Results 41 to 50 of about 17,286,981 (307)

On First Integrals of Hamiltonian System with Holonomic Hamiltonian

2022 IEEE 61st Conference on Decision and Control (CDC), 2022
In this study, the solution of the Hamilton-Jacobi equation (HJE) with holonomic Hamiltonian is investigated in terms of the first integrals of the corresponding Hamiltonian system. Holonomic functions are related to a specific type of partial differential equations called Pfaffian systems, whose solution space can be regarded as a finite-dimensional ...
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Symmetry and Resonance in Hamiltonian Systems [PDF]

SIAM Journal on Applied Mathematics, 2001
The authors consider a two-degree-of-freedom Hamiltonian \[ H(p_1,q_1,p_2,q_2)= \textstyle{{1\over 2}} \omega_1(p^2_1+ q^2_1)+ \textstyle{{1\over 2}} \omega_2(p^2_2+ q^2_2)+ H_3+ H_4+\cdots, \] where \(H_k\) \((k\geq 3)\) are homogeneous polynomials of degree \(k\).
Tuwankotta, J.M., Verhulst, F.
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State maps from integration by parts [PDF]

, 2011
We develop a new approach to the construction of state vectors for linear time-invariant systems described by higher-order differential equations. The basic observation is that the concatenation of two solutions of higher-order differential equations ...
Paolo Rapisarda, Schaft, Arjan van der; id_orcid, van der Schaft, Arjan, Schaft, Arjan van der, Rapisarda, Paolo,, Arjan van der Schaft, Rapisarda, Paolo, Schaft, Arjan van der,   +7 more
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Interference Effect Between a Parabolic Notch and a Screw Dislocation in Piezoelectric Quasicrystals

Crystals
This 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, Guanting Liu, Chengyan Wang, Junjie Fan   +3 more
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Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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On the perturbations of a Hamiltonian system

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yingjing Hu, Lixia Duan, Yi Huang, Yuhai Wu   +3 more
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Energy-Storage Balanced Reduction of Port-Hamiltonian Systems [PDF]

, 2003
Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented.
Fujimoto, Kenji, Ricardo Lopezlena, Scherpen, Jacquelien M.A.,, Lopezlena, Ricardo, Jacquelien M. A. Scherpen, Scherpen, Jacquelien M.A., Jacquelien M.A. Scherpen, Lopezlena, Ricardo,, Fujimoto, Kenji,, Kenji Fujimoto   +9 more
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Enhancing brain tumor detection in MRI images using YOLO-NeuroBoost model

Frontiers in Neurology
Brain tumors are diseases characterized by abnormal cell growth within or around brain tissues, including various types such as benign and malignant tumors. However, there is currently a lack of early detection and precise localization of brain tumors in
Aruna Chen, Aruna Chen, Aruna Chen, Da Lin, Qiqi Gao   +4 more
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Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Mathematics, 2018
The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
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Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper, we consider the following perturbed second-order Hamiltonian system $$ -\ddot{u}(t)+L(t)u=\nabla W(t,u(t))+\nabla G(t,u(t)), \qquad \forall \ t\in \mathbb{R}, $$ where $W(t,u)$ is subquadratic near origin with respect to $u$; the ...
Liang Zhang, Guanwei Chen
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