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** Research Topics [#d037edec]

- SIZE(15){COLOR(#333399){''Theory of Nonlinear Dynamics and Nonlinear Dynamical Systems''}}

>is a common research object in Prof Hikihara's laboratory.  Our purpose here is twofold:  Analysis and synthesis.  One is to understand how dynamics emerge from nonlinearty of systems.  The other is to establish how to control and synthesize them as engineering applications.  Chaos is a famous nonlinear phenomenon resulting from nonlinearity, which was experimentally found in 1961 by Dr. Yoshisuke Ueda, Emeritus Professor of Electrical Engineering, Kyoto University.  Various nonlinear phenomena are also well known which include regular/subharmonic oscillations, local/global bifurcation, and smooth/fractal basin boudaries.  Not only analysis of nonlinear phenomena and also control of nonlinear phenomena or synthesis of nonlinear systems is also our purpose of research.  Delayed-feedback stabilization of magneto-elastic chaos was experimentally archived by Prof Hikihara [Hikihara and Kawagoshi, Phys. Lett. A. 211, 29 (1996)].  Koopman operator theory, which is an infinite-dimensional linear operator defined for nonlinear dynamical systems, in systems and control is pursed by Associate Prof Susuki [[[w/ Alexandre Mauroy and Igor Mezic (editors), '''The Koopman Operator in Systems and Control''', Springer Nature, 2020:https://link.springer.com/book/10.1007/978-3-030-35713-9]]].  We are currently active in studying the following topics on nonlinear dynamics and control:  

-- Operator-theoretic approaches such as Koopman and Perron-Frobenius operators; 

- SIZE(15){COLOR(#333399){''Power Conversion and Power Processing''}}

>is one of the applications of nonlinear dynamics and control focused by Assistant Prof Mochiyama.  We are currently studying the following topics:

-- Power packetization and its applications to robotics;
-- Power router for energy demand response;


//- SIZE(15){COLOR(#333399){''Micro-Electromechanical Systems''}}

//>is an avant-garde research direction in our group.  We are currently studying the following topics:

//-- Application of time-delayed feedback control to atomic force microscopy;
//-- Intrinsic localized modes in MEMS devices:  Theory and Application; and 
//-- In situ mass separation by MEMS actuator.
//-- Coupled MEMS sensors;
//-- Sensor networks;
//-- Energy harvesting.


- SIZE(15){COLOR(#333399){''Energy Systems and Electricity Grids''}}

>(in preparation)
//>are also a research object in applications of nonlinear dynamical systems.  Needless to say, a power grid is a massively huge physical network for energy management system of modern society and is regarded as a safety-critical system.   Analysis and control based on nonlinear/hybrid dynamics are an essential key to the requirement.  We are currently studying the following topics:  

//-- Application of hybrid systems theory and control;
//-- Non-holonomic mechanics and control of ac/dc composite power networks; 
//-- Development of hybrid-type power network simulator;
//-- Coupled swing dynamics and new global instability of power grids.
//-- Development of new devices for distributed power grid.


** Publication Lists [#xf785dc6]

//** [[Ph.D Dissertation List >Ph.DList]] [#x5d39104]

//** Past External Evaluation [#uaf10f69]
//-[[By Dr. Ralph Abraham (2005):http://www.ralph-//abraham.org/new/fulspec/japan.2005/report/kyoto.html]]
//-[[By Dr. Ralph Abraham (2004):http://www.ralph-//abraham.org/new/fulspec/japan.2004/report/kyoto.html]]

//** Comment [#l3193488]
//>We are expecting contacts by potential PDs or PhD students.  Scholarship or funding should be requested at least 2 yrs before coming.

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