Self-Organization and Finite Velocity of Transmitting Substance and Energy through Space-Time

Details Self-Organization and Finite Velocity of Transmitting Substance and Energy through Space-Time Self-Organization and Finite Velocity of Transmitting Substance and Energy through Space-Time

2006-01-23

arxiv.org/abs/nlin/0601048v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

10 pages, no figures

Scientific paper

The idea that the velocity of transmitting substance/energy trough space-time is to be bounded is a fundamental concept in the science. To the most surprise, it turns out that it is not always met. We demonstrate that the existing approaches to the self-organization, another major concept in the science, let the velocity of transmitting substance to be arbitrary. Further we prove that only the boundedness of the velocity is not enough to ensure the self-organization. That is why we develop radically novel approach to the macroscopic evolution that not only reconciles the self-organization and the velocity ansatz but in addition gives physically credible basis to phenomena like Feigenbaum cascade and fluctuation-assisted bifurcations.

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