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Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University - YouTube

Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University - YouTube | Intelligence | Scoop.it

This course of 25 lectures, filmed at Cornell University in Spring 2014, is intended for newcomers to nonlinear dynamics and chaos. It closely follows Prof. Strogatz's book, "Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering." The mathematical treatment is friendly and informal, but still careful. Analytical methods, concrete examples, and geometric intuition are stressed. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the course is its emphasis on applications. These include airplane wing vibrations, biological rhythms, insect outbreaks, chemical oscillators, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. The theoretical work is enlivened by frequent use of computer graphics, simulations, and videotaped demonstrations of nonlinear phenomena. The essential prerequisite is single-variable calculus, including curve sketching, Taylor series, and separable differential equations. In a few places, multivariable calculus (partial derivatives, Jacobian matrix, divergence theorem) and linear algebra (eigenvalues and eigenvectors) are used. Fourier analysis is not assumed, and is developed where needed. Introductory physics is used throughout. Other scientific prerequisites would depend on the applications considered, but in all cases, a first course should be adequate preparation

 

Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

https://www.youtube.com/playlist?list=PLbN57C5Zdl6j_qJA-pARJnKsmROzPnO9V


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Jean-Michel Livowsky's curator insight, June 2, 12:23 AM

Nonlinear Dynamics and Chaos

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Rescooped by Jean-Michel Livowsky from e-Xploration
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Les #robots sur le Web social: état des lieux et #prospectives / via @LesDiplomates | #socialbots

Les #robots sur le Web social: état des lieux et #prospectives / via @LesDiplomates | #socialbots | Intelligence | Scoop.it
Des robots avancés ont désormais infiltré les réseaux sociaux et peuvent interagir et tromper les êtres humains. Quelle impact sur les métiers du numérique?

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luiy's curator insight, September 11, 7:44 AM

De fait, les "bots" ne sont plus un épiphénomène, mais participent pleinement au fonctionnement d’Internet. Mais au-delà des classiquescrawlers bots, l’apparition de programmes automatiques plus ou moins raffinés sur le Web social pose indubitablement des questions d’ordre éthique, juridique et, surtout, stratégique.

 

 

Etat des lieux des robots à l’heure actuelle

 

A l’origine, les robots étaient des programmes informatiques censés effectuer des tâches répétitives, simples et automatisées, à un degré de fréquence plus ou moins élevé, avec le minimum d’implication.

 

Mais ces programmes ont gagné en raffinement à mesure qu’ils s’attaquaient aux réseaux sociaux. Désormais, des "socialbots" avancés ont infiltré Twitter et d’autres réseaux sociaux et sont en mesure de tromper les êtres humains. Si votre première pensée consiste à croire qu’un robot est facilement repérable et qu’il n’est pas très sophistiqué, vous êtes dans l’erreur. Un groupe de chercheurs brésiliens a récemment démontré que non seulement les robots étaient en mesure de pénétrer et stimuler des communautés, mais ils pouvaient également altérer leurs opinions et devenir des influenceurs.

Rescooped by Jean-Michel Livowsky from Peer2Politics
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Knowledge Sharing Tools and Methods Toolkit - Social Network Analysis

Knowledge Sharing Tools and Methods Toolkit - Social Network Analysis | Intelligence | Scoop.it

"Social network analysis is the mapping and measuring of relationships and flows between people, groups, organisations, computers or other information/knowledge processing entities." (Valdis Krebs, 2002). Social Network Analysis (SNA) is a method for visualizing our people and connection power, leading us to identify how we can best interact to share knowledge.


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luiy's curator insight, September 11, 2:45 PM

When to use:Visualize relationships within and outside of the organization.Facilitate identification of who knows who and who might know what - teams and individuals playing central roles - thought leaders, key knowledge brokers, experts, etc.Identify isolated teams or individuals and knowledge bottlenecks.Strategically work to improve knowledge flows.Accelerate the flow of knowledge and information across functional and organisational boundaries.Improve the effectiveness of formal and informal communication channels.Raise awareness of the importance of informal networks.

Karen du Toit's curator insight, September 15, 12:27 AM

A great wiki to check out about social network analysis

Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Les panneaux solaires du futur seront transparents

Les panneaux solaires du futur seront transparents | Intelligence | Scoop.it

Belle avancéeSCIENCE - Produire de l'énergie solaire avec votre téléphone ou grâce au pare-brise de votre voiture? Ce n'est pas de la science-fiction. Des chercheurs de l'Université du Michigan ont réussi à mettre ...


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Rescooped by Jean-Michel Livowsky from Complex World
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Physicists eye neural fly data, find formula for Zipf's law

Physicists eye neural fly data, find formula for Zipf's law | Intelligence | Scoop.it

Physicists have identified a mechanism that may help explain Zipf's law – a unique pattern of behavior found in disparate systems, including complex biological ones. The journal Physical Review Letters is publishing their mathematical models, which demonstrate how Zipf's law naturally arises when a sufficient number of units react to a hidden variable in a system.


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Jean-Michel Livowsky's curator insight, August 8, 1:57 AM

Maintenant, on sait pourquoi les terroristes du hamaSS volent, et surtout comment.

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Sand Pile Model of the Mind Grows in Popularity

Sand Pile Model of the Mind Grows in Popularity | Intelligence | Scoop.it
Support is growing for a decades-old physics idea suggesting that localized episodes of disordered brain activity help keep the overall system in healthy balance

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2014 #Ebola Outbreak: Worldwide Air Transportation and Relative Import #Risk | #dataviz

2014 #Ebola Outbreak: Worldwide Air Transportation and Relative Import #Risk | #dataviz | Intelligence | Scoop.it

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luiy's curator insight, August 10, 1:04 PM
The Nodes: Nodes in the network represent the largest 1227 airports in the worldwide air-transportation network (WAN) comprising approx. 95% of the entire global air traffic. The dataset used in our computational models contains more than 4000 airports, a total passenger flux of more than 3 billion passengers/year. Node size quantifies the capacity (size) of an airport. Colors correspond to geographical regions. Hover over a node for an additional info pop-up.
Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Les pays développés ne sont plus qu'à moitié riche

Les pays développés ne sont plus qu'à moitié riche | Intelligence | Scoop.it
Les pays développés produisent désormais moins de 50% de la richesse mondiale, dépassés par la poussée économique des grands pays émergents... et des pays en développement.

Via Aurélie Thev'
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Voilà qui peut-être explique certaines choses !

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Physicists eye neural fly data, find formula for Zipf's law

Physicists eye neural fly data, find formula for Zipf's law | Intelligence | Scoop.it

Physicists have identified a mechanism that may help explain Zipf's law – a unique pattern of behavior found in disparate systems, including complex biological ones. The journal Physical Review Letters is publishing their mathematical models, which demonstrate how Zipf's law naturally arises when a sufficient number of units react to a hidden variable in a system.


Via Claudia Mihai
Jean-Michel Livowsky's insight:

Maintenant, on sait pourquoi les terroristes du hamaSS volent, et surtout comment.

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Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Le vertige technologique masque un déficit majeur d'Innovation organisationnelle

Le vertige technologique masque un déficit majeur d'Innovation organisationnelle | Intelligence | Scoop.it
Les objets technologiques mettent parfois des années pour révéler les domaines sur lesquels ils agiront et quelles nouvelles applications ils (...)

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Stéphane NEREAU's curator insight, July 28, 2:56 AM

add your insight...

Rescooped by Jean-Michel Livowsky from Complex World
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Connecting Core Percolation and Controllability of Complex Networks

Connecting Core Percolation and Controllability of Complex Networks | Intelligence | Scoop.it
Core percolation is a fundamental structural transition in complex networks related to a wide range of important problems. Recent advances have provided us an analytical framework of core percolation in uncorrelated random networks with arbitrary degree distributions. Here we apply the tools in analysis of network controllability. We confirm analytically that the emergence of the bifurcation in control coincides with the formation of the core and the structure of the core determines the control mode of the network. We also derive the analytical expression related to the controllability robustness by extending the deduction in core percolation. These findings help us better understand the interesting interplay between the structural and dynamical properties of complex networks.

Via Shaolin Tan, Alejandro J. Alvarez S., Tim Williamson, NESS, Claudia Mihai
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Sibout Nooteboom's curator insight, July 13, 12:52 AM

Fascinating advances

Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Espionnage : des politiciens allemands pensent à la machine à écrire

Espionnage : des politiciens allemands pensent à la machine à écrire | Intelligence | Scoop.it
Une chose est sûre (ou pas), une machine à écrire ne pourra jamais être piratée.

Via Aurélie Thev'
Jean-Michel Livowsky's insight:

FAUX ! C'est presque plus facile à pirater qu'un ordinateur !

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Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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La NSA autorisée à espionner 193 pays et institutions dès 2010

La NSA autorisée à espionner 193 pays et institutions dès 2010 | Intelligence | Scoop.it
Non seulement la NSA a eu l'autorisation d'espionner à tout va, mais la liste fournie par le Washington Post est disponible dans cet article! Et quelle liste! Avec des "amis" comme cela, il n'y a v...

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Experimental evidence of massive-scale emotional contagion through social networks

Experimental evidence of massive-scale emotional contagion through social networks | Intelligence | Scoop.it

We show, via a massive (N = 689,003) experiment on Facebook, that emotional states can be transferred to others via emotional contagion, leading people to experience the same emotions without their awareness. We provide experimental evidence that emotional contagion occurs without direct interaction between people (exposure to a friend expressing an emotion is sufficient), and in the complete absence of nonverbal cues.


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Knowledge Sharing Tools and Methods Toolkit - Social Network Analysis

Knowledge Sharing Tools and Methods Toolkit - Social Network Analysis | Intelligence | Scoop.it

"Social network analysis is the mapping and measuring of relationships and flows between people, groups, organisations, computers or other information/knowledge processing entities." (Valdis Krebs, 2002). Social Network Analysis (SNA) is a method for visualizing our people and connection power, leading us to identify how we can best interact to share knowledge.


Via jean lievens
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luiy's curator insight, September 11, 2:45 PM

When to use:Visualize relationships within and outside of the organization.Facilitate identification of who knows who and who might know what - teams and individuals playing central roles - thought leaders, key knowledge brokers, experts, etc.Identify isolated teams or individuals and knowledge bottlenecks.Strategically work to improve knowledge flows.Accelerate the flow of knowledge and information across functional and organisational boundaries.Improve the effectiveness of formal and informal communication channels.Raise awareness of the importance of informal networks.

Karen du Toit's curator insight, September 15, 12:27 AM

A great wiki to check out about social network analysis

Rescooped by Jean-Michel Livowsky from Complex World
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Punctuated Equilibrium in the Large Scale Evolution of Programming Languages

Punctuated Equilibrium in the Large Scale Evolution of Programming Languages | Intelligence | Scoop.it

The analogies and differences between biological and cultural evolution have been explored by evolutionary biologists, historians, engineers and linguists alike. Two well known domains of cultural change are language and technology. Both share some traits relating the evolution of species, but technological change is very difficult to study. A major challenge in our way towards a scientific theory of technological evolution is how to properly define evolutionary trees or clades and how to weight the role played by horizontal transfer of information. Here we study the large scale historical development of programming languages, which have deeply marked social and technological advances in the last half century. We analyse their historical connections using network theory and reconstructed phylogenetic networks. Using both data analysis and network modelling, it is shown that their evolution is highly uneven, marked by innovation events where new languages are created out of improved combinations of different structural components belonging
to previous languages. These radiation events occur in a bursty pattern and are tied to novel technological and social niches. The method can be extrapolated to other systems and consistently captures the major classes of languages and the widespread horizontal design exchanges, revealing a punctuated evolutionary path.


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How bird flocks are like liquid helium

How bird flocks are like liquid helium | Intelligence | Scoop.it

Mathematical model shows how hundreds of starlings coordinate their movements in flight.

A flock of starlings flies as one, a spectacular display in which each bird flits about as if in a well-choreographed dance. Everyone seems to know exactly when and where to turn. Now, for the first time, researchers have measured how that knowledge moves through the flock—a behavior that mirrors certain quantum phenomena of liquid helium.


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Scaling of Chaos versus Periodicity: How Certain is it that an Attractor is Chaotic?

Scaling of Chaos versus Periodicity: How Certain is it that an Attractor is Chaotic? | Intelligence | Scoop.it
A small perturbation in a system's parameter can convert its attractor from chaotic to periodic, where the probability of obtaining a chaotic regime scales as a power law with respect to the perturbation size.

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Israel, Gaza, #War & Data | #SNA #socialmedia

Israel, Gaza, #War & Data | #SNA #socialmedia | Intelligence | Scoop.it
social networks and the art of personalizing propaganda

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luiy's curator insight, August 9, 3:11 AM

It’s hard to shake away the utterly depressing feeling that comes with news coverage these days. IDF and Hamas are at it again, a vicious cycle of violence, but this time it feels much more intense. While war rages on the ground in Gaza and across Israeli skies, there’s an all-out information war unraveling in social networked spaces.

 

Not only is there much more media produced, but it is coming at us at a faster pace, from many more sources. As we construct our online profiles based on what we already know, what we’re interested in, and what we’re recommended, social networks are perfectly designed to reinforce our existing beliefs. Personalized spaces, optimized for engagement, prioritize content that is likely to generate more traffic; the more we click, share, like, the higher engagement tracked on the service. Content that makes us uncomfortable, is filtered out.

Rescooped by Jean-Michel Livowsky from Complex World
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Computational Linguistics of Twitter Reveals the Existence of Global Superdialects

Computational Linguistics of Twitter Reveals the Existence of Global Superdialects | Intelligence | Scoop.it
The first study of dialects on Twitter reveals global patterns that have never been observed before.

Via Claudia Mihai
Jean-Michel Livowsky's insight:

Les bases d'un meta-langage universel ?

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Competitive Dynamics on Complex Networks

Competitive Dynamics on Complex Networks | Intelligence | Scoop.it
We consider a dynamical network model in which two competitors have fixed and different states, and each normal agent adjusts its state according to a distributed consensus protocol. The state of each normal agent converges to a steady value which is a convex combination of the competitors' states, and is independent of the initial states of agents. This implies that the competition result is fully determined by the network structure and positions of competitors in the network. We compute an Influence Matrix (IM) in which each element characterizing the influence of an agent on another agent in the network. We use the IM to predict the bias of each normal agent and thus predict which competitor will win. Furthermore, we compare the IM criterion with seven node centrality measures to predict the winner. We find that the competitor with higher Katz Centrality in an undirected network or higher PageRank in a directed network is most likely to be the winner. These findings may shed new light on the role of network structure in competition and to what extent could competitors adjust network structure so as to win the competition.

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Hidden scaling patterns and universality in written communication

Hidden scaling patterns and universality in written communication | Intelligence | Scoop.it
The temporal statistics exhibited by written correspondence appear to be media dependent, with features which have so far proven difficult to characterize. We explain the origin of these difficulties by disentangling the role of spontaneous activity from decision-based prioritizing processes in human dynamics, clocking all waiting times through each agent's ``proper time'' measured by activity. This unveils the same fundamental patterns in written communication across all media (letters, email, sms), with response times displaying truncated power-law behavior and average exponents near $$-${}\frac{3}{2}$. When standard time is used, the response time probabilities are theoretically predicted to exhibit a bimodal character, which is empirically borne out by our newly collected years-long data on email. These perspectives on the temporal dynamics of human correspondence should aid in the analysis of interaction phenomena in general, including resource management, optimal pricing and routing, information sharing, and emergency handling.

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Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Le vertige technologique masque un déficit majeur d'Innovation organisationnelle

Le vertige technologique masque un déficit majeur d'Innovation organisationnelle | Intelligence | Scoop.it
Les objets technologiques mettent parfois des années pour révéler les domaines sur lesquels ils agiront et quelles nouvelles applications ils (...)

Via Aurélie Thev'
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Stéphane NEREAU's curator insight, July 28, 2:56 AM

add your insight...

Rescooped by Jean-Michel Livowsky from Complex World
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The 1% of scientific publishing

The 1% of scientific publishing | Intelligence | Scoop.it
Only a handful of researchers manage to publish one or more papers per year

Via Claudia Mihai
Jean-Michel Livowsky's insight:

Pourquoi le 1 %...

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Rescooped by Jean-Michel Livowsky from Complex World
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The Network Structure of Jewish Texts

The Network Structure of Jewish Texts | Intelligence | Scoop.it

Sefaria, is an open source database of Jewish texts and recently, Liz Shayne of UC Santa Barbara attempted to extract the relationships between the texts found there—annotations, allusions, and such—and visualize them. Unfortunately, Sefaria is very much a work-in-progress, so conclusions are likely to early to be drawn, but here is a quick visualization that Shayne performed of the complete network of more than 100,000 nodes and 87,000 links


Via Claudia Mihai
Jean-Michel Livowsky's insight:

Une structure neuronale dans l'organisation des textes sacrés ?

Voilà qui me réconcilie avec la religion !

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Rescooped by Jean-Michel Livowsky from Intelligence stratégique et économique
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Espionnage économique : la guerre des services secrets

Espionnage économique : la guerre des services secrets | Intelligence | Scoop.it
Infiltrer des sociétés de hautes technologies pour voler des secrets industriels, espionner pour mieux gagner des marchés : la guerre économique est bel et bien lancée ! Le journal de l’Intelligence Economique d’Ali Laïdi a enquêté sur les heures les...

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