EntityQ557781· pop 11· linked from 115 articleshorseshoe mapSign in to saveclass of chaotic maps of the square into itselfConnectionsdynamical systemEntitystable manifoldEntitymathematicsEntityHenri PoincaréEntitydigital object identifierEntityfractalEntityBenoit MandelbrotEntitychaos theoryEntityQ180686Entityweather forecastingEntitybutterfly effectEntitybibcodeEntityintersectionEntityQ118398Entitythree-body problemEntityAleksandr LyapunovEntityEdward Norton LorenzEntityMary CartwrightEntityStephen SmaleEntitycomplexityEntityCategoriesChaotic mapsDiffeomorphisms