Results 21 to 30 of about 37,717 (312)
Dynamical behavior and control of a new hyperchaotic Hamiltonian system
AIMS Mathematics, 2022 In this paper, we firstly formulate a new hyperchaotic Hamiltonian system and demonstrate the existence of multi-equilibrium points in the system. The characteristics of equilibrium points, Lyapunov exponents and Poincaré sections are studied.
Junhong Li, Ning Cui
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Hamiltonian Systems with Spin [PDF]
Canadian Mathematical Bulletin, 1969 In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears.
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Journal of Thermal Science and Technology, 2017 A novel Hamiltonian-based method is introduced to the two-dimensional (2-D) transient heat conduction in a rectangular domain with partial temperature and partial heat flux density on one boundary.
Chenghui XU +3 more
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Journal of Mathematical Sciences and Modelling, 2018 Our review is devoted to Lie-algebraic structures and integrability properties of an interesting class of nonlinear dynamical systems called the dispersionless heavenly equations, which were initiated by Plebanski and later analyzed in a series of ...
Anatolij Prykarpatski +3 more
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AIMS MathematicsIn the study, the authors concisely review the normalized remainders of the Maclaurin series and, by establishing an inequality for specific Maclaurin series, show that the ratio between two normalized remainders of the Maclaurin series of the ...
Tao Zhang, Feng Qi
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ULTRADISCRETE HAMILTONIAN SYSTEMS [PDF]
Glasgow Mathematical Journal, 2005 Summary: The method of ultradiscrete limit is applied to a series of discrete systems derived from Hamiltonian systems parametrized with corresponding lattice polygons. For every ultradiscrete system, general solution is obtained from the polar set of each lattice polygon.
Daisuke Takahashi, Masataka Iwao
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Browder spectra of closed upper triangular operator matrices
AIMS MathematicsLet $ T_{B} = \left[\begin{array}{ll} A & B \\ 0 & D \end{array}\right] $ be an unbounded upper operator matrix with diagonal domain, acting in $ \mathcal H \oplus\mathcal K $, where $ \mathcal H $ and $ \mathcal K $ are Hilbert spaces.
Qingmei Bai +2 more
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DISCRETE PORT HAMILTONIAN SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this
A.J. van der Schaft +2 more
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Interference Effect Between a Parabolic Notch and a Screw Dislocation in Piezoelectric Quasicrystals
CrystalsThis study investigates the coupling mechanism between a parabolic notch and dislocations in one-dimensional (1D) hexagonal piezoelectric quasicrystals (PQCs) based on the theory of complex variable functions.
Yuanyuan Gao +3 more
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Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system
Advances in Nonlinear Analysis, 2017 We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
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