Steven Strogatz: How things in nature tend to sync up


www.ted.com Mathematician Steven Strogatz shows how flocks of creatures (like birds, fireflies and fish) manage to synchronize and act as a unit -- when no one's giving orders. The powerful tendency extends into the realm of objects, too.TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes. Featured speakers have included Al Gore on climate change, Philippe Starck on design, Jill Bolte Taylor on observing her own stroke, Nicholas Negroponte on One Laptop per Child, Jane Goodall on chimpanzees, and "Lost" producer JJ Abrams on the allure of mystery. TED stands for Technology, Entertainment, Design, and TEDTalks cover these topics as well as science, business, development and the arts. Watch the Top 10 TEDTalks on TED.com, at http


Steven Strogatz TED tedtaks talks Biology Biomechanics Math Science Society Technology

The Calculus of Friendship - Steven Strogatz


I had an amazing math teacher in high school who I've kept in touch with for 30 years, mostly through letters about math problems. I recently wrote a book about my friendship with him and how it has evolved over the years. At a conference in Rochester last April, I gave a talk about the book and my friend Tom Swartwout edited it into this little video. I'm posting it as a tribute to my teacher. Thanks Mr. Joffray! If anybody else would like to make a tribute to a teacher that inspired them -- a quick thank-you message to your teacher or whatever -- please feel free to post it as a response to this video. I'm going to aggregate them at www.thank-my-teacher.com (under construction). For those interested in the book, you can find out more at http --


Strogatz Joffray Loomis Chaffee mathematics calculus teacher student friendship teaching

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 1


The chaotic waterwheel with Howard Stone, Division of Applied Sciences, Harvard


Strogatz chaos waterwheel nonlinear

Steven Strogatz 1.21.11


www.awelllightedplace.com Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University, and the author of, "The Elements of Math," a weekly column on mathematics for the New York Times during the spring of 2010. He is also the author of "Nonlinear Dynamics and Chaos" and "Sync." His most recent book, "The Calculus of Friendship," was published in August 2009.


writing book Steven Strogatz Cornell math New York Times Elements of Math Sync

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 2


The Double Pendulum, with Howard Stone, Division of Applied Sciences, Harvard


Strogatz chaos nonlinear double pendulum

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 3


Airplane wing vibrations with John Dugundji , Department of Aeronautics and Astronautics, MIT


Strogatz chaos nonlinear airplane wing vibrations

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 4


Chemical Oscillators with Irving Epstein, Chemistry Dept., Brandeis University. The Briggs-Rauscher reaction.


strogatz chaos nonlinear chemical oscillator briggs rauscher

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 5


Synchronized Chaos and Private Communications, with Kevin Cuomo, MIT Lincoln Laboratory


Strogatz chaos nonlinear synchronized private communications

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 6a


Musical Variations from a Chaotic Mapping with Diana Dabby, Department of Electrical Engineering, MIT


Strogatz chaos nonlinear musical variations mapping bach

Steven Strogatz - Nonlinear Dynamics and Chaos: Part 6b


Musical Variations from a Chaotic Mapping with Diana Dabby, Department of Electrical Engineering, MIT


Strogatz Chaos nonlinear musical variations mapping gershwin

WNYC/NPR's Radio Lab presents Parabolas (etc.)


Radio Lab presents: Parabolas (etc.) A video inspired by the mathematician, Steve Strogatz. At the age of thirteen, Steve was astonished to find that pendulums and water fountains had a strange relationship that had previously been completely hidden from him. www.radiolab.org Radio Lab is produced by WNYC Radio and distributed by NPR. Directed by Will Hoffman (http with Director of Photography Derek Paul Boyle (www.dpboyle.com).


Will Hoffman Derek Paul Boyle Radio Lab Radiolab WNYC NPR Steve Strogatz Parabola Science Jad Abumrad Robert Krulwich

Coupled oscillator flashes


Firefly/natural pacemaker simulator á la Steven Strogatz. Coupled oscillators which discharge their voltage and distribute them onto the other oscillators will eventually go into sync with each other. This video shows the flashes of 2500 oscillators.


steven strogatz sync coupled oscillator

sync and spontaneous organisation


I discuss the book "sync" by Steven Strogatz on spontaneous organisation in nature. FIre flies flashing in unison, women's periods locking up, the orbital time of moon and earth, pace maker cells in the hart


sync steven strogatz spontaneous organisation

Exploring Hopf bifurcations with GeoGebra 4


Example taken from pages 256-259 of Nonlinear Dynamics and Chaos, by Steven Strogatz.


geogebra bifurcation hopf

Borderline: Redrawing the map of Great Britain from a network of human interactions


Do regional boundaries defined by governments respect the more natural ways that people interact across space? This paper proposes a novel, fine-grained approach to regional delineation, based on analyzing networks of billions of individual human transactions. Given a geographical area and some measure of the strength of links between its inhabitants, we show how to partition the area into smaller, non-overlapping regions while minimizing the disruption to each person's links. We tested our method on the largest non-Internet human network, inferred from a large telecommunications database in Great Britain. Our partitioning algorithm yields geographically cohesive regions that correspond remarkably well with administrative regions, while unveiling unexpected spatial structures that had previously only been hypothesized in the literature. We also quantify the effects of partitioning, showing for instance that the effects of a possible secession of Wales from Great Britain would be twice as disruptive for the human network than that of Scotland. Carlo Ratti, Stanislav Sobolevsky, Francesco Calabrese, Clio Andris, Jonathan Reades, Mauro Martino, Rob Claxton, Steven H Strogatz - PLoS ONE, 2010


mit senseable city lab network & society computational social science

the state as a large organism 1/2


Could the state be viewed as a large organism and if so, what would it's life expectancy be, based on the known relation ship between mass and lifespan. part 2: www.youtube.com back ground reading opinionator.blogs.nytimes.com video.google.com


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Escola de Redes - O poder dos seis graus - Vol. 1


Connected: The Power of Six Degrees, 2008 - Direção: Annamaria Talas - Participações: Nyaloka Auma, Kevin Bacon, Albert-László Barabási, Lori Benson, Richard Boskey, Linda Cropper (narradora), Iain Cruckshank, Deedee Halleck, Robert Lee, Kenji Maeji, Frederick Moxley, Margaret Owino, Steve Strogatz, Florian Thomas, Phillipp Thomas, Brett Tjaden, Alessandro Vespignani, Marc Vidal e Duncan Watts. - Roteiro: Simon Nasht. - Produtores: Chris Hilton, Aline Jacques, Simon Nasht e Samantha Szillich. - Fotografia: Max Bourke, Tibor Klöpfler e Sándor Várkonyi. - Música original: Llaszlo Kiss e Sean Rigney. - Edição: Zen Rosenthal. - Produção: British Broadcasting Corporation (BBC) - TV ABC / DISCOVERY / SCIENCE CHANNEL - Distribuição: DV1 (2008) - Australia (DVD)


Escola de Redes O poder dos seis graus Vol 1

Escola de Redes - O poder dos seis graus - Vol. 2


Connected: The Power of Six Degrees, 2008 - Direção: Annamaria Talas - Participações: Nyaloka Auma, Kevin Bacon, Albert-László Barabási, Lori Benson, Richard Boskey, Linda Cropper (narradora), Iain Cruckshank, Deedee Halleck, Robert Lee, Kenji Maeji, Frederick Moxley, Margaret Owino, Steve Strogatz, Florian Thomas, Phillipp Thomas, Brett Tjaden, Alessandro Vespignani, Marc Vidal e Duncan Watts. - Roteiro: Simon Nasht. - Produtores: Chris Hilton, Aline Jacques, Simon Nasht e Samantha Szillich. - Fotografia: Max Bourke, Tibor Klöpfler e Sándor Várkonyi. - Música original: Llaszlo Kiss e Sean Rigney. - Edição: Zen Rosenthal. - Produção: British Broadcasting Corporation (BBC) - TV ABC / DISCOVERY / SCIENCE CHANNEL - Distribuição: DV1 (2008) - Australia (DVD)


Escola de Redes O poder dos seis graus Vol 2

Escola de Redes - O poder dos seis graus - Vol. 3


Connected: The Power of Six Degrees, 2008 - Direção: Annamaria Talas - Participações: Nyaloka Auma, Kevin Bacon, Albert-László Barabási, Lori Benson, Richard Boskey, Linda Cropper (narradora), Iain Cruckshank, Deedee Halleck, Robert Lee, Kenji Maeji, Frederick Moxley, Margaret Owino, Steve Strogatz, Florian Thomas, Phillipp Thomas, Brett Tjaden, Alessandro Vespignani, Marc Vidal e Duncan Watts. - Roteiro: Simon Nasht. - Produtores: Chris Hilton, Aline Jacques, Simon Nasht e Samantha Szillich. - Fotografia: Max Bourke, Tibor Klöpfler e Sándor Várkonyi. - Música original: Llaszlo Kiss e Sean Rigney. - Edição: Zen Rosenthal. - Produção: British Broadcasting Corporation (BBC) - TV ABC / DISCOVERY / SCIENCE CHANNEL - Distribuição: DV1 (2008) - Australia (DVD)


Escola de Redes O poder dos seis graus Vol 3

the state as a large organism 2/2


Could the state be viewed as a large organism and if so, what would it's life expectancy be, based on the known relation ship between mass and lifespan. part 1: www.youtube.com back ground reading opinionator.blogs.nytimes.com video.google.com


Kleibner geoffrey west steven strogatz state organism metabolic rate power law

Due Giorni a Parigi - Teoria del mondo piccolo.avi


La teoria del mondo piccolo o teoria dei piccoli mondi è una branca della teoria dei grafi che deve la sua esistenza, e la sua conseguente applicabilità e utilità, a studi riguardanti numerose discipline come biologia, economia, informatica e sociologia. La sua nascita può essere fatta risalire ad una serie di esperimenti condotti da Stanley Milgram che esaminavano la lunghezza media del percorso per reti sociali tra residenti negli Stati Uniti. La ricerca ipotizzò un mondo piccolo, costituito da una rete di collegamenti tra persone relativamente breve. Gli esperimenti sono spesso associati con la frase "sei gradi di separazione", anche se Milgram non ha mai utilizzato questa locuzione. Venne poi analizzata ed ulteriormente sviluppata nel 1998 nell'articolo apparso sulla rivista Nature, Collective dynamics of «smallworld» networks dei matematici Duncan Watts e Steven Strogatz[1] Questa teoria generalizza ed esplora le caratteristiche di insieme che hanno reti connesse di elementi, indipendentemente dalle caratteristiche proprie degli elementi. Reti di lucciole, router, compratori, attori e partner sessuali hanno almeno due caratteristiche simili: l'alto livello di aggregazione e il basso grado di separazione. La teoria illustra appunto come sia possibile conciliare questi due aspetti apparentemente contraddittori: il fatto che nonostante ogni elemento tenda ad avere relazioni prevalentemente con pochi altri (alta aggregazione) non impedisce di ottenere comunque una sua <b>...</b>


due giorni Parigi teoria del mondo piccolo sei gradi di separazione

TEDxMidAtlantic - Will Noel - 11/5/09


Dr. William Noel is Curator of Manuscripts and Rare Books at The Walters Art Museum, Baltimore, a position he took up in 1997. Since January 1999, Dr. Noel has directed an international program to conserve, image and study the Archimedes Palimpsest, the unique source for three treatises by the ancient Greek mathematician. An author of multiple books, Dr. Noel has taught and lectured widely. AboutTEDx, x=independently organize event In the spirit of ideas worth spreading, TEDx is a program of local, self- organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x=independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.* (*Subject to certain rules and regulations)


tedx tedxmidatlantic

Ryan Ashley's Chaotic Water Wheel


Inspired by Steven Strogatz's book Sync and Lorenz's strange attractor, this water wheel demonstrates chaotic behavior for Ryan Ashley's science fair project at Hopkinton High School. Ryan's just gotten the tuning of the wheel right by adjusting the bearing friction and weep holes so that unpredictable rotation, reversals and pendulum behavior emerges.


Ryan Ashley Hopkinton Science Fair Chaos Lorenz Strange Attractor Strogatz Sync

Dynamic embedding of the instant messaging network


Functional (neural-network based) dynamic embedding of the instant messaging network. The nodes of the network appear and disappear and the edges weights are evolving in time.


functional embedding instant messenger scale-free network neural networks

Simultaneous Linear and Nonlinear Pendulum Simulation: Large Angles


This animation shows the results of linear and nonlinear pendulum simulations simultaneously. The pendulum is held at an elevation of 0.5 meters and then released. The rod length is 1.0 meters. You can see that with such large angular displacements, the linearization is not valid. The grayed out pendulum is the result of the linearized simulation, and the black pendulum is the result of the more accurate nonlinear simulation. In the linearized equations the acceleration is too high at large angles, making the pendulum swing faster than it should. You can see the pendulums go completely out of phase a little after seven seconds. You can have a look at how the simulation results are closer when the angles are smaller in this video: www.youtube.com MATLAB code for this simulation and animation is available on the MATLAB Central File Exchange: www.mathworks.com


pendulum engineering simulation linear nonlinear dynamics dynamic system harmonic oscillation

Simulating Physarum in Oregonator model


Wave fronts in Oregonator model of plasmodium growth on a nutrient-substrate with few sources of repellents overlaid with sketch of main protoplasmic tubes. See Fig. 11.3, page 163, "Physarum machines"


physarum plasmodium Oregonator

Musicians@Google: WNYC's Radiolab + Zoë Keating


Jad Abumrad and Robert Krulwich, hosts of WNYC's 'Radiolab', join avant-cellist Zoë Keating for a discussion on the creative process. For more information about WNYC's Radiolab, please visit radiolab.org For more information about Zoë Keating, please visit http This event took place on March 25, 2011 at The Googleplex in Mountain View, CA.


radiolab wnyc zoe keating cello music radio musicians jad abumrad robert krulwich zoë keating musicians@google google avantcello loop

Complex Numbers: The Misleading Story (Part 1 of 2)


Complex numbers are necessary for algebraic closure - that is, to ensure that every polynomial equation has a solution. The scheme is brilliant and rigorous, but its presentation is highly misleading. Complex numbers are not a natural extension of the real numbers, as mathematicians claim, but a formal patch. This video outlines how the standard story distorts the facts, explores the consequences of this distortion, and suggests an alternative approach. For an introduction to complex numbers, I recommend the YouTube videos by Derek Owens.


complex numbers imaginary plane real natural integers rational irrational mathematics Strogatz Mazur Nahin Fred Martin

Fractals: How to Decode the Geometry of Chaos І The Great Courses


www.thegreatcourses.com Let's begin by clarifying what's distinctive about fractals by comparing them with familiar, non-fractal shapes and processes. The key point is that fractals behave oddly when you magnify them. Here is a schematic of a fractal shape. It's some kind of wiggly thing. I've drawn a little box around a piece of it to suggest that this is a region that I want to magnify and blow up into the next figure. What appeared here to be sort of a rounded, curvy feature, under magnification, you start to see it has wiggles on it that weren't visible at the earlier resolution. If we blow up one of those rounded features at that resolution, then we see that that rounded feature itself has wiggles on it. So that would be typical of a fractal, to see some kind of theme—in this case, wiggles—repeating at smaller and smaller scales. The structure is inexhaustible. Finer structure is revealed no matter how far down you look. In contrast, Euclidean shapes, by which I mean things that you would have studied in high school geometry: circles, straight lines, squares, spheres, things like that. Imagine them in their most perfect form. I'm not talking about a real circle, say, with a loop of string. I mean an abstract, Platonic circle, a perfectly thin line formed into a circle. So think of the perfect circle or the perfect sphere. A shape like that, if you look at that closely enough, if you imagine zooming in with a microscope on a shape like that, it starts to look smoother <b>...</b>


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El Follonero entrevista a Otegi


El Follonero ha entrevistado al líder abertzale ya conseguido sacarle algunos titulares, no te pierdas este esperado encuentro, que encontrarás íntegramente en www.salvados.lasexta.com


Salvados El Follonero Arnaldo Otegi Otegi EH Jordi Évole Euskal Herria Euskadi

fireflies sync


fireflies synchronizing


sync fireflies

A documentary on networks, social and otherwise_Part 1


This looks at network dynamics. The objective is to understand the common themes that different networks have both in the physical and social world. Some of the big hitters like Duncan Watts and Barabasi are featured here. Popular ideas like six degrees of separation is also investigated


social networks six degress of separation capital duncan watts science

Lecture - 32 Dynamics of Nonlinear Systems-III


Lecture series on Dynamics of Physical System by Prof. Soumitro Banerjee, Department of Electrical Engineering, IIT Kharagpur.For more details on NPTEL visit nptel.iitm.ac.in


Dynamics of Nonlinear Systems-III