Howell dedicated her graduate work as well as the next 15 years to that study, using techniques from a branch of mathematics
called dynamical systems — or, more dramatically, chaos theory.
But in an animal study published in Nature in 2012, Shenoy and his colleagues reported finding that much more is going on: Motor cortical neurons work as part of an interconnected circuit — a so -
called dynamical system — to create rhythmic patterns of neural activity.
Not exact matches
This relates to the sensitive dependence of non-linear
systems to the initial values of its
dynamical parameters (often referred as the «butterfly effect,» a phrase coined by the meteorologist E.N. Lorenz).7 In such a
system, even the smallest change (or uncertainty) of initial values of a non-linear or dynamically coupled
system, show long - term divergence of its phase - map trajectories, leading to the formation of a basin of so -
called «strange attractors.»
Belbruno masterminded a new approach to space travel by finding low - energy pathways using unstable chaos and
dynamical systems,
called weak stability boundary theory.
Basing on a mathematical idea about the so -
called strange nonchaotic attractor (SNA) in the quasi-periodically forced
dynamical systems, the currently available re-analyses data are considered.
While these internal neural processes are being observed, the researchers learn more about how the neural
system operates through a method
called perturbation, which is intentionally disrupting the
dynamical neural
system in precise ways in order to better understand the underlying principles that control its activity.
This mechanism is energy dissipation and the restricted volume where the
system must live forever (or at least untill its
dynamical laws don't change) is
called attractor.
If numerical methods can not accurately compute the solution of the basic
dynamical system (so
called dynamical cores) either because of ill posedness, fast exponential growth, or inadequate resolution to properly resolve the rapid nonlinear cascade of the vertical component of vorticity (requires unphysically large dissipation to overcome), then adding necessarily unphysical parameterizations to overcome these deficiencies can not lead to a correct physical solution as the resolution is reduced.