BEGIN:VCALENDAR VERSION:2.0 PRODID:IEEE vTools.Events//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:America/Vancouver BEGIN:DAYLIGHT DTSTART:20220313T030000 TZOFFSETFROM:-0800 TZOFFSETTO:-0700 RRULE:FREQ=YEARLY;BYDAY=2SU;BYMONTH=3 TZNAME:PDT END:DAYLIGHT BEGIN:STANDARD DTSTART:20211107T010000 TZOFFSETFROM:-0700 TZOFFSETTO:-0800 RRULE:FREQ=YEARLY;BYDAY=1SU;BYMONTH=11 TZNAME:PST END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20211203T033911Z UID:AB16751D-EED4-4AE3-81E8-957DFBDDD258 DTSTART;TZID=America/Vancouver:20211201T100000 DTEND;TZID=America/Vancouver:20211201T113000 DESCRIPTION:As established by the second law of thermodynamics\, an isolate d system is unable to support complex phenomena. Conversely\, a system\, w hich communicates with the surrounding environment\, may exhibit complex b ehaviors\, provided some of its constitutive components are capable to amp lify infinitesimal fluctuations in energy under suitable polarization [1]\ , a property known as Local Activity. Back in 1974 the American luminary S tephen Smale [2] observed a counterintuitive phenomenon\, later referred t o as Smale Paradox\, over the course of an experiment on a reaction-diffus ion system.\n\nTwo identical 4th-order reaction cells\, sitting on a commo n quiet state on their own\, were found to undergo sustained limit-cycle o scillations when immersed in a coupling diffusive medium. An explanation f or this unexpected phenomenon may only be found in the Theory of Local Act ivity [3]\, and recurring\, particularly\, to the Edge of Chaos Theorem\, which asserts that a stable operating point ð of an isolated cell may b e destabilized\, as the cell is coupled to a dissipative environment\, if and only if the isolated cell is capable to amplify a small-signal superim posed on ð\, i.e. if and only if the isolated cell is both stable and l ocally-active\, i.e. on the Edge of Chaos\, at ð.\n\nIn this seminar we shall introduce the simplest ever-reported bio-inspired oscillatory netwo rk [4]\, consisting of two resistively-coupled and identical 2nd-order mem ristor cells\, which supports the counterintuitive emergent phenomena\, th at mesmerized Stephen Smale in the seventies. The Smale paradox will be re solved here\, once and for all\, by demonstrating how static and dynamic p atterns may develop in the reaction-diffusion system if and only if the is olated memristor oscillatory cell is biased on a stable and locally-active operating point. An in-depth study\, based upon linearization analysis an d large-signal phase-portrait investigations\, allows to draw a comprehens ive picture for the local and global dynamics of the reaction cell\, inclu ding a niobium oxide memristor [5]\, which features a peculiar ð-shaped DC current-voltage locus\, and is fabricated and characterized at NaMLab gGmbH [6]. This allows to develop a rigorous methodology to tune the desig n parameters of the two-cell array so as to induce diffusion-driven instab ilities therein. This work sheds light on the precious role that nonlinear system-theory may assume in the years to come to support circuit designer s in the exploration of the full potential of memristors in bio-inspired e lectronics.\n\nReferences:\n\n1] L.O. Chua\, "Local activity is the origin of complexity\," Int. J. on Bifurcation and Chaos\, vol. 15\, no. 11\, pp . 3435-3456\, 2005\n[2] S. Smale\, "A Mathematical Model of Two Cells via Turing's Equation\," American Mathematical Society\, Lectures in Applied M athematics\, vol. 6\, pp. 15-26\, 1974\n[3] K. Mainzer\, and L.O. Chua\, " Local Activity Principle\," Imperial College Press\, 2013\, ISBN-13: 978-1 -908977-09-0\n[4] A. Ascoli\, A.S. Demirkol\, L. Chua\, and R. Tetzlaff\, "Edge of Chaos Theory Resolves Smale Paradox in the Simplest Memristor Osc illatory Network\," IEEE Trans. on Circuits and Systems-I: Regular Papers\ , 2021\, in press\n\nCo-sponsored by: CH07088 - Vancouver Section Jt. Chap ter\, CS23/RA24/SMC28\n\nSpeaker(s): Alon Ascoli\, \n\nAgenda: \nAs establ ished by the second law of thermodynamics\, an isolated system is unable t o support complex phenomena. Conversely\, a system\, which communicates wi th the surrounding environment\, may exhibit complex behaviors\, provided some of its constitutive components are capable to amplify infinitesimal f luctuations in energy under suitable polarization [1]\, a property known a s Local Activity. Back in 1974 the American luminary Stephen Smale [2] obs erved a counterintuitive phenomenon\, later referred to as Smale Paradox\, over the course of an experiment on a reaction-diffusion system.\n\nTwo i dentical 4th-order reaction cells\, sitting on a common quiet state on the ir own\, were found to undergo sustained limit-cycle oscillations when imm ersed in a coupling diffusive medium. An explanation for this unexpected p henomenon may only be found in the Theory of Local Activity [3]\, and recu rring\, particularly\, to the Edge of Chaos Theorem\, which asserts that a stable operating point ð of an isolated cell may be destabilized\, as the cell is coupled to a dissipative environment\, if and only if the isol ated cell is capable to amplify a small-signal superimposed on ð\, i.e. if and only if the isolated cell is both stable and locally-active\, i.e. on the Edge of Chaos\, at ð.\n\nIn this seminar we shall introduce the simplest ever-reported bio-inspired oscillatory network [4]\, consisting of two resistively-coupled and identical 2nd-order memristor cells\, which supports the counterintuitive emergent phenomena\, that mesmerized Stephe n Smale in the seventies. The Smale paradox will be resolved here\, once a nd for all\, by demonstrating how static and dynamic patterns may develop in the reaction-diffusion system if and only if the isolated memristor osc illatory cell is biased on a stable and locally-active operating point. An in-depth study\, based upon linearization analysis and large-signal phase -portrait investigations\, allows to draw a comprehensive picture for the local and global dynamics of the reaction cell\, including a niobium oxide memristor [5]\, which features a peculiar ð-shaped DC current-voltage locus\, and is fabricated and characterized at NaMLab gGmbH [6]. This allo ws to develop a rigorous methodology to tune the design parameters of the two-cell array so as to induce diffusion-driven instabilities therein. Thi s work sheds light on the precious role that nonlinear system-theory may a ssume in the years to come to support circuit designers in the exploration of the full potential of memristors in bio-inspired electronics.\n\nRefer ences:\n1] L.O. Chua\, "Local activity is the origin of complexity\," Int. J. on Bifurcation and Chaos\, vol. 15\, no. 11\, pp. 3435-3456\, 2005\n[2 ] S. Smale\, "A Mathematical Model of Two Cells via Turing's Equation\," A merican Mathematical Society\, Lectures in Applied Mathematics\, vol. 6\, pp. 15-26\, 1974\n[3] K. Mainzer\, and L.O. Chua\, "Local Activity Princip le\," Imperial College Press\, 2013\, ISBN-13: 978-1-908977-09-0\n[4] A. A scoli\, A.S. Demirkol\, L. Chua\, and R. Tetzlaff\, "Edge of Chaos Theory Resolves Smale Paradox in the Simplest Memristor Oscillatory Network\," IE EE Trans. on Circuits and Systems-I: Regular Papers\, 2021\, in press\n\nV irtual: https://events.vtools.ieee.org/m/290502 LOCATION:Virtual: https://events.vtools.ieee.org/m/290502 ORGANIZER:ljilja@cs.sfu.ca SEQUENCE:5 SUMMARY:Local Activity Theory Enables the Systematic Design of the Simplest Ever-Reported Bio-Inspired Memristor Oscillatory Network with Diffusion-I nduced Instabilities URL;VALUE=URI:https://events.vtools.ieee.org/m/290502 X-ALT-DESC:Description: <br /><div class="page" title="Page 1">\n<div class ="layoutArea">\n<div class="column">\n<p>As established by the second law of thermodynamics\, an isolated system is unable to support complex phenom ena. Conversely\, a system\, which communicates with the surrounding envir onment\, may exhibit complex behaviors\, provided some of its constitutive components are capable to amplify infinitesimal fluctuations in energy un der suitable polarization [1]\, a property known as Local Activity. Back i n 1974 the American luminary Stephen Smale [2] observed a counterintuitive phenomenon\, later referred to as Smale Paradox\, over the course of an e xperiment on a reaction-diffusion system.</p>\n<p>Two identical 4th-order reaction cells\, sitting on a common quiet state on their own\, were found to undergo sustained limit-cycle oscillations when immersed in a coupling diffusive medium. An explanation for this unexpected phenomenon may only be found in the Theory of Local Activity [3]\, and recurring\, particularl y\, to the Edge of Chaos Theorem\, which asserts that a stable operating p oint &Atilde\;&deg\; of an isolated cell may be destabilized\, as the cell is coupled to a dissipative environment\, if and only if the isolated cel l is capable to amplify a small-signal superimposed on &Atilde\;&deg\;\, i .e. if and only if the isolated cell is both stable and locally-active\, i .e. on the Edge of Chaos\, at &Atilde\;&deg\;.</p>\n<p>In this seminar we shall introduce the simplest ever-reported bio-inspired oscillatory networ k [4]\, consisting of two resistively-coupled and identical 2nd-order memr istor cells\, which supports the counterintuitive emergent phenomena\, tha t mesmerized Stephen Smale in the seventies. The Smale paradox will be res olved here\, once and for all\, by demonstrating how static and dynamic pa tterns may develop in the reaction-diffusion system if and only if the iso lated memristor oscillatory cell is biased on a stable and locally-active operating point. An in-depth study\, based upon linearization analysis and large-signal phase-portrait investigations\, allows to draw a comprehensi ve picture for the local and global dynamics of the reaction cell\, includ ing a niobium oxide memristor [5]\, which features a peculiar &Atilde\;&de g\;-shaped DC current-voltage locus\, and is fabricated and characterized at NaMLab gGmbH [6]. This allows to develop a rigorous methodology to tune the design parameters of the two-cell array so as to induce diffusion-dri ven instabilities therein. This work sheds light on the precious role that nonlinear system-theory may assume in the years to come to support circui t designers in the exploration of the full potential of memristors in bio- inspired electronics.</p>\n<p>References:</p>\n<p>1] L.O. Chua\, "Local ac tivity is the origin of complexity\," Int. J. on Bifurcation and Chaos\, v ol. 15\, no. 11\, pp. 3435-3456\, 2005<br />[2] S. Smale\, "A Mathematical Model of Two Cells via Turing's Equation\," American Mathematical Society \, Lectures in Applied Mathematics\, vol. 6\, pp. 15-26\, 1974<br />[3] K. Mainzer\, and L.O. Chua\, "Local Activity Principle\," Imperial College P ress\, 2013\, ISBN-13: 978-1-908977-09-0<br />[4] A. Ascoli\, A.S. Demirko l\, L. Chua\, and R. Tetzlaff\, "Edge of Chaos Theory Resolves Smale Parad ox in the Simplest Memristor Oscillatory Network\," IEEE Trans. on Circuit s and Systems-I: Regular Papers\, 2021\, in press&nbsp\;</p>\n</div>\n</di v>\n</div><br /><br />Agenda: <br /><div class="page" title="Page 1">\n<di v class="layoutArea">\n<div class="column">\n<p>As established by the seco nd law of thermodynamics\, an isolated system is unable to support complex phenomena. Conversely\, a system\, which communicates with the surroundin g environment\, may exhibit complex behaviors\, provided some of its const itutive components are capable to amplify infinitesimal fluctuations in en ergy under suitable polarization [1]\, a property known as Local Activity. Back in 1974 the American luminary Stephen Smale [2] observed a counterin tuitive phenomenon\, later referred to as Smale Paradox\, over the course of an experiment on a reaction-diffusion system.</p>\n<p>Two identical 4th -order reaction cells\, sitting on a common quiet state on their own\, wer e found to undergo sustained limit-cycle oscillations when immersed in a c oupling diffusive medium. An explanation for this unexpected phenomenon ma y only be found in the Theory of Local Activity [3]\, and recurring\, part icularly\, to the Edge of Chaos Theorem\, which asserts that a stable oper ating point &Atilde\;&deg\; of an isolated cell may be destabilized\, as t he cell is coupled to a dissipative environment\, if and only if the isola ted cell is capable to amplify a small-signal superimposed on &Atilde\;&de g\;\, i.e. if and only if the isolated cell is both stable and locally-act ive\, i.e. on the Edge of Chaos\, at &Atilde\;&deg\;.</p>\n<p>In this semi nar we shall introduce the simplest ever-reported bio-inspired oscillatory network [4]\, consisting of two resistively-coupled and identical 2nd-ord er memristor cells\, which supports the counterintuitive emergent phenomen a\, that mesmerized Stephen Smale in the seventies. The Smale paradox will be resolved here\, once and for all\, by demonstrating how static and dyn amic patterns may develop in the reaction-diffusion system if and only if the isolated memristor oscillatory cell is biased on a stable and locally- active operating point. An in-depth study\, based upon linearization analy sis and large-signal phase-portrait investigations\, allows to draw a comp rehensive picture for the local and global dynamics of the reaction cell\, including a niobium oxide memristor [5]\, which features a peculiar &Atil de\;&deg\;-shaped DC current-voltage locus\, and is fabricated and charact erized at NaMLab gGmbH [6]. This allows to develop a rigorous methodology to tune the design parameters of the two-cell array so as to induce diffus ion-driven instabilities therein. This work sheds light on the precious ro le that nonlinear system-theory may assume in the years to come to support circuit designers in the exploration of the full potential of memristors in bio-inspired electronics.</p>\n<p>References:<br />1] L.O. Chua\, "Loca l activity is the origin of complexity\," Int. J. on Bifurcation and Chaos \, vol. 15\, no. 11\, pp. 3435-3456\, 2005<br />[2] S. Smale\, "A Mathemat ical Model of Two Cells via Turing's Equation\," American Mathematical Soc iety\, Lectures in Applied Mathematics\, vol. 6\, pp. 15-26\, 1974<br />[3 ] K. Mainzer\, and L.O. Chua\, "Local Activity Principle\," Imperial Colle ge Press\, 2013\, ISBN-13: 978-1-908977-09-0<br />[4] A. Ascoli\, A.S. Dem irkol\, L. Chua\, and R. Tetzlaff\, "Edge of Chaos Theory Resolves Smale P aradox in the Simplest Memristor Oscillatory Network\," IEEE Trans. on Cir cuits and Systems-I: Regular Papers\, 2021\, in press&nbsp\;</p>\n</div>\n </div>\n</div> END:VEVENT END:VCALENDAR