Results 11 to 20 of about 36,265 (314)
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
doaj +1 more source
AIMS Mathematics, 2023 In the present paper, we focus on the reducibility of an almost-periodic linear Hamiltonian system $ \frac{dX}{dt} = J[A+\varepsilon Q(t)]X, X\in \mathbb{R}^{2d} , $ where $ J $ is an anti-symmetric symplectic matrix, $ A $ is a symmetric matrix, $
Muhammad Afzal +5 more
doaj +1 more source
Orbital stability of periodic standing waves of the coupled Klein-Gordon-Zakharov equations
AIMS Mathematics, 2023 This paper investigates the orbital stability of periodic standing waves for the following coupled Klein-Gordon-Zakharov equations $ \begin{equation*} \left\{ \begin{aligned} &u_{tt}-u_{xx}+u+\alpha uv+\beta|u|^{2}u = 0, \ &v_{tt}-v_{xx} =
Qiuying Li +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +5 more sources
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
doaj
Nontwist non-Hamiltonian systems [PDF]
Physical Review E, 2006 We show that the nontwist phenomena previously observed in Hamiltonian systems exist also in time-reversible non-Hamiltonian systems. In particular, we study the two standard collision/reconnection scenarios and we compute the parameter space breakup diagram of the shearless torus.
E. G. Altmann +2 more
openaire +6 more sources
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
doaj +1 more source
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
doaj +1 more source