Dynamical Systems

A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a lake.At any given time a dynamical system has a state given by a set of real numbers (a vector) that can be represented by a point in an appropriate state space (a geometrical manifold). Small changes in the state of the system create small changes in the numbers. The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state.
Posts about Dynamical Systems
  • 2015 Breakthrough Prizes Winners Announced

    … Ruvkun, Massachusetts General Hospital and Harvard Medical School, for the discovery of a new world of genetic regulation by microRNAs, a class of tiny RNA molecules that inhibit translation or destabilize complementary mRNA targets. Each received a $3 million award. Jennifer Doudna, University of California Berkeley, Howard Hughes Medical Institute…

    David Cohen/ AllFacebookin Google- 10 readers -
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23andme Algebraic Geometry Benedict Cumberbatch Brian P. Schmidt Bruno Leibundgut C. David Allis Cameron Diaz Carl R. Pennypacker Conicet Craig J. Hogan David Reiss Discovery Channel Donald E. Groom Eddie Redmayne Emmanuelle Charpentier Fundamental Physics Gary Ruvkun Google Greg Aldering Harvard Medical School Heidi J.M. Newberg Helmholtz Center For Infection Research High Z Supernova Team Horacio Casini Howard Hughes Medical Institute Institut Des Hautes études Scientifiques Institute For Advanced Study Instituto Balseiro Isobel M. Hook Jack Ma Jacob Lurie Harvard University Jason Spyromilio Jennifer Doudna John Tonry Jon Hamm Joseph Fourier University Julia C. Lee Julia Milner Kate Beckinsale Kyoto University Lawrence Berkeley National Labaratory Lawrence Berkeley National Laboratory Marina Huerta Mark M. Phillips Mark Zuckerberg Massachusetts General Hospital Mathematics Matthew Y. Kim Maxim Kontsevich Mike Irwin Natalia Toro Nelson J. Nunes Nicholas B. Suntzeff Nicholas Walton Nino Panagia Patricia G. Castro Perimeter Institute Peter Challis Peter M. Garnavich Peter Nugent Philip C. Schuster Pilar Ruiz Lapuente Priscilla Chan R. Chris Smith Reynald Pain Richard G. Mcmahon Richard Muller Richard S. Ellis Richard Taylor Robert A. Knop Robert P. Kirshner Robert Quimby Ron L. Gilliland Saul Perlmutter Saurabh Jha Science Channel Sean Hartnoll Sebastien Fabbro Sergey Brin Seth Macfarlane Shinsei Ryu Simon Donaldson Space Telescope Science Institute Stanford University Stony Brook University Supernova Cosmology Project Susana Deustua Tadashi Takayanagi Television Terence Tao The Rockefeller University Thomas Matheson Ucla Umeå University Universidad Nacional De Cuyo University Of California Berkeley University Of California Los Angeles Victor Ambros Warrick J. Couch Yuri Milner