Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Hanßmann, Heinz"'
Publikováno v:
Journal of Nonlinear Science, 20, 2513-2544 (2020)
We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1:2 resonance. Under detuning, this "Fermi resonance" typically leads to normal modes losing their stability through period-doubling bifurcations. For cubic
Externí odkaz:
http://arxiv.org/abs/2005.09686
We consider four masses in a circular configuration with nearest-neighbour interaction, generalizing the spatially periodic Fermi--Pasta--Ulam-chain where all masses are equal. We identify the mass ratios that produce the $1{:}2{:}4$~resonance --- th
Externí odkaz:
http://arxiv.org/abs/2002.01263
We investigate the stability loss of invariant n-dimensional quasi-periodic tori during a double Hopf bifurcation, where at bifurcation the two normal frequencies are in normal-normal resonance. Invariants are used to analyse the normal form approxim
Externí odkaz:
http://arxiv.org/abs/2001.08916
Akademický článek
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We consider integrable Hamiltonian systems in three degrees of freedom near an elliptic equilibrium in 1:1:-2 resonance. The integrability originates from averaging along the periodic motion of the quadratic part and an imposed rotational symmetry ab
Externí odkaz:
http://arxiv.org/abs/1807.09453
Autor:
Hanssmann, Heinz, Hoveijn, Igor
Two-degree-of-freedom Hamiltonian systems with an elliptic equilibrium at the origin are characterised by the frequencies of the linearisation. Considering the frequencies as parameters, the system undergoes a bifurcation when the frequencies pass th
Externí odkaz:
http://arxiv.org/abs/1704.02733
Publikováno v:
In Indagationes Mathematicae February 2021 32(1):33-54
Publikováno v:
In Indagationes Mathematicae February 2021 32(1):101-120
Autor:
Hanßmann, Heinz, Momin, Angelina
Publikováno v:
Journal of Mathematical Sociology; 2024, Vol. 48 Issue 3, p279-310, 32p