𝔖 Bobbio Scriptorium
✦   LIBER   ✦

From nonlinear oscillations to equation of state in simple discrete systems

✍ Scribed by A.M. Krivtsov

Book ID
104363203
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
117 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

Nonlinear oscillations of a single particle in the potential well and for one-dimensional chain of interacting particles are considered. The law of interaction is of Lennard-Jones type, mimicking interaction in atomic systems. Similarities in average behaviour of the systems with one and many degrees of freedom are shown. Time averaging for the random oscillations is used to obtain thermodynamic characteristics such as pressure, specific volume, and thermal energy. Second order equation of state is obtained, which is valid in the conditions of strong extension, where fails the widely used Mie-Gr€ u uneisen equation of state.

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## Abstract The robust feedback stabilization of a class of nonlinear discrete‐time systems with unknown constant state‐delay and uncertain function of nonlinear perturbations is considered based on linear matrix inequality (LMI)‐based analysis and design procedures. In both cases of nominal and re