Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations: fractal dimensions and infinitely many attractors /

Palis Júnior, Jacob

Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations: fractal dimensions and infinitely many attractors / J. Palis, FlorisTakens - x, 234 páginas: ilustraciones - Cambridge studies in advanced mathematics ; 35 .

Incluye apéndices Incluye referencias bibliográficas e índice

0.- Hyperbolicity, stability and sensitive xhaotic dynamical systems -- 1.- Examples of homoclinic orbits in dynamical systems -- 2.- Dynamical consequences of a transverse homoclinic intersection -- 3.- Homoclinic tangencies: cascades of bifurcations, scaling and quadratic maps -- 4.- Cantor sets in dynamics and fractal dimensions -- 5.- Homoclinic bifurcations: ractal dimensions ans mesure of bifurcation sets -- 6.- Infinitely many sinks and homoclinic tangencies -- 7.- Overview, conjectures and problems - a theory of homoclinic bigurcations - strange attractors.-

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