Having non-linear equations share properties is useful, but when it comes to measurements and calculations, every non-linear system is a thing in itself. Comprehension of one of them gave absolutely nothing for penetration into the other. The Lorenz attractor revealed the stability and hidden structure of a system that, otherwise, seemed completely unstructured. But how could this double helix help specialists study objects that have nothing to do with it? No one knew.
The discoverers of new forms compromised the rigor of the scientific style. Ruelle wrote: “I have not mentioned the aesthetic impact of strange attractors. These tangles of curves and swarms of dots sometimes conjure up magnificent fireworks or mysterious galaxies, sometimes they resemble a bizarre riot of plants. Before us is a vast realm of undiscovered forms and unknown perfection.
In the light of the latest research on the role of tidal friction and excess infrared emission of the giant planets of the solar system the role of viscous friction at different moments of inertia for a layered planets for example Earth
The drainage basin, river, and delta zone together constitute a complex open dipole system. In it, the watershed subsystem plays the role of an accumulator of high potential energy of water, the channel zones are cumulative transit zones of the potential energy of water, and the estuarine zones are dissipators of this energy, minimizing its level to the maximum. It is convenient to represent such a system as a “drainage” model, which allows us to consider all types of floods in its various sections and at the same time give a comparative assessment of the potential of river systems as dipole formations from tectonic positions.
The concept of climate is considered from the standpoint of the theory of complex systems. A hierarchy of subordination is proposed to consider a system including the Earth’s climate as its subsystem, the Earth as a system directly affecting it, the Solar System as a suprasystem and the Galaxy as a supersystem. The interrelation of all rhythms in this hierarchy is discussed and the leading parameters and rhythms are highlighted, which confirms the usefulness of this approach.
In recent years, a new promising general scientific direction has emerged to study the processes of self-organization in complex open systems of Nature and Society. Under open systems it is customary to understand systems capable of exchanging matter, energy and information with the environment. Openness in combination with the accumulative and internal resonance of the system leads to the activation of internal processes of self-organization and the complication of the structure, which is the essence of its evolution.
A general characteristic of planetary systems is proposed. The well-known heat sources of evolution are considered. A new type of heat source is proposed - variations of kinematic parameters in a dynamic system. The inconsistency of the Perovskitepostperovskite model of heat is substantiated. Calculations of moments of inertia relative to the boundary D on the Ground (above and below) are given. Their difference of 9 times allows us to assert that it is due to the slippage of the upper layers with variations in the speed of rotation of the Earth that heat is released through viscous friction. This heat is the basis of mantle convection and tetonics of lithospheric plates.
The work is devoted to the analysis of ways of development of the theory of self-organization for the world of complex systems. This is due to the fact that the modern world understanding is based on the concepts of complex world and correspondingly on interactions of complex systems, such as nonlinearity, imbalance and chaotic state in the process of evolution. The paper summarizes not only all types of self-organization known to date, but also the degree of participation of authors in the topic. In addition, a new type of cumulative self-organization is considered separately.
They outlined briefly the basic concepts of nonlinear dynamics, such as evolution, bifurcations, autowaves, instability, fractals, chaos, and dynamic chaos.
The article presents a brief history of the development of ideas in the category of “complexity”. Modern interpretations of the term in various sciences are shown. The system approach to complexity understanding is stated most fully.
They discussed the irrelevance of the ideas put forward earlier about the sources of the Earth endogenous heat. They showed the incorrectness of the new model of the perovskitepostperovskite phase transition for the D boundary. In the light of new concepts of nonlinear dynamics, new approaches are proposed that have a wider application for any planetary systems. They considered the role of viscous-plastic friction on the endogenous heat release at the boundary D with a difference in the moments of inertia for a two-layer model of the Earth under the conditions of velocity variation rotation. They performed the analysis of the published data from the satellites of Jupiter concerning the traces of endogenous activity on their surfaces. They put forward the idea about the role of variations in kinematic parameters (nutation and precession of rotation, eccentricity of revolution) on endogenous manifestations on their surfaces as an obligatory property of nonlinear planetary systems. This allows us to explain the latest research by NASA scientists on satellite data concerning the excess of infrared radiation of the giant planets in the solar system.
The role of bifurcation or structural-phase transitions in the evolution of complex systems is analyzed using a phenomenological algorithm and formalized concepts of adaptability and stability. It is shown that the algorithm makes it possible to estimate the degree of transition harmonicity and the stability of the new state. Knowledge of the features of the most critical zones of structural-phase transitions makes it possible to change the trajectory, pace and ultimate goal of the evolution of various dangerous natural processes by small energy impacts, preventing their development to extreme states. The knowledge of the functional significance of such “acupuncture” points of evolutionary processes makes it possible to control them with minimal energy costs for the purpose of preventive protection.
The polyfunctionality of complex evolving systems is analyzed. It is shown that not only living objects, but also various inert, bio-inert systems have numerous functions in the general natural organism. The functions of a dual nature systems - bioinert soil and biosocial man - turned out to be especially numerous. Such functions turned out to be the basic objects of study of the existing world system polyfunctionality.