Convergence to Normal Forms of Integrable PDEs
نویسندگان
چکیده
منابع مشابه
Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
We present a project of classification of a certain class of bihamiltonian 1+1 PDEs depending on a small parameter. Our aim is to embed the theory of Gromov Witten invariants of all genera into the theory of integrable systems. The project is focused at describing normal forms of the PDEs and their local bihamiltonian structures satisfying certain simple axioms. A Frobenius manifold or its dege...
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Low codimensional bifurcations of control systems have been classified using the theory of normal forms. However, the normal form theory was developed as local results. To understand the behavior of control systems outside a local area of a bifurcation point, it is necessary to study the convergence of the normal forms if the vector fields are analytic. The convergence is a long time open probl...
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A fruitful technique for the local analysis of a dynamical system consists of using a local change of coordinates to transform the system to a simpler form, which is called a normal form. The qualitative behavior of the original system is equivalent to that of its normal form which may be easier to analyze. A bifurcation of a parameterized dynamics occurs when a change in the parameter leads to...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2020
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03661-8