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March 2010
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dynamical system

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During World Mathematical Year 2000 a sequence of posters were displayed month by month in the trains of the London Underground aiming to stimulate, fascinate - even infuriate passengers! Keith Moffatt tells us about three of the posters from the series.

Tags: Fibonacci number : chaos : differential equation : golden ratio : fluid mechanics : advection-diffusion equation : meteorology : Lorenz equations : butterfly effect : strange attractor : dynamical system


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You've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.

Tags: fractal : dynamical system : complex number : Mandelbrot set : Julia set : complex dynamics


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Images based on Lyapunov Exponent fractals are very striking. Andy Burbanks explains what Lyapunov Exponents are, what the much misunderstood phenomenon of chaos really is, and how you can iterate functions to produce marvellous images of chaos from simple mathematics.

Tags: mathematics and art : fractal : chaos : dynamical system : logistic map : iteration : error : Lyapunov Exponent : orbit : bifurcation


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The 2006 Abel prize celebrates the mathematician who helped make mp3s possible.

Tags: Fourier analysis : Abel prize : dynamical system


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Some news on Julia sets

Tags: fractal : dynamical system : complex number : Mandelbrot set : Julia set : complex dynamics


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A mathematical model evaluates responses to epidemics

Tags: fractal : dynamical system : Mandelbrot set : Julia set


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In the last issue Lewis Dartnell explained how chaos on the brain is not only unavoidable but also beneficial. Now he tells us why the same is true for our solar system and sends us on a journey that has been travelled by comets and spacecraft.

Tags: space exploration : gravity : chaos : astronomy : dynamical system : calculus : physics : Newton : Euler : copernicus : 3-Body Problem : analysis : lagrange point : Manifold : centripetal force : Lagrange : Poincare : Interplanetary Superhighway