BEGIN:VCALENDAR VERSION:2.0 PRODID:IEEE vTools.Events//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/New_York BEGIN:DAYLIGHT DTSTART:20260308T030000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 RRULE:FREQ=YEARLY;BYDAY=2SU;BYMONTH=3 TZNAME:EDT END:DAYLIGHT BEGIN:STANDARD DTSTART:20261101T010000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 RRULE:FREQ=YEARLY;BYDAY=1SU;BYMONTH=11 TZNAME:EST END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260619T131025Z UID:4BA0CE75-8123-486F-B51A-714311CC9BDA DTSTART;TZID=America/New_York:20260709T110000 DTEND;TZID=America/New_York:20260709T120000 DESCRIPTION:Topic: Enriched multiple scales (EMS) [1]\, differs from the co nventional multiplescales approach by its incorporation of a homotopy para meter and dependent expansions. The central principle of the method\, as a pplied to ODEs\, requires that the undamped linear problem homotopic to th e nonlinear problem be chosen to respond at the forcing frequency (or a su b- or super-harmonic thereof)\, leading to secular term cancellation using the excitation frequency. This results in an approach not strictly limite d to weakly nonlinear systems and thus capable of capturing periodic\, sub harmonic\, superharmonic\, and quasiperiodic solutions at higher forcing a nd nonlinear strengths.\n\nIn this talk\, we will first overview EMS for o rdinary differential equations (ODEs) and its accuracy will be assessed by comparing its predictions to time-integration solutions for a Duffing sys tem\, a dry-friction damped system\, and a forced van der Pol system. Ongo ing research will then be discussed\, including (i) extension of EMS to pa rtial differential equations (PDEs)\, (ii) alignment of EMS with Complexif ication-Averaging (CX-A)\, and (iii) extensions to higher-orders.\n\n[1] C acan\, M.R.\, Leadenham\, S.\, Leamy\, M.J.\, 2014\, “An Enriched Multip le ScalesMethod for Harmonically Forced Nonlinear Systems\,” Nonlinear D ynamics\, 78 (2): 1205-1220.\n\nSpeaker: Dr. Michael J. Leamy - Mechanical Engineering Department Chair and Dorothean Chair of Engineering and Scien ce at the University of Vermont.\n\nCo-sponsored by: UVM CREATE - Center f or Resilient Energy & Autonomous Technologies in Engineering\n\nSpeaker(s) : Michael Leamy\, \n\nRoom: 307\, Bldg: Votey Hall\, University of Vermont \, Burlington\, Vermont\, United States\, 05405 LOCATION:Room: 307\, Bldg: Votey Hall\, University of Vermont\, Burlington\ , Vermont\, United States\, 05405 ORGANIZER:lduffaut@uvm.edu SEQUENCE:26 SUMMARY:Seminar - Enriched Multiple Scales for Strongly-Nonlinear Ordinary and Partial Differential Equations URL;VALUE=URI:https://events.vtools.ieee.org/m/564140 X-ALT-DESC:Description: <br /><p><span data-olk-copy-source="MessageBody">T opic: Enriched multiple scales (EMS) [1]\, differs from the conventional m ultiplescales approach by its incorporation of a homotopy parameter and de pendent expansions. The central principle of the method\, as applied to OD Es\, requires that the undamped linear problem homotopic to the nonlinear problem be chosen to respond at the forcing frequency (or a sub- or super- harmonic thereof)\, leading to secular term cancellation using the excitat ion frequency. This results in an approach not strictly limited to weakly nonlinear systems and thus capable of capturing periodic\, subharmonic\, s uperharmonic\, and quasiperiodic solutions at higher forcing and nonlinear strengths.<br></span></p>\n<p><span data-olk-copy-source="MessageBody">In this talk\, we will first overview EMS for ordinary differential equation s (ODEs) and its accuracy will be assessed by comparing its predictions to time-integration solutions for a Duffing system\, a dry-friction damped s ystem\, and a forced van der Pol system. Ongoing research will then be dis cussed\, including (i) extension of EMS to partial differential equations (PDEs)\, (ii) alignment of EMS with Complexification-Averaging (CX-A)\, an d (iii) extensions to higher-orders.</span></p>\n<p><span data-olk-copy-so urce="MessageBody"><span style="color: rgb(0\, 0\, 0)\; font-family: Aptos \, sans-serif\; font-size: 16px\; font-style: normal\; font-variant-ligatu res: normal\; font-variant-caps: normal\; font-weight: 400\; letter-spacin g: normal\; orphans: 2\; text-align: start\; text-indent: 0px\; text-trans form: none\; widows: 2\; word-spacing: 0px\; -webkit-text-stroke-width: 0p x\; white-space: normal\; background-color: rgb(255\, 255\, 255)\; text-de coration-thickness: initial\; text-decoration-style: initial\; text-decora tion-color: initial\; display: inline !important\; float: none\;">[1] Caca n\, M.R.\, Leadenham\, S.\, </span><span class="markqvujwe4in" style="bord er: 0px\; font-style: normal\; font-variant-ligatures: normal\; font-varia nt-caps: normal\; font-variant-numeric: inherit\; font-variant-east-asian: inherit\; font-variant-alternates: inherit\; font-variant-position: inher it\; font-variant-emoji: inherit\; font-weight: 400\; font-stretch: inheri t\; font-size: 16px\; line-height: inherit\; font-family: Aptos\, sans-ser if\; font-optical-sizing: inherit\; font-size-adjust: inherit\; font-kerni ng: inherit\; font-feature-settings: inherit\; font-variation-settings: in herit\; font-language-override: inherit\; margin: 0px\; padding: 0px\; ver tical-align: baseline\; color: rgb(0\, 0\, 0)\; letter-spacing: normal\; o rphans: 2\; text-align: start\; text-indent: 0px\; text-transform: none\; widows: 2\; word-spacing: 0px\; -webkit-text-stroke-width: 0px\; white-spa ce: normal\; background-color: rgb(255\, 255\, 255)\; text-decoration-thic kness: initial\; text-decoration-style: initial\; text-decoration-color: i nitial\;" data-markjs="true" data-ogac="" data-ogab="" data-ogsc="" data-o gsb="">Leamy</span><span style="color: rgb(0\, 0\, 0)\; font-family: Aptos \, sans-serif\; font-size: 16px\; font-style: normal\; font-variant-ligatu res: normal\; font-variant-caps: normal\; font-weight: 400\; letter-spacin g: normal\; orphans: 2\; text-align: start\; text-indent: 0px\; text-trans form: none\; widows: 2\; word-spacing: 0px\; -webkit-text-stroke-width: 0p x\; white-space: normal\; background-color: rgb(255\, 255\, 255)\; text-de coration-thickness: initial\; text-decoration-style: initial\; text-decora tion-color: initial\; display: inline !important\; float: none\;">\, M.J.\ , 2014\, &ldquo\;An Enriched Multiple ScalesMethod for Harmonically Forced Nonlinear Systems\,&rdquo\; Nonlinear Dynamics\, 78 (2): 1205-1220.</span ></span></p>\n<p><span data-olk-copy-source="MessageBody"><span style="col or: rgb(0\, 0\, 0)\; font-family: Aptos\, sans-serif\; font-size: 16px\; f ont-style: normal\; font-variant-ligatures: normal\; font-variant-caps: no rmal\; font-weight: 400\; letter-spacing: normal\; orphans: 2\; text-align : start\; text-indent: 0px\; text-transform: none\; widows: 2\; word-spaci ng: 0px\; -webkit-text-stroke-width: 0px\; white-space: normal\; backgroun d-color: rgb(255\, 255\, 255)\; text-decoration-thickness: initial\; text- decoration-style: initial\; text-decoration-color: initial\; display: inli ne !important\; float: none\;"><br></span></span><span data-olk-copy-sourc e="MessageBody"><span style="color: rgb(0\, 0\, 0)\; font-family: Aptos\, sans-serif\; font-size: 16px\; font-style: normal\; font-variant-ligatures : normal\; font-variant-caps: normal\; font-weight: 400\; letter-spacing: normal\; orphans: 2\; text-align: start\; text-indent: 0px\; text-transfor m: none\; widows: 2\; word-spacing: 0px\; -webkit-text-stroke-width: 0px\; white-space: normal\; background-color: rgb(255\, 255\, 255)\; text-decor ation-thickness: initial\; text-decoration-style: initial\; text-decoratio n-color: initial\; display: inline !important\; float: none\;">Speaker: Dr . <span style="color: rgb(0\, 0\, 0)\; font-family: Aptos\, sans-serif\; f ont-size: 16px\; font-style: normal\; font-variant-ligatures: normal\; fon t-variant-caps: normal\; font-weight: 400\; letter-spacing: normal\; orpha ns: 2\; text-align: start\; text-indent: 0px\; text-transform: none\; wido ws: 2\; word-spacing: 0px\; -webkit-text-stroke-width: 0px\; white-space: normal\; background-color: rgb(255\, 255\, 255)\; text-decoration-thicknes s: initial\; text-decoration-style: initial\; text-decoration-color: initi al\; display: inline !important\; float: none\;">Michael J.&nbsp\;</span>< span class="marklwuxaop5l" style="border: 0px\; font-style: normal\; font- variant-ligatures: normal\; font-variant-caps: normal\; font-variant-numer ic: inherit\; font-variant-east-asian: inherit\; font-variant-alternates: inherit\; font-variant-position: inherit\; font-variant-emoji: inherit\; f ont-weight: 400\; font-stretch: inherit\; font-size: 16px\; line-height: i nherit\; font-family: Aptos\, sans-serif\; font-optical-sizing: inherit\; font-size-adjust: inherit\; font-kerning: inherit\; font-feature-settings: inherit\; font-variation-settings: inherit\; font-language-override: inhe rit\; margin: 0px\; padding: 0px\; vertical-align: baseline\; color: rgb(0 \, 0\, 0)\; letter-spacing: normal\; orphans: 2\; text-align: start\; text -indent: 0px\; text-transform: none\; widows: 2\; word-spacing: 0px\; -web kit-text-stroke-width: 0px\; white-space: normal\; background-color: rgb(2 55\, 255\, 255)\; text-decoration-thickness: initial\; text-decoration-sty le: initial\; text-decoration-color: initial\;" data-markjs="true" data-og ac="" data-ogab="" data-ogsc="" data-ogsb="">Leamy</span><span style="colo r: rgb(0\, 0\, 0)\; font-family: Aptos\, sans-serif\; font-size: 16px\; fo nt-style: normal\; font-variant-ligatures: normal\; font-variant-caps: nor mal\; font-weight: 400\; letter-spacing: normal\; orphans: 2\; text-align: start\; text-indent: 0px\; text-transform: none\; widows: 2\; word-spacin g: 0px\; -webkit-text-stroke-width: 0px\; white-space: normal\; background -color: rgb(255\, 255\, 255)\; text-decoration-thickness: initial\; text-d ecoration-style: initial\; text-decoration-color: initial\; display: inlin e !important\; float: none\;"> - Mechanical Engineering Department Chair a nd Dorothean Chair of Engineering and Science at the University of Vermont .&nbsp\;</span></span></span></p> END:VEVENT END:VCALENDAR