Results 1 to 10 of about 28,061 (167)
Heliyon, 2023 Under the influence of axial forces and uniform temperature variations, the thermal buckling and postbuckling of composite beams reinforced of functionally graded multilayer graphene platelets (GPLs) resting on nonlinear elastic foundations are examined.
Ying Lv, Jing Zhang, Lianhe Li
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ON THE SYMMETRIES OF HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 1995 In this paper we show how the well-known local symmetries of Lagrangian systems, and in particular the diffeomorphism invariance, emerge in the Hamiltonian formulation. We show that only the constraints which are linear in the momenta generate transformations which correspond to symmetries of the corresponding Lagrangian system.
Mukhanov, V., Wipf, A.
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Modeling and Analysis of a Three-Terminal-Memristor-Based Conservative Chaotic System
Entropy, 2021 In this paper, a three-terminal memristor is constructed and studied through changing dual-port output instead of one-port. A new conservative memristor-based chaotic system is built by embedding this three-terminal memristor into a newly proposed four ...
Ze Wang, Guoyuan Qi
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Real Hamiltonian forms of Hamiltonian systems [PDF]
The European Physical Journal B, 2004 We introduce the notion of a real form of a Hamiltonian dynamical system in analogy with the notion of real forms for simple Lie algebras. This is done by restricting the complexified initial dynamical system to the fixed point set of a given involution. The resulting subspace is isomorphic (but not symplectomorphic) to the initial phase space. Thus to
G. MARMO +3 more
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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.
Iwao, Masataka, Takahashi, Daisuke
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Sections of Hamiltonian Systems [PDF]
Regular and Chaotic Dynamics, 2021 A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e.g. a boundary, an obstacle or a set of admissible states). In this paper we give local classification results for all typical singularities of sections of regular (non-singular) Hamiltonian systems, a problem ...
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On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
ITM Web of Conferences, 2019 Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian +2 more
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TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: In this paper, we develop the basic theory of linear \(q\)-Hamiltonian systems. In this context, we establish an existence and uniqueness result. Regular spectral problems are studied. Later, we introduce the corresponding maximal and minimal operators for this system. Finally, we give a spectral resolution.
Bilender PAŞAOĞLU ALLAHVERDİEV +1 more
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Finding the closed-form solutions of dissipative oscillatory systems
Scientific Reports, 2022 This paper shows how to use the approximate Hamiltonian approach for the non-conservative system not capable of possessing Hamiltonian. Using the approximate Hamiltonian method for a non-conservative system is not possible in general. We propose a way to
Saba Irum, Imran Naeem
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Karpatsʹkì Matematičnì Publìkacìï, 2020 There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus.
O.Ye. Hentosh +2 more
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