Showing papers by "Steven H. Strogatz published in 2003"
Book•
01 Jan 2003
TL;DR: 'SYNC' as mentioned in this paper is a story of a DAZZLING KIND OF ORDER in the universe, the HARMONY that COMES from cyclists in SYNC.
Abstract: 'SYNC' IS A STORY OF A DAZZLING KIND OF ORDER IN THE UNIVERSE, THE HARMONY THAT COMES FROM CYCLES IN SYNC. THE TENDENCY TO SYCHRONIZE IS ONE OF THE MOST FAR- REACHING DRIVES IN ALL OF NATURE. IT EXTENDS FROM PEOPLE TO PLANETS, FROM ANIMALS TO ATOMS. IN 'SYNC' PROFESSOR STEVEN STROGATZ CONSIDERS A RANGE OF APPLICATIONS - HUMAN SLEEP AND CIRCADIAN RHYTHMS, MENSTRUAL SYNCHRONY, INSECT OUTBREAKS, SUPERCONDUCTORS, LASERS, SECRET CODES, HEART ARRHYTHMIAS AND FADS - CONNECTING ALL TRHOUGH AN EXPLORATION OF THE SAME MATHEMATICAL THEME: SELF- ORGANISATION, OR THE SPONTANEOUS EMERGENCE OF ORDER OUT OF CHAOS. FOCUSED ENOUGH TO PRESENT A COHERENT WORLD UNTO THEMSELVES, STROGATZ'S CHOSEN TOPICS TOUCH ON SEVERAL OF THE HOTTEST DIRECTIONS IN CONTEMPORARY SCIENCE.
1,378 citations
TL;DR: A simple model of language competition is developed that explains historical data on the decline of Welsh, Scottish Gaelic, Quechua, and other endangered languages and a linguistic parameter that quantifies the threat of language extinction can be derived.
Abstract: Thousands of the world's languages are vanishing at an alarming rate, with 90% of them being expected to disappear with the current generation1. Here we develop a simple model of language competition that explains historical data on the decline of Welsh, Scottish Gaelic, Quechua (the most common surviving indigenous language in the Americas) and other endangered languages. A linguistic parameter that quantifies the threat of language extinction can be derived from the model and may be useful in the design and evaluation of language-preservation programmes.
501 citations
TL;DR: A stability criterion for the synchronous state in networks of identical phase oscillators with delayed coupling is derived and any network in which each oscillator receives delayed signals from k others is considered.
Abstract: We derive a stability criterion for the synchronous state in networks of identical phase oscillators with delayed coupling. The criterion applies to any network (whether regular or random, low dimensional or high dimensional, directed or undirected) in which each oscillator receives delayed signals from k others, where k is uniform for all oscillators.
244 citations
149 citations