Results 31 to 40 of about 237,485 (323)
NORMALIZATION OF CLASSICAL HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2020 The family of the Hamiltonian systems with two degrees of freedom was investigated. The calculations of the Poincaré sections show that with arbitrary values of the parameters of the Hamilton function, the system is non-integrable and dynamic chaos is ...
I.N. Belyaeva +4 more
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Chaos in the BMN matrix model [PDF]
, 2015 We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ans\"atze:
Asano, Yuhma +2 more
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On the complete integrability of an equation having solitons but not known to have a Lax pair
International Journal of Mathematics and Mathematical Sciences, 1986 It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves.
A. Roychowdhury, G. Mahato
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Partial Differential Equations in Applied Mathematics, 2022 The complex coupled integrable dispersionless (CID)system is an important system. It has been shown that complex CID equation is gauge equivalent to the Pohlmeyer–Lund–Regge model (a complex sine-Gordon equation) and can also be transformed to the ...
Caiqin Song, Chen-Chen Fu, Zuo-Nong Zhu
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A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model
Advances in Difference Equations, 2020 A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
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Averaging method for systems with separatrix crossing [PDF]
, 2017 The averaging method provides a powerful tool for studying evolution in near-integrable systems. Existence of separatrices in the phase space of the underlying integrable system is an obstacle for application of standard results that justify using of ...
Neishtadt, Anatoly
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Coupling symmetries with Poisson structures
, 2012 We study local normal forms for completely integrable systems on Poisson manifolds in the presence of additional symmetries. The symmetries that we consider are encoded in actions of compact Lie groups.
Laurent-Gengoux, Camille, Miranda, Eva
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Discrete Values of the Coefficient of Damping under Conditions of Explicit Acoustic Nonlinearity
Nonlinear Analysis, 2006 Qualitative analysis of hypersound generation is described by the inhomogeneous Burgers equation in the case of the non-harmonic and arbitrary light field. A qualitative possibility of the appearance of discrete values of the coefficient of extinction of
P. Miškinis
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, 2012 The box-ball system is an integrable cellular automaton on one dimensional lattice. It arises from either quantum or classical integrable systems by the procedures called crystallization and ultradiscretization, respectively.
Ariki S +42 more
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