Synchronicity In Chaos A study of how a population of fireflies with different frequencies synchronise their frequencies over time Ananya Kaushik BSc. Mathematics 3rd Year SNU ID- AAA0625 Introduction I have picked the topic synchronization in chaos, more specifically I am a studying synchronicity in fireflies. A phenomenon observed by Mirollo and Strogatz [1]in their paper ‘Synchronization of Pulse- Coupled Biological Oscillators’ is that when we see a swarm of fireflies, which start out with different frequencies of blinking, after a period of time, their frequencies get synchronized, ie, they all start blinking or glowing together. In Strogatz paper, he has discussed various applications of this …show more content…
Instead of a line, I considered them to be on a circle so the frequency of the last firefly was updated with the frequency of the first firefly and the cycle could continue for any number of iterations till the frequencies of all the fireflies had very little difference between them. It was made clear in the book that there is a threshold for which synchronization would occur and if the difference was greater than this, the adjacent firefly would fail to catch up and synchronization would not occur. The last paper I studied, generalized this for an even larger number of fireflies and the updation scheme was such that the frequency of one chosen firefly was not only dependent on its neighbor but a number of neighbours on a grid. The program is not finished and is still under construction to make it as efficient and effective as possible. I have attached the draft of the program. Future work- As suggested at the end of Strogatz paper and as done in the paper by Pan-jun Kim, I would like to find out what happens in a lattice of fireflies of any number n. I would also like to understand what would happen if an acceleration term was added to the updation
chaos 19. enzyme- a type of protein that allows a reaction to go faster by lowering the amount of activation energy for a reaction to
This is a fiction book based on the historical facts about the Mirabal sisters, Trujillo and the Dominican Republic. Just imagine yourself being in the country which is ruled by the dictator. Would you stand up for your country or would you just be a traditional woman? In this, In the Time of Butterflies book by Julia Alvarez, Minerva led the anti- Trujillo movement and tried to get the independence, after she found out how horrible he is.
Lighting bugs, firedevils, and fireflies are all names to describe a flying bug capable of glowing in the dark. In literature these insects are often used to symbolize the simpler things in life, enjoying moments and all that comes with them. In the excerpt from Tending Roses this idea is also present through the story inside the journal titled “When Did the Fireflies Stop Dancing”. When the main character Katie reads this journal she is shown the life and death of her grandmother’s dreams and desires, she is reminded to stop and look for fireflies.
According to Rafael Trujillo, “He who does not know how to deceive does not know how to rule(azquotes)”. This explains the mindset of the dictator of the Dominican Republic shown in the book The Time Of The Butterflies by Julia Alvarez. In this historical fiction book it explain the story of the Mirabal sister in there fight to stop the oppression of Trujillo. It goes though there life story and gives insight to what the conditions were. Trujillo and the Dominican Republic government oppressed the citizens by arresting if you resist them, Machiavellian control and the deplorable conditions these people lived in.
In his essay "The Myth of the Ant Queen," Steven Johnson seemingly disregards the notion of pacemaker, labeling it as fake and a myth. Johnson debunks the idea of a top down leadership and sheds light on the emergence of the self-organizing systems in our society. Johnson's way of perceiving "pacemaker" seems too narrow, as he mentions that a pacemaker is a central authority figure. Although Johnson's perception is correct to some extent, in a broader sense, not only is it a authoritative figure but also it is also there to ensure a sense of positivity within us, regardless of whether being found at the top or bottom. However, through Oliver Sacks' essay "The Mind's Eye," we are able to complicate the argument presented by Johnson, as Sacks'
Initially, we can see through the actions of the characters of Jackson’s and Benet’s book that the chaos is present. In fact, the deaths in both stories represent chaos. Jackson tells us in her book: one hanging on June , five on July 19,
In In The Time of the Butterflies, Julia Alvarez utilizes the power struggle between Trujillo, dictator of the Dominican Republic in 1994 and the Mirabal sisters, who try to overthrow the government, as a means to demonstrate the power struggle the people faced during this time period of Trujillo’s reign. Trujillo is a man who thrives on power and put spies in place to make sure that none of the people were even hinting towards a revolt. When Papa makes a snide comment about Trujillo being a female ruler, in that moment, “the dark fills with spies who are paid to hear things and report them down at Security” (Alvarez 10). This was the beginning of the end of three out of the four Mirabal sisters. Trujillo posts his face on every newspaper, book cover, and anything that people commonly use in order to promote how great he is.
Firewing The novel “Firewing” by Kenneth Oppel is a good book for anyone aged between 8 and 88 because it contains a topic anyone can easily pick up. The main message is to be selfless and not question it and betray/bail on the person you are volunteering to help. The story started with Griffin & Luna beating their wings to stay airborne, they see a cave a cave they were told not to go into. Luna desperately begs Griffin to go in, he tries to tell her not too but she goes off anyway he follows her to make sure she is okay.
In this experiment, a virtual program designed to demonstrate the swimming of a virtual fish, was used. This program is called SWIMMY. SWIMMY was used in this experiment to determine the circuits that are used in the movement of an animal. This is done by presenting the neurons and the neural circuits in a body which can allow and show the movement of the fish’s tail virtually. The movement of the fish tail occurs by the activation of motor neurons.
Julia Alvarez’s In the Time of the Butterflies is a work of historical fiction set in the Dominican Republic that focuses on the four Mirabal sisters who bond together to rebel against the corrupt leader of their country, Rafael Trujillo. The four Mirabal sisters, Patria, Dedé, Minerva, and María Teresa form closer relationships with each other as they figure out a way to bring down the tyranny of Rafael Trujillo. Although they have a mutual goal, each of the Mirabal sisters has different feelings and thoughts throughout this time period. The theme of coming-of-age and identify is best exemplified through the character of María Teresa, known as Mate, through the ways she matures throughout the novel and becomes her own person who stands up for what she believes in.
In a time where a trauma, calamity, or another kind of unfortunate event is evident or even expected, it is often said that waiting is the hardest part. In a time where death is constantly just around the corner, the most difficult challenge one must brave is to know it will eventually happen, but never know precisely when. In Elie Wiesel’s Night, he employs the motif of selection day in order to depict the constant primitivism and viciousness of the Holocaust as a whole, conveying a tone of desperation as Elie struggles to conserve the unbreakable bond he and his father share, with the fear of getting separated looming just behind. Wiesel employs the motif of the berating and relentless selection process to demonstrate the endless pattern
It's like lightning without the thunder. It's the “magic” that these microscopic creatures portray that make them so fascinating. How could they possibly so intriguing? At first glance, “The Lighting Bugs Are Back” by Anna Quindlen appears to be about how people compress the complexities of their lives into simplistic and nostalgic terms. But closer inspection reveals that the author is encouraging the reader to allow simple fragmented memories to trigger a wave of nostalgia.
More than 12,000 children under the age of 15 passed through the Terezin Concentration Camp, also known by its German name of Theresienstadt, between the years 1942 and 1944. Out of all the children, more than 90% lost their lives during the time of the Holocaust. Additionally, throughout this time, children would write poetry describing how they would like to be free and their faith in believing they would one day be free again and see the light of the sun. They would also write about the dreadful experiences they suffered through. To add on, the poet’s word choice helps to develop the narrator’s point of view.
As the source of the noises of his mind and the voices of projected reality are mostly unknown in the chaotic
Japanese Anime. It is arguably the most visually identifiable form of animation, with the Mickey Mouse of Disney and the Bugs Bunny of Looney Tunes. The style has grown from the early Disney-inspired animation to the form we recognize today, such as the Pokémon cartoon series and the critically-acclaimed Spirited Away (2001). But prior to these most recent anime cartoons, there was a realist animated movie, Grave of the Fireflies (1988). It’s a war film that follows similar events that the original author experienced during the end of World War II in 1945.