Abstract
This chapter describes a possible physical basis for NSTT in case of essentially non-periodic processes. The physical time is structurised to match the one-dimensional dynamics of rigid-body chain of identical particles. Namely, the continuos ‘global’ time is associated with the propagation of linear momentum, whereas a sequence of non-smooth ‘local’ times describe behavious of individual physical particles. Such an idea helps to incorporate temporal symmetries of the dynamics into differential equations of motion in many other cases of regular or irregular sequences of internal impacts or external pulses. Since the local times are bounded, a much wider set of analytical tools becomes possible, wereas matching conditions are generated automatically by the corresponding time substitution.
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© 2010 Springer-Verlag Berlin Heidelberg
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Pilipchuk, V.N. (2010). Essentially Non-periodic Processes. In: Nonlinear Dynamics. Lecture Notes in Applied and Computational Mechanics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12799-1_13
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DOI: https://doi.org/10.1007/978-3-642-12799-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12798-4
Online ISBN: 978-3-642-12799-1
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