Results 41 to 50 of about 8,993,262 (259)
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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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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A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]
, 2006 We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P. +8 more
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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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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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On the role of invariants for the parameter estimation problem in Hamiltonian systems [PDF]
, 1993 Baake M, Baake E, Eich E. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters. 1993;180(1-2):74-82.The parameter estimation problem is discussed for differential equations that describe a Hamiltonian ...
Baake, Michael, Baake, Ellen, Eich, E.
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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 +3 more
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Hamiltonian systems with constraints
Revista de Investigación de FísicaWe study the classical Hamiltonian of constraints systems. We will start by defining a Lagrangian function that defines a dynamical system with constraints and then we will derive the corresponding Hamiltonian formulation through a Legendre ...
Mississippi Valenzuela
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Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system $$ \ddot{u}-a(t)|u|^{p-2}u+\nabla W(t,u)=0,\qquad t\in \mathbb{R}, $
Yiwei Ye
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Stabilization of Hamiltonian systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 1986 Stabilization of Hamiltonian control systems is considered, using the first and the second Lypunov method. As the main result sufficient conditions are stated for an analytic Hamiltonian control system to be made locally asymptotically stable by an extended output feedback i.e. both the outputs and their derivatives are fed back.
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