Epstein Secrets

ciers, people such as Pettis, Shiller, Smithers, Cooper, Pepper & Oliver have then made insightful attemp

reverse conditions and return to the start point. Such phase change behaviour can be modelled within non-linear dynamics and chaotic systems, see Strogatz for example [Strogatz 2000]. It remains the case that claims that equations (4.5h) and (4.6g) are equations of state, rather than simple accounting

pproaches, with lots of practical examples, is 'Nonlinear dynamics and Chaos: with Applications to Physics, Biology, Chemistry and Engineering', by Strogatz [Strogatz 2000], a good alternative is Hirsch, Smale & Devaney [Hirsch et al 2003]. Prior to either of these books, chapter eight of Keen gives a ve

t dissimilar (and a bit more fun) than the diagrams found in comparative statics. Jacobian matrices, for example, appear a third of the way through Strogatz. Although dynamic systems can be very complex and are often mathematically insoluble, there are standard approaches to analysing these systems, and

lage surrounded on all sides by fire, of afterwards when you discover there isn't a tree standing for twenty miles in any direction. In this light, Cooper's suggestion that central banks should aim for a pattern of small business cycles is eminently sensible. Simply reducing leverage and excess liquidi

mp/econophysics/abstracts.html Clementi F, Gallegati M, 2005. Power law tails in the Italian personal income distribution. Physics A 350, 427-438. Cooper G, 2008. The origin of financial crises: Central banks, credit bubbles and the efficient market fallacy. London: Harriman House. Corbett _I, Jenkinso

iting to keep things easy to follow. An alternative work by Hirsch, Smale & Devaney is also very good [Strogatz 2000, Hirsch et al 2003]. Following Strogatz or Hirsch, the works by either Britton or van den Berg move into the mathematics of more complex biological systems, where the Lotka-Volterra forms

good brief introduction to chaotic systems, Ruhla also gives an excellent introduction with a little more maths. 'Nonlinear Dynamics and Chaos' by Strogatz is an extraordinarily well written book, giving a full understanding of highly complex systems, including the mathematics, while using lots of clear

es the universal parameter- dependent coding language and capacity of nonlinear systems. In the early 1960’s, a group around Stan Ulam at Los Alamos (Cooper, 1987) used one of the early “high powered” computers, MANIAC Il, to iterate (letting the output of the action of a discrete time function serve as i

a discontinuous and qualitative change in the dynamical (time-dependent) pattern of the observable (Guckenheimer and Holmes, 1993; Wiggens, 1990; see Strogatz, 1994, for a particularly intuitive description). Qualitative here means how the dynamics of the trajectory appear as a geometric-topological (relati