Fractal structures in weakly dissipative KAM theory and related problems
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Publication:357269
DOI10.1007/S10958-013-1179-YzbMath1269.34006OpenAlexW2038560919MaRDI QIDQ357269
M. R. Bogdanov, R. I. Bogdanov, P. S. Kusin
Publication date: 30 July 2013
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-013-1179-y
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Fractals (28A80)
Cites Work
- Factorization of diffeomorphisms over phase portraits of vector fields on the plane
- From the Newton version of the Kolmogorov-Arnol'd-Moser theory to a weakly dissipative version
- 10.1007/s11470-008-3009-8
- THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
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