講演者
Prof TeD Iwasaki　（岩崎徹也教授）（University of California, Los Angeles (UCLA), USA）
講演日時
2012年7月30日（月）　10:45～12:15
講演場所
創想館2階 セミナールーム3 （14-203）
講演概要
Oscillations are often observed in nature at multiple levels, and form a basis for sustained operation of various functionalities. This talk introduces biological principles for coordinated oscillations and provides an overview of some recent developments on the analysis and design of dynamical mechanisms for oscillations, inspired by biological control systems. A particular focus will be placed on rhythmic body movements observed in animal locomotion, controlled by neuronal circuits called central pattern generators (CPGs). Biological mechanisms for locomotion will be mathematically formalized by viewing rhythmic movements as a limit cycle resulting from dynamic interactions of a CPG, body, and environment. We then discuss a neuronal pattern formation problem to achieve coordination of coupled harmonic oscillators with a prescribed set of relative phases. An approach will be proposed for the analysis of weakly coupled oscillators using a special coordinate transformation followed by averaging. A sufficient condition is given for orbital stability of the targeted limit cycle, in terms of linear matrix inequalities on the coupling matrix. Our method allows for multiple oscillation patterns to be embedded into a single coupling matrix with a local distributed structure.
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