analyzing regime shifts

And one more discovery thanks to a brief foray into this unknown world of numbers.
I was interested in this Dali painting, and found more on it,
despite the fact that I have never understood the fascination with his bizarre surrealist work.
It was his last painting, painted in 1983.

Bask in this world for a good Sunday!

It bears repeating: what a world!

"The title, La queue d’aronde – Série des catastrophes, in English translates to The Swallow’s Tail – Series on Catastrophes. This painting is a depiction of one of the seven elementary catastrophes, the swallowtail. The shape of Dali’s Swallow’s Tail is taken right from Thom’s graph of the same title. You’ll notice that there is also a cello hidden in the left hand corner and the shapes of the instruments sound hole in red and black, which you could also associate with the integral symbol in calculus. Dali said himself that the catastrophe theory is, “the most beautiful aesthetic theory in the world.” To me, this painting is truly a lovely piece. It’s amazing how much science and art coalesce."

And another few explanations that caught my fancy:

In his 1979 speech, “Gala, Velázquez and the Golden Fleece”, presented upon his 1979 induction into the prestigious Académie des Beaux-Arts of the Institut de France, Dalí described Thom’s theory of catastrophes as ‘the most beautiful aesthetic theory in the world’. He also recollected his first and only meeting with René Thom, at which Thom purportedly told Dalí that he was studying tectonic plates; this provoked Dalí to question Thom about the railway station at Perpignan, France, which the artist had declared in the 1960s as the centre of the universe. Thom reportedly replied, “I can assure you that Spain pivoted precisely — not in the area of — but exactly there where the Railway Station in Perpignan stands today”. Dalí was immediately enraptured by Thom’s statement, influencing his painting Topological Abduction of Europe — Homage to René Thom, the lower left corner of which features Thom’s equation for the ‘swallow’s tail’, V = x5 + ax3 + bx2 + cx, an illustration of the graph, and the term ‘queue d’aronde’. The seismic fracture that transverses Topological Abduction of Europe reappears in The Swallow’s Tail at the precise point where the y-axis of the swallow’s tail graph intersects with the S-curve of the cusp.

” Salvador Dali inspires resilience research”
Dali’s 1983 painting, which was his last work before his death in 1989, was inspired by Rene Thoms catastrophe theory on abrupt behavioural changes.
The Dali painting captures the hysteresis curve, the very core of resilience thinking, illustrating flips from one basin of attraction to another, flips that may be irreversible or at least very difficult to reverse. Dali, deeply interested in chaos theory, used this curve in his last painting in 1983 to capture that he himself would soon be part of such a dramatic transition – from life to death, says Carl Folke, Scientific Director at Stockholm Resilience Centre.
He finds Dali’s painting to be an inspiration point for several aspects of resilience research:
The Dali painting is a source of inspiration and captures the integration of science and arts and the search for understanding the unexplored. The curve has also inspired research on social-ecological transitions, transformations and governance, all core areas for the Stockholm Resilience Centre, he says. 
The hysteresis curve has been applied in resilience work to analyze regime shifts or shifts between different basins of attraction like coral vs algal reefs, clear vs muddy lakes, grasslands vs shrub landscapes, shifts in ocean currents, regions like Sahara and the implications of such shifts for economics and policy. (Source)

via {samantha scibelli}

via {jung currents}