A Research Workshop on Bifurcations in Oscillators with Elastic and Impact Constraints has been held on November 4 – November 6, 2009 at Imperial College London, United Kingdom. The workshop brought together 23 researchers from 9 countries to strength the link between the theory of simple oscillators with piecewise smooth stiffness (including impact oscillators) and mechanical applications (in particular, atomic force microscopy). 10 large lectures have been delivered over the days of the meeting.
Harry Dankowicz | (Illinois, USA) | Rafael Ortega | (Granada, Spain) |
Alexander Ivanov | (Moscow, Russia) | Oliver Payton | (Bristol, UK) |
Sergey Kryzhevich | (St Petersburg, Russia) | Luca Placidi | (Rome, Italy) |
Alain Leger | (Marseille, France) | Robert Szalai | (Bristol, UK) |
Anatoly Neishtadt | (Loughborough, UK) | Kazuyuki Yagasaki | (Niigata, Japan) |
4 November 9:00-10:00 Anatoly Neishtadt (Loughborough, UK) On adiabatic perturbation theory for systems with impacts abstract presentation: |
5 November 9:00-10:00 Kazuyuki Yagasaki (Niigata, Japan) Subharmonic Melnikov method and its application to bi- and tri-linear oscillators abstract presentation: |
6 November 9:00-10:00 Rafael Ortega (Granada, Spain) Twist maps with non-periodic angles abstract presentation: |
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4 November 10:00-11:00 Luca Placidi (Rome, Italy) Soft contact dynamics of an impacting bilinear oscillator: numerical simulation and hints for describing an impacted cantilever beam abstract presentation: |
5 November 10:00-11:00 Oliver Payton (Bristol, UK) Mathematical model of tapping mode AFM; comparison between theory and experiment abstract |
6 November 10:00-11:00 Sergey Kryzhevich (St Petersburg, Russia) Smale horseshoes in dynamical systems with impacts abstract presentation: |
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5 November 11:30-12:30 Harry Dankowicz (Illinois, USA) Degenerate discontinuity-induced bifurcations in apping-mode atomic-force microscopy abstract |
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4 November 14:00-15:00 Robert Szalai (Bristol, UK) Arnol'd Tongues Arising from a Grazing-sliding Bifurcation abstract |
5 November 14:00-15:00 Alexander Ivanov (Moscow, Russia) On the "smoothing" of discontinuous bifurcations abstract presentation: |
6 November 14:00-15:00 Alain Leger (Marseille, France) Dynamics of discrete systems with nonregularized impact and friction abstract presentation: |