Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2004-08-25
Nonlinear Sciences
Adaptation and Self-Organizing Systems
38 pages, 8 figures
Scientific paper
In this paper we employ the topological-multifuncoctional mathematical language and techniques of non-injective illposedness developed earlier to formulate a notion of ChaNoXity -- Chaos-Nonlinearity-Complexity -- in describing the specifically nonlinear dynamical evolutionary processes of Nature. Non-bijective ill-posedness is the natural mode of expression for chanoxity that aims to focus on the nonlinear interactions generating dynamical evolution of real irreversible processes. The basic dynamics is considered to take place in a matter-antimatter kitchen space of Nature that is inaccessible to both the functional matter and multifunctional antimatter components. These component spaces are distinguished by opposing evolutionary directional arrows. Dynamical equilibrium is considered to be represented by such competitively collaborating stasis states of the matter-antimatter constituents of Nature.
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