{"id":24,"date":"2020-11-19T12:10:53","date_gmt":"2020-11-19T12:10:53","guid":{"rendered":"https:\/\/chronoloom.com\/?page_id=24"},"modified":"2021-01-27T22:59:23","modified_gmt":"2021-01-27T22:59:23","slug":"home","status":"publish","type":"page","link":"https:\/\/chronoloom.com\/","title":{"rendered":"Mutual Synchronization"},"content":{"rendered":"\n<p class=\"has-medium-font-size\"><strong>What we do<\/strong><\/p>\n\n\n\n<p>Combining the expertise from electrical engineering and theoretical physics  we validate the technical applicability of  a synchronization approach that relies on a mutual coupling between network nodes rather than directed entrainment.    <\/p>\n\n\n\n<p>Electrical engineers and theoretical physicists from the <a rel=\"noreferrer noopener\" href=\"https:\/\/tu-dresden.de\/?set_language=en\" target=\"_blank\">Dresden University of Technology<\/a>, the <a rel=\"noreferrer noopener\" href=\"https:\/\/www.dresden.fraunhofer.de\/en\/institutes\/fraunhofer_izm-assid.html\" target=\"_blank\">Fraunhofer Institute for Reliability and Microintegration IZM Assid<\/a> and the <a rel=\"noreferrer noopener\" href=\"https:\/\/www.pks.mpg.de\/\" target=\"_blank\">Max-Planck-Institute for the Physics of Complex Systems<\/a> work in close collaboration to develop the mathematical models, simulation tools, design protocols and circuit architectures to implement mutual synchronization in the presence of considerable time-delays and operating at very high frequencies.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>What we set out to achieve<\/strong><\/p>\n\n\n\n<p>It is our goal to demonstrate within a <a rel=\"noreferrer noopener\" href=\"https:\/\/www.bmbf.de\/en\/index.html\" target=\"_blank\">BMBF<\/a> funded <a rel=\"noreferrer noopener\" href=\"https:\/\/www.bmbf.de\/de\/vip-technologische-und-gesellschaftliche-innovationspotenziale-erschliessen-563.html\" target=\"_blank\">validation program<\/a> that mutual synchronization can be used to robustly synchronize large networks of spatially distributed electronic oscillators. Even at frequencies in the regime of many Gigahertz, the clocking nodes can be several hundreds of meters apart from their neighbors and support, e.g., <a href=\"https:\/\/www.nowpublishers.com\/article\/Details\/SIG-096\" target=\"_blank\" rel=\"noreferrer noopener\">precise localization<\/a>, <a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-658-19059-0_20\" target=\"_blank\" rel=\"noreferrer noopener\">collective motion of autonomous traffic<\/a>, <a href=\"https:\/\/www.springeropen.com\/collections\/swc\" target=\"_blank\" rel=\"noreferrer noopener\">mobile communication services<\/a> and the operations in <a rel=\"noreferrer noopener\" href=\"https:\/\/cloud.google.com\/spanner\/docs\/true-time-external-consistency\" target=\"_blank\">data-centers<\/a>.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>What we build on<\/strong><\/p>\n\n\n\n<p>Early work on mutual synchronization dates back to as late as the 1950&#8217;s, pursued by <a rel=\"noreferrer noopener\" href=\"https:\/\/www.google.com\/url?sa=t&amp;rct=j&amp;q=&amp;esrc=s&amp;source=web&amp;cd=&amp;cad=rja&amp;uact=8&amp;ved=2ahUKEwjn2Z7b57ztAhVQ_KQKHam1Cy8QFjAAegQIAxAC&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FV%25C3%25A1clav_E._Bene%25C5%25A1&amp;usg=AOvVaw1g0UB3u3QSg7xBa77-859K\" target=\"_blank\">V. E. Benes<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/ieeexplore.ieee.org\/author\/37322146900\" target=\"_blank\">H. Inose<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/ieeexplore.ieee.org\/document\/4206201\" target=\"_blank\">H. Fujisaki<\/a> and <a rel=\"noreferrer noopener\" href=\"https:\/\/ieeexplore.ieee.org\/document\/6769440\" target=\"_blank\">M. B. Brilliant<\/a>. In the following decades a large number of scientific papers have been published, many of those within the R&amp;D activities at the <a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/Bell_Labs#1950s\" target=\"_blank\">Bell Telephone Labs<\/a>, see e.g., <a rel=\"noreferrer noopener\" href=\"https:\/\/onlinelibrary.wiley.com\/doi\/abs\/10.1002\/j.1538-7305.1968.tb00040.x\" target=\"_blank\">M. Karnaugh<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/onlinelibrary.wiley.com\/doi\/abs\/10.1002\/j.1538-7305.1971.tb02615.x\" target=\"_blank\">J. P. Moreland<\/a>, <a rel=\"noreferrer noopener\" href=\"https:\/\/ieeexplore.ieee.org\/document\/6769438\" target=\"_blank\">A. Gersho<\/a> and <a rel=\"noreferrer noopener\" href=\"https:\/\/onlinelibrary.wiley.com\/doi\/abs\/10.1002\/j.1538-7305.1966.tb02431.x\" target=\"_blank\">B. J. Karafin<\/a>. It should be noted however, that already in <a rel=\"noreferrer noopener\" href=\"https:\/\/physicsworld.com\/a\/the-secret-of-the-synchronized-pendulums\/\" target=\"_blank\">1665<\/a> <a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/Christiaan_Huygens\" target=\"_blank\">C. Huygens<\/a> observed, qualitatively described and understood the mutual synchronization of coupled clocks. In a letter to the Dutch Royal Society it is referred to as <a rel=\"noreferrer noopener\" href=\"https:\/\/en.wikipedia.org\/wiki\/Christiaan_Huygens#cite_note-109\" target=\"_blank\">&#8220;an odd kind of <em>sympathy<\/em>&#8220;<\/a>.<br>In a 1985 review paper <a rel=\"noreferrer noopener\" href=\"https:\/\/ieeexplore.ieee.org\/document\/1457585\" target=\"_blank\">Lindsey et al.<\/a> compare the plesiosynchronous, hierarchical and mutual synchronization concepts and discuss their advantages and disadvantages. Opposite to what has been found for hierarchical synchronization, i.e., entrainment of oscillators, their work concludes that for mutual synchronization the phase-noise properties scale favorably with growing system size. Based on our current knowledge, mutual synchronization has not yet been applied to large scale applications. Please refer to our <a href=\"https:\/\/chronoloom.com\/?page_id=29\">research and development<\/a> section or <a href=\"mailto:contact@chronoloom.com\">contact us<\/a> for more detailed information. <\/p>\n\n\n\n<p class=\"has-medium-font-size\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What we do Combining the expertise from electrical engineering and theoretical physics we validate the technical applicability of a synchronization approach that relies on a mutual coupling between network nodes rather than directed entrainment. Electrical engineers and theoretical physicists from the Dresden University of Technology, the Fraunhofer Institute for Reliability and Microintegration IZM Assid and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/pages\/24"}],"collection":[{"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/chronoloom.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24"}],"version-history":[{"count":19,"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/pages\/24\/revisions"}],"predecessor-version":[{"id":411,"href":"https:\/\/chronoloom.com\/index.php?rest_route=\/wp\/v2\/pages\/24\/revisions\/411"}],"wp:attachment":[{"href":"https:\/\/chronoloom.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}