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E-book: Mathematical Methods in Dynamical Systems

Edited by (National Institute of Technology Rourkela, India), Edited by
  • Format: 392 pages
  • Pub. Date: 19-May-2023
  • Publisher: CRC Press
  • Language: eng
  • ISBN-13: 9781000833775
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  • Format: 392 pages
  • Pub. Date: 19-May-2023
  • Publisher: CRC Press
  • Language: eng
  • ISBN-13: 9781000833775
Other books in subject:

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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.



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.

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
EmdenFowler Type Equations of the Third-Order.
S. Chakraverty, Subrat Kumar Jena