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Applied Physics and Mathematics Annotation << Back
NONSMOOTH MAPPINGS. STATIONARY MODELS OF NONSMOOTH DYNAMICS |
A.V. KUKUSHKIN
Nonsmooth mapping is done with an 2-sheeted analytic function, the argument of which is an exponential function defined in 2 sheets of its Riemann surface. The derivative of an algebraic function is being shown to have poles in branch points, where the value of the function itself is finite; thus, the mapping is shown to be nonsmooth. Such systems are being shown to be able to mirror image essential properties of physical phenomena from dynamics.
Key words: nonsmooth mappings, problems of nonsmooth dynamics, coordinate axes with points of nonsmoothness, material point trajectory with smoothness broken in singular points.
Contacts: E-mail: avkuku @gmail.com
Pp. 20-23. |
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