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Chapter and Conference Paper
Global dynamics of coupled standard maps
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Chapter
On The Non-Integrability of the Mixmaster Universe Model
We demonstrate that numerical integration in the complex domain can provide rapidly and efficiently strong evidence on the (non-) integrability of many degree-of-freedom systems, which is particularly useful i...
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Chapter
Fluxon Dynamics in Single and Coupled Long Josephson Junctions With Inhomogeneities
Fluxon dynamics in a variety of Long Josephson Junction CLJJ) systems is studied using the collective coordinate analysis of McLaughlin and Scott, and the results of the ODE predictions are compared with the n...
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Chapter and Conference Paper
A Singularity Analysis Approach to the Solutions of Duffing’s Equation
The singularity structure of Duffing’s equation in the complex t-plane is investigated analytically and numerically. A series expansion for the general solution around each singularity t* = tR+itI is given, and i...