Mezić Research Group

Dynamical Systems and Nonlinear Control Theory

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Conference on Coupled Nonlinear Oscillators and Applications in Nanosystems

fred_psmm_01The goals of the workshop are:

  • Promote an exchange of information between theorists and experimentalists in the field.
  • Discuss nonlinear effects present in biological nanosystems and their utilization for operation of engineered devices at nanoscale.
  • Discuss a range of new nonlinear effects present in interconnected devices. Establish new areas of theory developments and a set of interesting experimental directions.
  • Expose a new generation of students and postdoctoral fellows in Engineering, Physics and Mathematics to an emerging and important field.
For this reason we are proposing to award -on competitive basis - student and postdoctoral fellowships for the workshop, to cover travel and local expenses.

Since the invention of the Atomic Force Microscope, interest in Nanoscale Oscillators has been growing exponentially. The impact of new imaging techniques, solid-state, biological and biomimetic applications that have been enabled by these devices is already large.

Atomic force microscopes are used for a huge range of micro- and nanoscale imaging problems, enabling progress in understanding issues from cell mechanics to uncovering exceptionally specific and sensitive sensing mechanisms used by insects. Resonators for communication purposes in nanosatellites and micro-air vehicles are currently made out of quartz or ceramics and microcantilever oscillator technology holds a promise for reducing weight of such oscillators by an order of magnitude.

Understanding of coupling of flow and structure oscillation is also of utmost importance for design of micro-air flying devices, if the size of these devices is to be scaled down to mosquito-size. A new generation of devices featuring large arrays of coupled oscillators and novel dynamical effects is appearing [3]. While nonlinearity can have important detrimental effects to imaging in Atomic Force Microscopy [1], control mechanism can be used to quench those [4]. In addition, there is a range of nonlinear effects that can be exploited to enhance imaging and provide new functionality to devices. Some of these effects can be found naturally appearing in biomolecular dynamics [2].

The following presenters are expected and participants will present talks at the workshop:

  1. Jeff Moehlis (UCSB, USA) (theory)
  2. Igor Mezic (UCSB, USA) (the)
  3. Kim Turner (UCSB, USA) (experimental)
  4. Andrew Cleland (UCSB, USA) (exp)
  5. Predrag Cvitanovic (Georgia Institute of Technology, USA) (the)
  6. Michael Roukes (Caltech, USA) (exp)
  7. Kunihiro Kaneko (Tokyo University, Japan) (the)
  8. Takashi Hikihara (Kyoto University, Japan) (the,exp)
  9. H. Yamada (Kyoto University, Japan) (exp)
  10. M. Sato (Kanazawa University, Japan) (exp)
  11. Hiroaki Daido (Osaka Prefecture University, Japan) (the)
  12. Ron Lifshitz (Caltech, USA and Weitzmann, Izrael) (the)
  13. Serge Aubry (Saclay, France) (the)
  14. Pierre Gaspard (Universite Libre de Bruxelles, Belgium) (the)

The presenters were chosen to reflect the interdisciplinarity of the field (Mathematics, Engineering, Physics, Biology), its theoretical and experimental aspects, and international nature of the research, with some of the strongest research groups concentrated in the USA, Japan and Europe.


  1. Dynamical analysis and control of microcantilevers. M. Ashab, M. V. Salapaka, M. Dahleh, and I. Mezic. Automatica, 35:1663 to 1670, 1999.
  2. On the dynamics of molecular conformation. I. Mezic. Proceedings of the National Academy of Sciences of the USA, 103:7542 to 7547, 2006.
  3. Nonlinear energy localization and its manipulation in micromechanical oscillator arrays. M. Sato, B. E. Hubbard, and A. J. Sievers. Reviews of Modern Physics, 78:137 to 157, 2006.
  4. Control of microcantilevers in dynamic force microscopy using time delayed feedback. K. Yamasue and T. Hikihara. Review of Scientific Instruments, 77:Art. No. 053703, 2006.
Last Updated on Friday, 03 April 2009 17:36