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セミナー情報 (2009年6月19日)

日時
2009年6月19日(金)15時30分-17時
場所
総合校舎406セミナー室
Oleg Bogoyavlenskij (Queen’s University)
Periodic cycles and collapse in a developed economic society

A mathematical model is proposed for the evolution in time of a developed industrialized society. The corresponding dynamical system belongs to the class of Hamiltonian Lotka-Volterra systems with variable coefficients. For the case of constant coefficients, the necessary and sufficient conditions are derived for existence of periodic cycles and alternatively for a collapse of one of the major institutions of the society. For the general case of time-dependent coefficients, the sufficient conditions for both dynamical regimes are presented.