InterJournal Complex Systems, 775
Status: Accepted
Manuscript Number: [775]
Submission Date: 2004
Inter-hierarchic resonance in complex systems: search of anti-resonance situation.
Author(s): David Saakian

Subject(s): CX.4



The notion of complex resonance is defined as a situation, when global parameters of the system characterizing the total state coincide for different hierarchic levels. Among those global parameters are frequencies in classical mechanics systems, temperatures (Nishimori like) in disordered systems and wave function's phase. The more involved case could be connected with the functions like replica symmetry breaking schemes. The anti-resonance is defined as a situation, when highlevel (hierarchic) parameter is chosen to suppress the motion in a maximal away. We applied the last concept to the problems of the modern history.

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