novel learning for control of nonlinear spacecraft dynamics
by Bo-Ruei Huang, Timothy Sands

Journal of AppliedMath, Vol.1, No.1, 2023; 172 Views, 155 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.42

With accurate dynamic system parameters (embodied in self-awareness statements), a controller can provide precise signals for tracking desired state trajectories. If dynamic system parameters are initially guessed inaccurately, a learning method may be used to find the accurate parameters. In the deterministic artificial intelligence method, self-awareness statements are formed as mathematical expressions of the governing physics. When the nonlinear, coupled expressions are precisely parameterized as the product of known matrix components and unknown vectrix (i.e., an intermediate between a dyadic and a matrix in regression form) tracking errors may be projected onto the known matrix to update the unknown vectrix in an optimal form (in a two-norm sense). In this work, a modified learning method is proposed and proved to have global convergence of both state error and parameter estimation error. The modified learning method is compared with those in the prequels using simulation experiments of three-dimensional rigid body dynamic rotation motion. The achieved state error convergence using the modified approach is two magnitudes better than using the methods in the prequels.

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Open Access

Article

Article ID: 85

Statistical analysis of a Tagore song based on Raga Kafi
by Soubhik Chakraborty, Prerna Singh

Journal of AppliedMath, Vol.1, No.1, 2023; 124 Views, 74 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.85

Rabindra Sangeet or Tagore songs encompass a wide variety of human emotions. Most of these songs are based on Hindustani ragas. Kafi is a joyful raga and therefore could be helpful to combat stress. We are motivated to analyse a popular Tagore song, namely, Momo Chitte , which is based on this raga. Statistical analysis compares two phases of 30 s each of a vocal recording of this song. Several statistical features are considered including note duration, inter onset interval, rate of change of pitch, statistical parameterization of melody and rhythm in addition to analysis of spectrogram and pitch profile. The experimental results are encouraging.

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Open Access

Article

Article ID: 68

Towards a solution to the problem of safety management of structurally complex systems
by Alexander V. Bochkov

Journal of AppliedMath, Vol.1, No.1, 2023; 370 Views, 49 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.68

The non-isolation of modern, structurally complex, multi-purpose systems implies not only their interaction with the external environment, but also the impact of this environment on the systems themselves. The ability to predict and assess the consequences of these impacts, which are characterised by great uncertainty about the time, place and method of implementation, as well as the choice of a particular object of influence, is a task of extreme urgency in today’s globalised world. If the stability of functioning of any structurally complex system is understood as the achievement by it of the purpose of its functioning with acceptable deviations on the volumes and times of implementation of private tasks, the safety management in this system is reduced, in fact, to minimisation of unplanned losses at the occurrence of abnormal situations of various kinds and to carrying out of measures for their prevention. The success of such tactics depends largely on the effectiveness of the risk management system, on the ability of decision-makers to foresee the possibility of poorly formalised threats turning into significant risks, i.e., on having methods and tools for ranking threats and significant risk factors. Inevitably, there is the task of setting protection priorities, ranking objectives (usually of different types), problems and threats, and reallocating available (usually limited) resources. The article considers the issues involved in building an integral security model that takes into account the risks to the assets being protected.

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Open Access

Article

Article ID: 143

Impact of Hindustani ragas in stress management: A statistical study
by Soubhik Chakraborty, Avinav Prasad, Apoorva Chakraborty, Prerna Singh

Journal of AppliedMath, Vol.1, No.1, 2023; 156 Views, 70 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.143

This work is a part of our ongoing research project entitled Hindustani Raga Analysis Using Statistical Musicology with Therapeutic Applications for Stress Management . Using the perceived stress scale (PSS), baseline data were collected on 28 participants, 14 for the control group (non-music intervention group) and the remaining 14 for the case group (music intervention group), the allotment of a participant to one of the groups being done using randomized control trial (RCT) to prevent bias in allocation. After 5 music therapy sessions, the follow-up data were collected and the scores (0, 1, 2, 3, 4) were filled for the 10 questions in the questionnaire of the PSS scale. The rating is 0–13 implying low stress, 14–26 implying moderate stress and 27–40 implying high stress. As per the PSS rule, those having stress levels below 13 were dropped from the study. Thus, the actual number of participants in both groups would be less than those interviewed (sample size n = 7 for each group). Using paired t test, it is found that the case group participants have shown considerable improvement in comparison to the control group. Thus, the efficacy of music intervention in combatting stress is established.

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Open Access

Article

Article ID: 95

Conservation laws, exact solutions and nonlinear dispersion: A lie symmetry approach
by Adnan Shamaoon, Zartab Ali, Qaisar Maqbool

Journal of AppliedMath, Vol.1, No.1, 2023; 175 Views, 88 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.95

In this study, we investigated a set of equations that exhibit compact solutions and nonlinear dispersion. We used the classical lie symmetry approach to derive ordinary differential equations (ODEs) that are well suited for qualitative study. By examining the dynamic behavior of these ODEs, we gained insights into the intricate nature of the underlying system. We also used a powerful multiplier approach to establish nontrivial conservation laws and exact solutions for these equations. These conservation laws provide essential information regarding the underlying symmetries and invariants of the system, and shed light on its fundamental properties.

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Open Access

Perspective

Article ID: 74

Machine learning in coal and gas outburst prediction
by Peng Ji, Shiliang Shi

Journal of AppliedMath, Vol.1, No.1, 2023; 136 Views, 71 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.74

Artificial intelligence is flourishing, and its research achievements are being extensively applied across various industries. In the field of predicting coal and gas outbursts, methods such as machine learning and deep learning have been widely explored, resulting in accurate prediction accuracy and excellent predictive effects. This has significantly improved the safety of coal mine underground operations.

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Open Access

Perspective

Article ID: 125

Sustainable information into portfolio optimization models
by Gabriele Sbaiz

Journal of AppliedMath, Vol.1, No.1, 2023; 213 Views, 132 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i1.125

In the last fifteen years, extreme events such as the global financial and economic crisis of 2007–2008 and the Covid-19 pandemic have highlighted the importance of corporate social responsibility and sustainability in different aspects of our society. The environmental, social, and governance (ESG) disclosures have also gained increasing significance for investors due to initiatives undertaken by international bodies. In particular, with the Action Plan in 2018, the European Commission has assigned specific responsibilities to financial intermediaries to drive flows toward sustainable investments, explicitly requiring portfolio managers to integrate these non-financial factors into their decision-making processes. More and more, asset management firms and insurance companies offer tailored products to meet their customers’ sustainable needs and desires. This trend implies a growing recognition of sustainable practices in the financial sector, emphasized by the need to integrate ESG considerations in investment strategies.

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Editor-in-Chief

Assoc. Prof. Ahmad Zeeshan

International Islamic University, Pakistan

eISSN

2972-4805

Publication Frequency

Bi-monthly

About the Publisher

Academic Publishing insists on taking academic exchange and publication as the main line, carrying out comprehensive management based on science and technology, and fully exploring excellent international publishing resources. Within 5 years, it will form a strategic framework and scale with science (S), technology (T), medicine (M), education (E), and humanities and arts (H) as the main publishing fields. Academic Publishing is headquartered in Singapore and based in Malaysia, with the United States and China providing the main scientific and academic resources. At the same time, it has established long-term good cooperative relations with other publishing companies, scientific research communities, and academic organizations in more than a dozen countries and regions. Academic Publishing uses English and Chinese as its main publishing languages, mainly publishing books, journals, and conference papers in print and online. The vast majority of publications follow the international open access policy, providing stable and long-term quality and professional publications. With the joint efforts of the expert team and our professional editorial team, our publications will gradually be indexed by international databases in stages to provide convenient and professional retrieval for various scholars. At the same time, manuscripts we accept will be subject to the peer review principle, and cutting-edge and innovative research articles will be preferentially accepted for peer reference and discussion. All kinds of our publications are welcome for peer to contribute, access, and download.

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Volume Arrangement

2024

2023

Featured Articles

H∞ hybrid control and MRD in a steel frame building subjected to excessivevibrations caused by the dynamic action of wind and earthquake

The dynamic loads from earthquakes and winds can destroy lives, cause collapse in civil structures, and interrupt basic services provided to the population. In this scenario, structural designs must be developed to decrease the damage induced by these actions. The objective of this work is to design a hybrid controller based on the H∞ optimization via state feedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations of a three-story steel frame building, represented through the shear building model, subjected to the simultaneous dynamic action of wind and earthquake. All research is based on computational simulation, experimental research and results will not be addressed. In the numerical analysis, digital computer and MATLAB® software are used, and implemented codes generate the expected results based on the mathematical modeling. With the application of the H∞ control technique via state feedback, the displacements were reduced by 77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was 100%. Thus, the verifications in relation to maximum displacements were met for NBR 15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that the hybrid controller proved to be more efficient and achieved the proposed objective. The exogenous inputs had zero influence on the behavior of the system output.

Topological analysis of multiple tables

The paper proposes a topological approach in order to explore several data tables simultaneously. These data tables of quantitative and/or qualitative variables measured on different homogeneous themes, collected from the same individuals. This approach, called topological analysis of multiple tables (TAMT), is based on the notion of neighborhood graphs in the context of a joint analysis of several data tables. It allows the simultaneous study of possible links between several thematic tables. The structure of the correlations or associations of the variables in each thematic table is analyzed according to quantitative, qualitative or mixed variables considered. Like the multiple factorial analysis (MFA), the TAMT allows several tables of variables to be analyzed simultaneously, and to obtain results, in particular graphical representations, which make it possible to study the relationship between individuals, variables and tables of data. These can also be tables of temporal data, collected at different times on the same individuals. The proposed TAMT approach is illustrated using real data associated with several and different homogeneous themes. Its results are compared to those from the MFA method.

Development of a stacked hybrid Decision Tree model leveraging the NSL-KDD dataset

Intrusion detection in information technology as well as operational technology networks is highly required in modern day systems due to the increased spate of cyber-attacks in both number and complexity. Anomaly-based intrusion detection systems which have the capacity to detect novel or zero-day attacks are highly employed in this regard. One important component of anomaly-based intrusion detection systems which ensures their behaviour is artificial intelligence in general and machine learning in particular. The burden in modern day cybersecurity research is to investigate and develop models that can outperform existing ones. This paper is aimed at developing a hybrid decision tree model using the stacking ensemble approach. Performances were measured on the basis of recall, precision, accuracy, F1-score, receiver operating characteristics and confusion matrices. The hybrid model presented a precision of 97%, accuracy of 81%, F1-score of 80% and AUC score of 0.96, respectively.

The synergistic effect of the multiple parameters of vibro-impact nonlinear energy sink

This article studies the dynamics and efficiency of a vibro-impact damper (single-sided vibro-impact nonlinear energy sink—SSVI NES) depending on the exciting force parameters. The damper is coupled with a linear oscillator—the primary structure. It is shown that the damper is quite effective in a wide range of the exciting force amplitude and in the range of its frequency, which are higher than the resonant frequency; damper efficiency in these regions is fairly stable. The dynamics of the vibro-impact system “primary structure—SSVI NES” is rich and complex, which, however, does not impair the damper efficiency. In complex oscillatory regimes, the damper makes bilateral impacts: it hits both an obstacle and directly against the primary structure, which actually turns a single-sided NES into a double‐sided one. The optimization procedure and the choice of optimal damper parameters play a very important role in damper design. Optimizing multiple damper parameters instead of three shows a synergistic effect and provides better results.

Optimization imposition upon drone gimbal control electronics

The goal of the manuscript is to design a relatively good control structure for the noise suppression of a drone’s camera gimbal action. The gimbal’s movement can be simplified as a rest-to-rest reorientation system that can achieve the boundary result of a dynamic system. Six different control architectures are proposed and evaluated based on their ability to control the trajectory of the dynamic-system position and speed, their running time, and their quadratic cost. The robustness of the control architecture to uncertainties in inertia and sensor noise is also analyzed. Monte Carlo figures are used to assess the performance of the six control systems. The conditions for applying different architectures are identified through this analysis. The analysis and experimental tests reveal the most suitable control of the drone’s camera gimbal rotation.