Given the collective paleoclimatological evidence from the Paleogene, and a little knowledge
of nonlinear dynamical systems, it seems strange to think that anyone who understands these matters would think their heuristics and experience would continue to apply in a world which is no longer as stable as it once was.
Such chaotic behaviour may limit the predictability
of nonlinear dynamical systems.»
Obtained the Oozy Technical Achievement Honor for the involvement
of nonlinear dynamical system analysis
Not exact matches
«A
dynamical system such as the climate
system, governed by
nonlinear deterministic equations (see Nonlinearity), may exhibit erratic or chaotic behaviour in the sense that very small changes in the initial state
of the
system in time lead to large and apparently unpredictable changes in its temporal evolution.
The three - body problem is
of course at the center
of Chaos theory and climate research has long acknowledged that the climate is a
dynamical system existing on the edge
of spatio - temperal chaos and that the complexity
of multiple interacting positive and negative feedbacks make it so particularly complex and
nonlinear.
Web, I say again as I said many times before that the modern view
of mechanics is that
nonlinear dynamical systems provide a deterministic method that has a lot
of evidence that it does model turbulence and perhaps includes statistical physics.
Hypothesis I derives from the 1D energy balance, thermodynamic view
of the climate
system, whereas Hypothesis III derives from a
nonlinear dynamical system characterized by spatiotemporal chaos.
The Earth is an open highly multivariate
dynamical nonlinear non-Markovian chaotic driven
system, and statements like «1 to 1.5 degrees
of warming» are themselves consequently moderately suspect.
The cornerstone is the theory
of random
dynamical systems, which allows us to probe the detailed geometric structure
of the random attractors associated with
nonlinear, stochastically perturbed
systems.
Aires, F., and W.B. Rossow, 2003: Inferring instantaneous, multivariate and
nonlinear sensitivities for the analysis
of feedback processes in a
dynamical system: The Lorenz model case study.
Role
of the hydrological cycle in regulating the planetary climate
system in a simple
nonlinear dynamical model.
It is my opinion, based on my familiarity with
nonlinear dynamical systems and with the physics driving these mechanisms, that temperature increases
of this magnitude will not stabilize at these levels as the feedbacks kick in.
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.