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This London Dynamical Systems Group workshop will be centred around the new phenomena which uniquely occur near discontinuities of nonsmooth systems. For discrete dynamical system these phenomena are often caused by border-collision bifurcations from a fixed point lying on the discontinuity threshold (Glendinning). For time-continuous dynamical systems the main organising centre is an invariant solution grazing the discontinuity (or impact) threshold. Perturbations of this solution can result into sliding solutions (Jeffrey), horseshoes (Kryzhevich) or chattering (Chillingworth). It has been recently understood that absense of smoothness may even lead to new types of Smale horseshoe (Gonchenko). More information about discontinuity-induced bifurcations and references to further reading can be found in scholarpedia article by Bristol Nonlinear Group. It is remarkable that the perturbed dynamical system shouldn't necessary be nonsmooth in order that the only key for understanding its dynamics be a grazing incident in a close impact system (Turaev).
All talks will be held in Room 642 of Math. Department (Huxley Building). |
12:30 - 13:15 – Paul Glendinning (Manchester) "Two-dimensional attractors of the border collision normal form" | |
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13:15 - 14:00 – Mike Jeffrey (Bristol) "Non-determinism and catastrophe in piecewise-smooth flows" | |
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14:00 - 14:30 – Coffee break | ||
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14:30 - 15:15 – Sergey Kryzhevich (St Petersburg) "Non-hyperbolic equilibria and non-transversal homoclinic points of strongly nonlinear dynamical systems" | |
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15:15 - 16:00 – David Chillingworth (Southampton) "Degenerate Chatter" | |
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16:00 - 16:30 – Coffee break | ||
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16:30 - 17:15 – Dima Turaev (Imperial College) "On smoothing of billiard flows" | |
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17:15 - 18:00 – Sergey Gonchenko (Nizhny Novgorod) "On new types of Smale horseshoes" | |
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