Sincepublicationofthefirsteditionofthisbookin1988,thestudyofdynamicalsystemsofinfinitedimensionhasbeenaveryactiveareainpureandappliedmathematics;newresultsincludethestudyoftheexistenceofattractorsforalargenumberofsystemsinmathematicalphysicsandmechanics;lowerandupperestimatesonthedimensionoftheattractors;approximationofattractors;inertialmanifoldsandtheirapproximation.Thestudyofmultilevelnumericalmethodsstemmingfromdynamicalsystemstheoryhasalsodevelopedasasubjectonitsown.Finally,intermediateconceptsbetweenattractorsandinertialmanifoldshavealsobeenintroduced,inparticulartheconceptofinertialsets.
本书为英文版。 |