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A plot of Lorenz' strange attractor for values ρ=28, σ = 10, β = 8/3. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other.
Catastrophe theory studies dynamical systems that describe the evolution [5] of a state variable over time : ˙ = = (,) In the above equation, is referred to as the potential function, and is often a vector or a scalar which parameterise the potential function.
Balance of nature – superseded by catastrophe theory and chaos theory. Progression of atomic theory. Democritus, the originator of atomic theory, held that everything is composed of atoms that are indestructible. His claim that atoms are indestructible is not the reason it is superseded—as it was later scientists who identified the concept ...
Application of catastrophe theory in science has been characterized as a floating model. [6] Strategic vs. non-strategic. Models used in game theory are different in a sense that they model agents with incompatible incentives, such as competing species or bidders in an auction. Strategic models assume that players are autonomous decision makers ...
Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory; Brill–Noether theory; Catastrophe theory; Category theory; Chaos theory; Character theory; Choquet theory; Class field theory; Cobordism theory; Coding theory; Cohomology theory ...
Alabama entered the game as a 16.5-point favorite in the College Football Playoff rematch from a season ago, but the Tide was all discombobulated to start. The Tide punted after receiving the ...
The game script should remain relatively close, which benefits Bigsby. Tennessee’s defense has allowed over 90 rushing yards to the opposing lead back in three consecutive games. If nothing else ...
His books on catastrophe theory and on differential geometry and relativity are still in print after a third of a century. His academic career was carried out in a series of research centres, including Rio de Janeiro, Rochester NY, Porto, Geneva, Stuttgart, Charleston SC, Santa Cruz CA, Los Angeles CA, Pohang, Singapore, and Bangalore.