Dynamics of hierarchical systems: an evolutionary approach
Dynamics of hierarchical systems: an evolutionary approach
Discrete Lagrange's equations and canonical equations based on the princple of least action
Applied Mathematics and Computation
APL '92 Proceedings of the international conference on APL
Emergence: from chaos to order
Emergence: from chaos to order
Time reversibility in nonequilibrium thermomechanics
Proceedings of the workshop on Time-reversal symmetry in dynamical systems
Dynamics of complex systems
Complexly Organised Dynamical Systems
Open Systems & Information Dynamics
A quantitative measure, mechanism and attractor for self-organization in networked complex systems
IWSOS'12 Proceedings of the 6th IFIP TC 6 international conference on Self-Organizing Systems
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In this paper, we formulate the least action principle for organized system as the minimum of the total sum of the actions of all of the elements. This allows us to see how this most basic law of physics determines the development of the system towards states with less action — organized states. Also we state that the metric tensor can describe the specific state of the constraints of the system, which is its actual organization. With this the organization is defined in two ways: 1. quantitative: the action I; 2. qualitative: the metric tensor gmn. These two measures can describe the level of development and the specifics of the organization of a system. We consider closed and open systems.