Mathematical Methods in Dynamical Systems
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The art of applying mathematics to real world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc., can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem solving techniques and includes different analytical, semi-analytical, numerical and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems, and includes coverage of various industrial applications in a simple yet comprehensive way.
Table of Contents
1. Dynamical Problems for Generally Anisotropic Shells With the GDQ Method. 2. Dynamical Problems of Functionally Graded Non-Uniform Nanoplates under Thermal Field. 3. Effect of External Resistances on Energy Harvesting Behaviour of Porous Functionally Graded Magneto-Electro-Elastic Beam. 4. Mass Resonator Sensor and Its Inverse Problems. 5. Axial Wave Propagation of Carbon Nanorod Conveying Fluid with Elastic Support using Nonlocal Continuum Elasticity. 6. Differential Transformation and Adomian Decomposition Methods for the Radiation Effect on Marangoni Boundary Layer Flow of Carbon Nanotubes. 7. Min-Max Game Theory for Coupled Partial Differential Equation Systems in Fluid Structure. 8. Numerical Simulation for Time Fractional Integro Partial Differential Equations Arising in Viscoelastic Dynamical System. 9. From Continuous Time Random Walk Models to Human Decision-Making Modeling: A Fractional Perspective. 10. Dynamics of Slender Single-Link Flexible Robotic Manipulator Based on Timoshenko Beam Theory. 11. Non-Probabilistic Solution of Imprecisely Defined Structural Problem with Beams and Trusses using Interval Finite Element Methods. 12. Linear Eigenvalue Problems in Dynamic Structure With Uncertainty: An Expectation Based Approach. 13. Dynamical Approach to Forecast Decentralized Currency Exchange Value with Respect to Indian National Rupees. 14. Curriculum Learning-Based Approach to Design an Unsupervised Neural Model for Solving Emden–Fowler Type Equations of the Third-Order.
Prof. S. Chakraverty has 30 years of experience as a researcher and teacher. Presently he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha as a Senior (Higher Administrative Grade) Professor. Prior to this, he was with CSIR-Central Building Research Institute, Roorkee, India. After completing Graduation from St. Columba’s College (Ranchi University), his career started from the University of Roorkee (Now, Indian Institute of Technology Roorkee) and did M. Sc. (Mathematics) & M. Phil. (Computer Applications) from there securing the First positions in the university. Dr. Chakraverty received his Ph. D. from IIT Roorkee in 1993. Thereafter he did his post-doctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K. and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, during 1997-1999 and visiting professor of University of Johannesburg, South Africa during 2011-2014. He has authored/co-authored/Edited 29 books, published 398 research papers (till date) in journals and conferences and two books are ongoing. He is in the Editorial Boards of various International Journals, Book Series and Conferences. Prof. Chakraverty is the Chief Editor of "International Journal of Fuzzy Computation and Modelling" (IJFCM), Inderscience Publisher, Switzerland (http://www.inderscience.com/ijfcm), Associate Editor of "Computational Methods in Structural Engineering, Frontiers in Built Environment" and "Curved and Layered Structures (De Gruyter)" and happens to be the Editorial Board member of "Springer Nature Applied Sciences", "IGI Research Insights Books", "Springer Book Series of Modeling and Optimization in Science and Technologies", "Coupled Systems Mechanics (Techno Press)", "Journal of Composites Science (MDPI)", "Engineering Research Express (IOP)" and "Applications and Applied Mathematics: An International Journal". He is also the reviewer of around 50 national and international Journals of repute and he was the President of the Section of Mathematical Sciences (including Statistics) of "Indian Science Congress" (2015-2016) and was the Vice President – "Orissa Mathematical Society" (2011-2013). Prof. Chakraverty is a recipient of prestigious awards viz. Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow. (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director’s (CBRI) Award (2001), INSA International Bilateral Exchange Award ([2010-11 (selected but could not undertake), 2015 (selected)], Roorkee University Gold Medals (1987, 1988) for first positions in M. Sc. and M. Phil. (Comp. Appl.) etc.
He is in the list of 2% world scientists recently (2020, 2021) in Artificial Intelligence & Image Processing category based on an independent study done by Stanford University scientists.
IOP Publishing?Top Cited Paper Award for one of the most cited articles from India, published across the entire IOP Publishing journal portfolio within the past three years (2018 to 2020). It also features in the top 1% of most cited papers in the Materials subject category. This data is from the citations recorded in Web of Science.
He has already guided nineteen (19) Ph. D. students and twelve are ongoing. Prof. Chakraverty has undertaken around 16 research projects as Principle Investigator funded by international and national agencies totaling about Rs.1.5 crores. He has hoisted around 8 international students with different international/national fellowships to work in his group as PDF, PhD, visiting researchers for different periods. A good number of international and national Conferences, Workshops, and Training programs have also been organised by him. His present research area includes Differential Equations (Ordinary, Partial and Fractional), Numerical Analysis and Computational Methods, Structural Dynamics (FGM, Nano) and Fluid Dynamics, Mathematical and Uncertainty Modeling, Soft Computing and Machine Intelligence (Artificial Neural Network, Fuzzy, Interval and Affine Computations).
Mr. Subrat Kumar Jena is currently working as a Senior Research Fellow at the Department of Mathematics, National Institute of Technology Rourkela. He graduated as an M.Sc. in Mathematics and Scientific Computing from Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India. He does research in Structural Dynamics, Applied Mathematics, Mathematical Modelling, and Uncertainty Modelling. Till now, he has published 30 research papers in peer reviewed international journal, 2 international conference papers, 8 book chapters, and 1 book (2 books are in press, 2 books are ongoing).
He has been awarded an IOP Publishing Top Cited Paper Award 2021 from India, published across the entire IOP Publishing journal portfolio within the past three years (2018 to 2020), and the paper was among the top 1% of most cited papers in the Materials subject category.
He was also featured in Stanford University’s Top 2% Most Influential Scientists List for the Year 2020.
Additionally, he has been listed in Shell Buckling website as "Shell Buckling People" for his substantial contributions to the fields of shell buckling mainly in the area of static or dynamic analysis of general structures. He also serves as a reviewer for many prestigious international journals and has reviewed over 60 manuscripts so far. Further, he is continuing collaborative research works with renowned researchers from India, Italy, Estonia, Turkey, Iran, Poland, Canada, etc.