“when she thought it over afterwards it occurred to her that she ought to have wondered at this,
but at the time it all seemed quite natural” ― Lewis Carroll, Alice in Wonderland & Through the Looking Glass
but at the time it all seemed quite natural” ― Lewis Carroll, Alice in Wonderland & Through the Looking Glass
STRANGE ATTRACTORS
A great metaphor for the unquestionable synchronisities and mysteries that come into my orbit.
People, Places & ProjectsAround nuclear physics, weapons, energy fractals, art and science. Nuclear to Nano -
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Synchronicity & PrecognitionPreviewing and taking inventory.
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Fractals & Forensics in Modern ArtLawrence Livermore Labs to Jacson Pollock
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Physicality & OtherwiseNear-death following years of illness and prior to surgery.
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Chaos - In Practice, Not TheoryExperimental solutions to mysterious situations.
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Energetic EntanglementsExperiential options
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Aura Evidence in Emotional HealingAura photography of a year long 'test' of clearing one's energy field.
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Creatively Influenced, Scientifically InclinedWhere art and science collide.
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Chaos SimplifiedDynamical systems in the physical world tend to arise from dissipative systems: if it were not for some driving force, the motion would cease. Dissipation may come from internal friction, thermodynamic losses, or loss of material, among many causes. The dissipation and the driving force tend to balance, killing off initial transients and settle the system into its typical behavior. The subset of the phase space of the dynamical system corresponding to the typical behavior is the attractor, also known as the attracting section or attractee. For example, two or three positional coordinates for each of one or more physical entities.
If the evolving variable is two- or three-dimensional, the attractor of the dynamic process can be represented geometrically in two or three dimensions, (as for example in the three-dimensional case depicted to the right). An attractor can be a point, a finite set of points, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor. Describing the attractors of chaotic dynamical systems has been one of the achievements of chaos theory. A trajectory of the dynamical system in the attractor does not have to satisfy any special constraints except for remaining on the attractor, backward and forward in time. The trajectory may be periodic or chaotic. A fun introduction to Chaos Theory |
A series of films about dynamical systems, the butterfly effect and chaos theory, intended for a wide audience.
Chapters 1-9 on YouTube. Click on chapter titles and it will open for you in a new window. Chapter 1 Motion and Determinism Chapter 2 Vector fields - The Lego Race Chapter 3 Mechanics - The apple and the Moon Chapter 4 Oscillations - The Swing Chapter 5 Billiards - Duhem's bull Chapter 6 Chaos and the horseshoe - Smale in Copacabana Chapter 7 Strange Attractors - The Butterfly Effect Chapter 8 Statistics - Lorenz' mill Chapter 9 Chaotic or not - Research today |
Syn·chro·nic·i·ty
noun syn·chro·nic·i·ty
1 : the quality or fact of being synchronous
2 : the coincidental occurrence of events and especially psychic events (as similar thoughts in widely separated persons or a mental image of an unexpected event before it happens) that seem related but are not explained by conventional mechanisms of causality —used especially in the psychology of C. G. Jung
noun syn·chro·nic·i·ty
1 : the quality or fact of being synchronous
2 : the coincidental occurrence of events and especially psychic events (as similar thoughts in widely separated persons or a mental image of an unexpected event before it happens) that seem related but are not explained by conventional mechanisms of causality —used especially in the psychology of C. G. Jung
