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Dynamics Of One-dimensional Maps
maps whose topological entropy is equal to zero (i.e., maps that have only cyeles of peÂ 2 riods 1,2,2 , ... ) are studied in detail and elassified. Various topological aspects of the dynamics of unimodal maps are studied in ChapÂ ter 5. We analyze the distinctive features of the limiting behavior of trajectories of smooth maps. In particular, for some elasses of smooth maps, we establish theorems on the number of sinks and study the problem of existence of wandering intervals. In Chapter 6, for a broad elass of maps, we prove that almost all points (with respect to the Lebesgue measure) are attracted by the same sink. Our attention is mainly focused on the problem of existence of an invariant measure absolutely continuous with respect to the Lebesgue measure. We also study the problem of Lyapunov stability of dynamical systems and determine the measures of repelling and attracting invariant sets. The problem of stability of separate trajectories under perturbations of maps and the problem of structural stability of dynamical systems as a whole are discussed in ChapÂ ter 7. In Chapter 8, we study one-parameter families of maps. We analyze bifurcations of periodic trajectories and properties of the set of bifurcation values of the parameter, inÂ eluding universal properties such as Feigenbaum universality.
Can I Carry Your Bags?
An irreverent, witty memoir from one of the most renowned sports journalists in the business
In nearly 25 years as a sports journalist for the Independent, Daily Telegraph, and The Sunday Times, Martin Johnson has covered sporting events all over the world, including cricket and tennis in Australia, golf in America, Formula One in Kuala Lumpur, boxing in Cairo, petanque in Gran Canaria, beach volleyball in Brazil, Olympics in Sydney, football in China, and rugby in South Africa.
Sounds like a nice job? You must be joking. Get the true story from sports journalism s equivalent of Victor Meldrew. Ever tried to get a phone call out of Nagpur? Make contact with the office from Norfolk Island? Trudged several miles up a Japanese mountain to watch Britain s No 1 woman skier plough straight through the first gate? Attempted to write a semi-coherent report after a night out with Ian Botham? Nearly frozen to death at a cricket match in New Zealand? Been hi-jacked in Moscow by a drunken Russian?
It s hell out there, says Martin, who makes out his case for a life of hardship, deprivation, and a breathless dedication to duty in the face of overwhelming odds. Frankly, however, we still think it reads more like the Life of Riley.
About the Author
Martin Johnson was born in Monmouthshire in 1949. He was Cricket Correspondent at The Independent for 10 years, Sports Writer at The Telegraph for 9 years, and is currently Sports Writer at the Sunday Times.