Results 31 to 40 of about 37,694 (310)
International Journal of Mathematics and Mathematical Sciences, 2006 The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton's law.
Xuncheng Huang, Guizhang Tu
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Frontiers in Applied Mathematics and Statistics, 2023 We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn +2 more
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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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Electronic Journal of Qualitative Theory of Differential Equations, 2011 By using the saddle point theorem, some new existence theorems are obtained for second-order Hamiltonian systems with impulsive effects in the cases when the gradient of the nonlinearity grows sublinearly and grows linearly respectively.
Xiaofei He, Peng Chen
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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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Port-Hamiltonian Systems on Graphs [PDF]
SIAM Journal on Control and Optimization, 2013 In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac structure relating the flow and effort variables associated to the edges, internal vertices, as well as boundary ...
Schaft, A. J., Maschke, B. M.
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QUANTUM BI-HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 2000 We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.
J.F. Carinena +2 more
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Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion
Advances in Mathematical Physics, 2019 The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view of nonintegrability, including the planar Hamiltonian with Nelson potential, double-well potential, and the perturbed elliptic oscillators Hamiltonian ...
Jingjia Qu
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Particle Swarm Optimization of a Passivity-Based Controller for Dynamic Positioning of Ships
Applied Sciences, 2020 Dynamic positioning (DP) control system is an essential module used in offshore ships for accurate maneuvering and maintaining of ship’s position and heading (fixed location or pre-determined track) by means of thruster forces being generated by ...
Mutaz Ryalat +2 more
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Homoclinic orbits for periodic second order Hamiltonian systems with superlinear terms
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We obtain the existence of nontrivial homoclinic orbits for nonautonomous second order Hamiltonian systems by using critical point theory under some different superlinear conditions from those previously used in Hamiltonian systems.
Haiyan Lv, Guanwei Chen
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