4 Result(s)
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Article
Dissipative soliton dynamics of the Landau–Lifshitz–Gilbert equation
We study ferromagnetic dissipative systems described by the isotropic LLG equation, from the standpoint of their spatially localized dynamical excitations. In particular, we focus on dissipative soliton s...
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Article
Comparison between the QP formalism and the Painlevé property in integrable dynamical systems
The quasipolynomial (QP) formalism and the Painlevé property constitute two distinct approaches for studying the integrability of systems of ordinary differential equations with polynomial nonlinearities....
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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 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...
