Архив статей журнала
The paper considers the process when a self-organized system is reaching its evolutionary maturity. The results obtained can be applied to explain orbital characteristics for five planets of the solar system. The system does not possess specifics of natural objects and is regarded as part of a structure that has borders. In its turn, the structure is understood as a network consisting of nodes (the allowed states) and connections between them. The system is formed as a deployment of a proto-structure, being a two-component cyclically organized system of relations, which is interpreted as the primary structure intended for a step-by-step study of evolution. Evolution is understood as a history-based stage-by-stage deployment. The proto-structure defines the range of the allowed states for n, the order parameter of the system, which subordinates two relative characteristics. As a result of the interaction, the elements of the specified spectrum are split into components and specialize. In this work, the initial data are derived from the analysis of the previous stage of evolution, where the splitting of ten n-nodes within one isolated cycle of the proto-structure is considered. Here we examine five n-nodes; in details, they are presented using approximately fifty interacting positions. These positions are located on three hierarchy levels: the level of positions n, as well as their splittings - the level of shifts n relative to the initial positions - the level of splitting shifts. The inter-level relations and the level of shifts are considered in detail, the basis of which is the invariants formed at the previous stage of evolution.
For application purposes, in the context of circular motion, each element of the spectrum n is interpreted as a relative angular momentum in the solar system. Otherwise, the element of the spectrum is split into components, and each of them is responsible for the subordinate distance or for the period of revolution. The evolutionary maturity of planetary distances and orbital periods
The self-organizing system’s approaching evolutionary maturity is considered, which allows us to explain the characteristics of their orbits for the four planets of the solar system. The system does not possess any specifics of natural objects and is treated as part of a structure that has boundaries. The structure, in its turn, is represented as a set of relations on the numerical axis and is understood as a network of nodes (the allowed states) and relations between them. The system is formed on the basis of the deployment of a proto-structure, a two-component cyclically organized system of relations, which is treated as primary and is intended for a phased study of the evolution of natural systems. Evolution is understood as a deployment from stage to stage, taking into account the background. The proto-structure defines the spectrum of allowed states for n - the order parameter of the system, which subordinates two relative characteristics. As a result of the interaction, the elements of the specified spectrum are split into components and specialize. Here the feed data are the insights resulting from the analysis of the previous evolution stage, where the splitting of ten n-nodes within one isolated proto-structure cycle is considered. We study four n-nodes, which, as a result of detailing, are represented using approximately 50 positions interacting on the numerical axis. These positions are placed at three levels of the hierarchy: the level of positions n, as well as their splits - the level of shifts n relative to the initial positions - the level of small changes. Inter-level connections and the level of shifts are considered in detail, the basis of which are the invariants formed at the previous stage of evolution. An analysis of structural scenarios indicates the key role of shifts at the last stage of evolution.
When applied, each element of the spectrum n is interpreted as the relative moment of momentum in the solar system, when it comes to circular motion. Otherwise, any element of the spectrum is