Abstract
It is well known fact that Newton’s equation of deterministic motion correctly describes the motion of a particle or a system of particles in an inertial frame. In Newtonian set up there is no chance for unpredictable nature of motion. On the other hand, sometimes the particle may be restricted in its motion so that it is forced to follow a specified path or some forces may act on the particles to keep them on the surface.
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References
Sommerfeld, A.: Mechanics. Academic Press, New York (1952)
Goldstein, H.: Classical Mechanics. Narosa Publishing Home, New Delhi (1980)
Arnold, V.I.: Mathematical Methods of Classical Mechanics. Springer, New York (1984)
Takawale, R.G., Puranik, P. S.: Introduction to Classical Mechanics, Tata Mc-Graw Hill, New Delhi
Marion, Thomtron: Classical Dynamics of Particles and Systems, Third edn. Horoloma Book Jovanovich College Publisher
Taylor, J.R.: Classical mechanics. University Science Books, USA (2005)
Synge, J.L., Graffith, B.A.: Principles of Mechanics. McGraw-Hill, New York (1960)
Shapiro, J.A.: Classical Mechanics (2003)
Bhatia, V.B.: Classical Mechanics: With Introduction to Nonlinear Oscillations and Chaos. Narosa Publishing House, New Delhi (1997)
Landau, L.D., Lifshitz, E.M.: Mechanics (Course of Theoretical Physics, vol. 1)
Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd edn. Springer, Berlin (2003)
Arrowsmith, D.K., Place, L.M.: Dynamical Systems: Differential equations, maps and Chaotic behavior. Chapman and Hall/CRC, London (1992)
Hilborn, R.C.: Chaos and Nonlinear Dynamics: An introduction for Scientists and Engineers. Oxford University Press, Oxford (2000)
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Layek, G.c. (2015). Hamiltonian Systems. In: An Introduction to Dynamical Systems and Chaos. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2556-0_7
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DOI: https://doi.org/10.1007/978-81-322-2556-0_7
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