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And yet, nobody agrees on a clear and concise theoretical formalism with which to study complexity. The danger is therefore that complexity research may become unstructured or even misleading. For our purposes, complexity refers to the repeated application of simple rules in systems with many degrees of freedom that gives rise to emergent behaviour not encoded in the rules.

Self-organized criticality is a cooperative feature emerging from the repeated application of the microscopic laws of a system of interacting parts.

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This globally coherent pattern appears from the local interaction of the elements that makes up the system, thus the organization is achieved in a way that is parallel all elements act at the same time and distributed no element is a coordinator. The most robust and unambiguous examples of self-organizing systems are from the physics of non-equilibrium processes. Self-organization is also relevant in chemistry, where it has often been taken as being synonymous with self-assembly. The concept of self-organization is central to the description of biological systems, from the subcellular to the ecosystem level.

In physics, chemistry and biology self-organization occurs in open systems driven away from thermal equilibrium. The process of self-organization can be found in many other fields also, such as economy, sociology, medicine, technology. A profound articulator has been Stuart Kauffman, in his brilliant writings over some 40 years.

A small world network, where nodes represent people and edges connect people that know each other, captures the small world phenomenon of strangers being linked by a mutual acquaintance. Social networks, the connectivity of the Internet, and gene networks all exhibit small-world network characteristics. In particular, the discipline focuses on the collective behaviors that result from the local interactions of the individuals with each other and with their environment. Examples are colonies of ants and termites, schools of fish, flocks of birds, herds of land animals, along with some artifacts as robot motions.

Several books with this title give more technical detail, which stands as another excursion and apply of the generic CAS. The term was first used in by the German mycologist Heinrich Anton de Bary, who defined it as "the living together of unlike organisms. Some are obligate, meaning that both symbionts entirely depend on each other for survival, such as lichens which consist of a fungal and plant symbiont that cannot live on their own. Symbiotic relationships include those associations in which one organism lives on another ectosymbiosis, such as mistletoe , or where one partner lives inside the other endosymbiosis, such as lactobacilli and other bacteria in humans or zooxanthelles in corals.

Each mitochondria, spirochete, undulipodia, and so on bring a quality such as digestion or mobility. Search Natural Genesis for some writings.

It was founded and fostered from the s by Hermann Haken, a University of Stuttgart laser physicist. In its idiom, self-organization requires a 'macroscopic' system, consisting of many nonlinearly interacting subsystems. A Springer series in Synergetics has published dozens of technical volumes since A prime advocate and advancer is J.

Scott Kelso of Florida Atlantic University who has effectively applied it to dynamic systems in neuroscience. Symbiosis would be another take. Its archetypal attributes would be many interactive agents, scale-free networks, and nested self-organization. This is the grand goal and prize over the decades. This tower of fabel, whereof each vernacular phrase may express an organic essence and development, begs translation unto a familiar, meaningful human and earth account.

The effort diversified and morphed into technical and personal preferences and specialized detail, as listed above, facilitated by vast computer capacities not available earlier. Through the s and growing in intensity from , its worldwide scientific engagement can be seen to emphasize two main aspects.

One by one, the scientific study of natural and societal realms from cosmos to civilization, from astrophysics and genomics to psychology and economics, found these new approaches to bring heretofore elusive theoretical explanations, and went on to reinterpret their fields by such complexity concepts. Whether prairie ecology or financial market, protein web or neural architecture, each exhibited the dynamic, biological structure of a nested, repetitive, emergent self-organization.

Circa , writings on nonlinear systems began to cite and include both modes of a dynamical, recurrent complexity so obvious that it begged an inferred cause from which to arise. For one instance, a paper Collective Behavior in Animal Groups: Theoretical Models and Empirical Studies by Irene Giardina and associates at the University of Rome search contends that since starling flocks or tuna schools, and all animal communities, are so graced by a reciprocity of autonomous members in beneficial group formations, it clearly infers a generic physical origin.

In the same period, scientists began to realize that the separate fields of complexity studies and statistical physics were actually were studying the same phenomena albeit with different approaches and terminologies.

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But what is not yet seen and this site tries to document, more than a novel methodology is involved, rather a new kind of self-creative universe with dual domains of emergent phenotype development and immanent genetic-like source, regnant organic complexity and informed, stirring consciousness, is just now being discovered. This next section is the original introduction. Theorists in many fields are moving away from linear, reductionist, simple cause-effect models toward confronting the challenges of complex adaptive systems.

Such systems are found in fields as diverse as astrophysics and economics, cerebral neurobiochemistry and cognitive psychology. The same image recurs at each stage because everything arises from and epitomizes a singular, gender complementary source. The great project, then as now, is to realize that the world is distinguished and revealed by this innate property, that it comes with a code. A familiar icon is Yin and Yang, whose feminine and masculine principles animate a numinous creation.

This portal became lost and forgotten to the mechanical phase of science, which reduced nature to a bottom level arbiter. But within a humankind compass, the recognition of a multi-level, iterative progression is being achieved once again, this time with the temporal expanse of an evolutionary genesis.

What can move our current multiverse from unfathomable mystery to salutary understanding is to rediscover it is made to be knowable by this feature. Its latest version is facilitated via Rosetta-like translations, by the sciences of nonlinear, self-organizing complexity. These various theoretical and empirical advances are tabulated next, whose arcane terms are also in the Glossary. Nonequilibrium Thermodynamics. A theory of energy and information flow, usage, bifurcation and dissipation for open living systems.

Ilya Prigogine, et al Fractal Geometry. Nature is characterized by the same shapes and topologies with fractional dimensions at every scale. Benoit Mandelbrot Complex Adaptive Systems.

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Many agents neurons, people in constant local interaction, guided by a few algorithmic rules or agreed norms give rise to an emergent fluid order. As these systems proceed without centralized direction or set program, they arrange themselves into a nested scale of whole entities. Stuart Kauffman, et al Universality.

Concepts of the Cosmos

The same self-organized complex adaptive dynamics and network structures are found throughout nature from cosmos to civilization. Eugene Stanley, Mark Buchanan Modularity. The tendency of complex systems in evolution and development to form modular, symbiotic components and processes from genes to societies. Herbert Simon, Gunter Wagner Autopoiesis. A property of these bounded systems is that maintain themselves by referring to their own internal description.

Whereby complex dynamic systems tend to become poised at the edge of order and chaos. Per Bak Scale-Free Networks. Elemental nodes or hubs interconnected in similar ways across hierarchical levels from cellular metabolism to ecosystems and the Internet. A more physically based theory of a universal self-organization. Digital computer simulation of molecular, genetic, organic, social and economic societies and their evolution. A computational process based on simple, algorithmic rules which generates a repetitive self-assembly and complex emergent order. Evolving organisms and ecosystems consistently deploy into a scalar sequence and arrangement.

The brain is distinguished by multi-connected networks of neurons, synapses and axons in constant flux due to weighted inputs and experience. John Hopfield, Stephen Grossberg, et al Connectionism. A cognitive science theory of how neurons compute and handle cerebral information, variously known as parallel distributed processing or ANN.

David Rumelhart, et al Synchronicity. Phenomena from electrons and fireflies to planetary orbits synchronize in unison, which gives rise to a spontaneous order. Steven Strogatz Synergy. Cooperative combinations bring selective advantages for organisms, which goes on to spawn an increasing complexity. Peter Corning Living Systems Theory. An earlier insight whence some twenty metabolic, anatomical, cognitive and social features repeat in threaded-out layers from cells to global civilization. James G.

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Miller General Systems Theory. The pioneer witness of a dynamic natural and social realms most characterized by holistic interconnections.

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Ludwig von Bertalanffy, Ervin Laszlo As a preview, a good illustration is science itself. For example, research on the origin of life defines an exploratory niche or landscape to be inhabited and adapted to. At the outset, separate investigators study aspects such as early atmospheres or biomolecules. As these efforts increase in number, individual argument and dispute eventually proceeds toward the advantages of relational collaboration.

Experiment, theory and published papers are guided by standard protocol.