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On the Hamiltonian Flow of Brake Hamiltonian System
Applied Mechanics and Materials, 2013This paper studies the Hamiltonian flow of the brake Hamiltonian dynamical system on the symmetrical symplectic manifold. By using the transformation law of Hamiltonian diffeomorphisms and the Hamiltonian vectors, this paper describes the characteristics of the Hamiltonian flows and proves that the Hamiltonian flows are invariant under some ...
Da Wei Sun, Jia Rui Liu
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An integrable Hamiltonian system
Physics Letters A, 1995Abstract For any n , the dynamical system characterized by the Hamiltonian H = ∑ j , k = 1 n p j p k { λ + μ cos[ v ( q j − q k )]} is completely integrable: n constants of motion in involution are explicitly given, its initial-value problem is solved in completely explicit form.
Francesco Calogero, Francesco Calogero
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Journal of Mathematical Physics, 1995
The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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A completely integrable Hamiltonian system
Journal of Mathematical Physics, 1996The dynamical system characterized by the Hamiltonian H(q,p)=∑j,k=1n pjpkf(q dj−qk) with f(x)=λ+μ cos(νx)+μ′ sin(ν‖x‖) is completely integrable. Here n is an arbitrary positive integer and λ,μ,μ′,ν are 4 arbitrary constants (λ and μ real, μ′ and ν both real or both imaginary).
Calogero, F., Françoise, Jean-Pierre
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The Theory of Hamiltonian and Bi-Hamiltonian Systems
1998This chapter is devoted to the standard results of the algebraic theory of bi-Hamiltonian systems, developed during the last two decades. The crucial concepts like the one of the recursion operator introduced by Olver [158], the bi-Hamiltonian property formulated by Magri [123] as well as the hereditary property introduced by Fuchssteiner [82] gave a ...
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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987
Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems, for which it is almost ...
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Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems, for which it is almost ...
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Brain and other central nervous system tumor statistics, 2021
Ca-A Cancer Journal for Clinicians, 2021Carol Kruchko +2 more
exaly
2014
In this chapter we investigate the dynamics of classical nonlinear Hamiltonian systems, which—a priori—are examples of continuous dynamical systems. As in the discrete case (see examples in Chap. 2), we are interested in the classification of their dynamics.
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In this chapter we investigate the dynamics of classical nonlinear Hamiltonian systems, which—a priori—are examples of continuous dynamical systems. As in the discrete case (see examples in Chap. 2), we are interested in the classification of their dynamics.
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Radiation therapy‐associated toxicity: Etiology, management, and prevention
Ca-A Cancer Journal for Clinicians, 2021Kyle Wang
exaly
A review of cancer immunotherapy toxicity
Ca-A Cancer Journal for Clinicians, 2020Lucy Boyce Kennedy
exaly