Impulsive motion on synchronized spatial temporal grids

Umberto Mosco

doi:10.3934/dcds.2017261

Article Contents

2017, Volume 37, Issue 12: 6069-6098. Doi: 10.3934/dcds.2017261

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Impulsive motion on synchronized spatial temporal grids

Umberto Mosco^1,2,

1.
Worcester Polytechnic Institute, 100 Worcester Road, Worcester, MA 01609, USA
2.
Accademia Nazionale Delle Scienze Detta Dei XL, Via L.Spallanzani 7, 00161 Roma, Italy

Received: August 2016

Revised: July 2017

Published: October 2017

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Abstract

We introduce a family of kinetic vector fields on countable space-time grids and study related impulsive second order initial value Cauchy problems. We then construct special examples for which orbits and attractors display unusual analytic and geometric properties.

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Mathematics Subject Classification: 34A37, 37C35, 28A80, 34D45, 37B55, 65L05.

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Figure 1. $\Gamma^{\beta, n}$ for different $\beta$

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Figure 2. Ring-like $\Gamma^{\beta, n}$

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