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RESEARCH  chaos architecture

Structures that are created by its inhabitants that evolve in a fluid manner. Where need addresses form and resultant structure. A system of material connections create a distinct form limited to it's own constraints. By allowing an additive form to be modified in time, it adapts to the needs of the inhabitants.

A dissipative system that is self-organized can create a substantial structure with a few parts. By initiating a chaotic system, the structure develops multiple triangulated connections that are independent of the entire system. Removal of individual structural members do not affect the remaining structure. The redundancy in connections make the structure even stronger. The chaotic system allows for adaptive growth in any direction as seen necessary. Once the chaotic program has been introduced, the resultant forms that become attached to it must adapt to the randomized system. As this system grows, the complexity and organic quality is expressed into the new growth.

chaos architecture is
like a seed whose message is
a vivid demarcation of chaotic organization
made of organic forms that demand attention to a natural aesthetic
as a reflection of the human mind
which too is a labyrinth of complex correlations within itself.
by building these forms, a connection is made between nature, and the human mind.
we can better understand what is natural about our mind and bodies.
by existing within these structures, we harmonize with the complexity that feels natural to us.
similar to the experience of being in nature, which brings stillness, peace and delight.

Architecture Of Noise

many parts in intricate arrangement

a condition of numerous elements in a system and numerous forms of relationships among the elements

Weaver's view, complexity comes in two forms: disorganized complexity, and organized complexity. [2] Weaver’s paper has influenced contemporary thinking about complexity. [3]

The approaches which embody concepts of systems, multiple elements might be summarized as implying that complexity arises from the number of distinguishable relational regimes (and their associated state spaces) in a defined system.

 

Mega structures that define the new super scale that cities on earth and in orbit that would be constructed of autopoietic

 

Systems theory
From Wikipedia, the free encyclopedia

Systems theory is an interdisciplinary field of science and the study of the nature of complex systems in nature, society, and science. More specificially, it is a framework by which one can analyze and/or describe any group of objects that work in concert to produce some result. This could be a single organism, any organization or society, or any electro-mechanical or informational artifact. Systems theory as a technical and general academic area of study predominantly refers to the science of systems that resulted from Bertalanffy's General System Theory (GST), among others, in initiating what became a project of systems research and practice. It was Margaret Mead and Gregory Bateson who developed interdisciplinary perspectives in systems theory (such as positive and negative feedback in the social sciences).

Complex adaptive systems
Main article: Complex adaptive systems
Complex adaptive systems are special cases of complex systems. They are complex in that they are diverse and made up of multiple interconnected elements and adaptive in that they have the capacity to change and learn from experience. The term complex adaptive systems was coined at the interdisciplinary Santa Fe Institute (SFI), by John H. Holland, Murray Gell-Mann and others.
CAS ideas and models are essentially evolutionary, and they take ground in the modern biological views on adaptation and evolution. Accordingly, the theory of complex adaptive systems bridges developments of the system theory with the ideas of 'generalized Darwinism', which suggests that Darwinian principles of evolution are capable to explain a range of complex material phenomena, from cosmic to social objects.
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Dissipative system
A dissipative system (or dissipative structure) is a thermodynamically open system which is operating far from thermodynamic equilibrium in an environment with which it exchanges energy and matter.

A dissipative system is characterized by the spontaneous appearance of symmetry breaking (anisotropy) and the formation of complex, sometimes chaotic, structures where interacting particles exhibit long range correlations. The term dissipative structure was coined by Belgian scientist Ilya Prigogine, who pioneered research in the field and won the Nobel Prize in Chemistry in 1977.

Simple examples include convection, cyclones and hurricanes. More complex examples include lasers, Bénard cells, the Belousov-Zhabotinsky reaction and at the most sophisticated level, life itself.
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Self-organization
From Wikipedia, the free encyclopedia

Self-organization is a process of attraction and repulsion in which the internal organization of a system, normally an open system, increases in complexity without being guided or managed by an outside source. Self-organizing systems typically (though not always) display emergent properties.
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Autopoiesis
From Wikipedia, the free encyclopedia

utopoiesis literally means "auto (self)-creation" (from the Greek: auto - αυτό for self- and poiesis - ποίησις for creation or production), and expresses a fundamental dialectic between structure and function. The term was originally introduced by Chilean biologists Humberto Maturana and Francisco Varela in 1973:
"An autopoietic machine is a machine organized (defined as a unity) as a network of processes of production (transformation and destruction) of components which: (i) through their interactions and transformations continuously regenerate and realize the network of processes (relations) that produced them; and (ii) constitute it (the machine) as a concrete unity in space in which they (the components) exist by specifying the topological domain of its realization as such a network." (Maturana, Varela, 1980, p. 78)
"[…] the space defined by an autopoietic system is self-contained and cannot be described by using dimensions that define another space. When we refer to our interactions with a concrete autopoietic system, however, we project this system on the space of our manipulations and make a description of this projection." (Maturana, Varela, 1980, p. 89)
The term autopoiesis was originally conceived as an attempt to characterize the nature of living systems. A canonical example of an autopoietic system is the biological cell. The eukaryotic cell, for example, is made of various biochemical components such as nucleic acids and proteins, and is organized into bounded structures such as the cell nucleus, various organelles, a cell membrane and cytoskeleton. These structures, based on an external flow of molecules and energy, produce the components which, in turn, continue to maintain the organized bounded structure that gives rise to these components. An autopoietic system is to be contrasted with an allopoietic system, such as a car factory, which uses raw materials (components) to generate a car (an organized structure) which is something other than itself (the factory).
More generally, the term autopoiesis resembles the dynamics of a non-equilibrium system; that is, organized states (sometimes also called dissipative structures) that remain stable for long periods of time despite matter and energy continually flowing through them. From a very general point of view, the notion of autopoiesis is often associated with that of self-organization. However, an autopoietic system is autonomous and operationally closed, in the sense that every process within it directly helps maintaining the whole. Autopoietic systems are structurally coupled with their medium in dialect dynamic of changes that can be recalled as sensory-motor coupling. This continuous dynamic is considered as knowledge and can be observed throughout life-forms.
An application of the concept to sociology can be found in Luhmann's Systems Theory.
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Emergence
From Wikipedia, the free encyclopedia

In philosophy, systems theory and the sciences, emergence refers to the way complex systems and patterns arise out of a multiplicity of relatively simple interactions. Emergence is central to the theories of integrative levels and of complex systems.

For other uses see Emergence (disambiguation) and Emergency.
See also the closely related articles: Spontaneous order and self-organization.

A termite "cathedral" mound produced by a termite colony: a classic example of emergence in nature.
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Dynamical system
From Wikipedia, the free encyclopedia

The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake.
A dynamical system has a state determined by a collection of real numbers, or more generally by a set of points in an appropriate state space. Small changes in the state of the system correspond to small changes in the numbers. The numbers are also the coordinates of a geometrical space—a manifold. The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state. The rule is deterministic: for a given time interval only one future state follows from the current state.

This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the use of dynamical systems in cognitive science, see Dynamical system (cognitive science).

The Lorenz attractor is an example of a non-linear dynamical system. Studying this system helped give rise to Chaos theory.
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Chaos theory
From Wikipedia, the free encyclopedia

In mathematics, chaos theory describes the behavior of certain dynamical systems – that is, systems whose state evolves with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, which manifests itself as an exponential growth of perturbations in the initial conditions, the behavior of chaotic systems appears to be random. This happens even though these systems are deterministic, meaning that their future dynamics are fully defined by their initial conditions, with no random elements involved. This behavior is known as deterministic chaos, or simply chaos.
Chaotic behaviour is also observed in natural systems, such as the weather. This may be explained by a chaos-theoretical analysis of a mathematical model of such a system, embodying the laws of physics that are relevant for the natural system.

Fractal fern created using chaos game. Natural forms (ferns, clouds, mountains, etc.) may be recreated through an Iterated function system (IFS).

Turbulence in the tip vortex from an airplane wing. Studies of the critical point beyond which a system creates turbulence was important for Chaos theory, analyzed for example by the Soviet physicist Lev Landau who developed the Landau-Hopf theory of turbulence. David Ruelle and Floris Takens later predicted, against Landau, that fluid turbulence could develop through a strange attractor, a main concept of chaos theory.


Bifurcation diagram of a logistic map, displaying chaotic behaviour past a threshold

 
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