Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 36, 28 May 2024
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Applications of dynamical systems in physics
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Abstract
Dynamical systems are crucial for defining our comprehension of the physical world, offering a robust structure for examining and representing intricate occurrences. The exploration of dynamical systems in physics traces back to the initial developments of classical mechanics by Newton and Lagrange. Over time, this framework has developed and grown to encompass a broad array of physical phenomena, ranging from the movement of astronomical objects to the actions of subatomic particles. The close relationship between dynamical systems and physical principles has inspired the study and improvement of this mathematical field. This paper delves into the diverse applications of dynamical systems in physics, emphasizing the research background, methodology, main discoveries, and wider ramifications. This study tries to offer a thorough summary of the diverse impacts of dynamical systems on the area of physics by combining several research papers. By utilizing dynamical systems, researchers have gained a deeper understanding of the fundamental order that governs complex dynamics, paving the way for improved predictions, innovative technologies, and a deeper understanding of the underlying principles that govern the universe.
Keywords
Dynamical Systems, Physics, Kinematic Description, Chaos Theory
References
1. Feynman, R. P. (1988). The Beauty of Patterns in Nature. Publishers Weekly.
2. Newton, I. (1687). Philosophiæ Naturalis Principia Mathematica. University of California Press.
3. Hairer, E., Lubich, C., & Wanner, G. (2006). Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. Springer Berlin, Heidelberg.
4. Strogatz, S. H. (1994). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. CRC Press.
5. Holmes, P. (2019). Introduction to Perturbation Methods. Springer.
6. Gleick, J. (1987). Chaos: Making a New Science. Random House Audio
7. Ott, E., Grebogi, C., & Yorke, J. A. (1990). Controlling chaos. Advancing Physics.
8. Jack J. Lissauer & Carl D. Murray. (2014). Solar System Dynamics: Regular and Chaotic Motion. ScienceDirect.
9. Wisdom, J. (1985). The Chaotic Motion of the Solar System: A Numerical Estimate of the Size of the Chaotic Zones. ScienceDirect.
10. Taylor, J. R. (2005). Classical Mechanics. University Science Books.
11. Kibble, T., & Berkshire, F. (2004). Classical Mechanics. Imperial College Press.
12. Strogatz, S. H. (2014). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Westview Press.
13. Lorenz, E. N. (1963). Deterministic Nonperiodic Flow. Journal of the Atmospheric Sciences, 20(2), 130–141.
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 2nd International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-441-5
- ISBN (Online)
- 978-1-83558-442-2
- Published Date
- 28 May 2024
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/36/20240520
- Copyright
- 28 May 2024
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited