A finite-dimensional integrable system associated with a polynomial eigenvalue problem
International Journal of Mathematics and Mathematical Sciences, 2006 M. Antonowicz and A. P. Fordy (1988) introduced the second-order polynomial eigenvalue problem Lφ=(∂2+∑i=1nviλi)φ=αφ(∂=∂/∂x,α=constant) and discussed its multi-Hamiltonian structures.
Taixi Xu, Weihua Mu, Zhijun Qiao
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Hamiltonian elliptic systems with critical polynomial-exponential growth
Nonlinear Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
João Marcos do Ó +2 more
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Legendre Polynomials Spectral Approximation for the Infinite‐Dimensional Hamiltonian Systems [PDF]
Mathematical Problems in Engineering, 2011 This paper considers a Legendre polynomials spectral approximation for the infinite‐dimensional Hamiltonian systems. As a consequence, the Legendre polynomials spectral semidiscrete system is a Hamiltonian system for the Hamiltonian system whose Hamiltonian operator is a constant differential operator.
Lv, Zhongquan, Xue, Mei, Wang, Yushun
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Analisys of Hamiltonian Boundary Value Methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems [PDF]
, 2009 One main issue, when numerically integrating autonomous Hamiltonian systems, is the long-term conservation of some of its invariants, among which the Hamiltonian function itself.
Abramovitz +21 more
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A multiprover interactive proof system for the local Hamiltonian problem [PDF]
, 2014 We give a quantum interactive proof system for the local Hamiltonian problem on n qubits in which (i) the verifier has a single round of interaction with five entangled provers, (ii) the verifier sends a classical message on O(log n) bits to each prover,
Fitzsimons, Joseph, Vidick, Thomas
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A family of the Poisson brackets compatible with the Sklyanin bracket [PDF]
, 2007 We introduce a family of compatible Poisson brackets on the space of $2\times 2$ polynomial matrices, which contains the Sklyanin bracket, and use it to derive a multi-Hamiltonian structure for a set of integrable systems that includes $XXX$ Heisenberg ...
Tsiganov, A. V.
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Multi-Objective Robust Control for Vehicle Active Suspension Systems via Parameterized Controller
IEEE Access, 2020 A parameterized controller design approach is proposed to solve the problem of multi-objective control for vehicle active suspension systems by using symbolic computation.
Zhong Cao +3 more
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Polynomial entropies for Bott nondegenerate Hamiltonian systems
, 2012 In this paper, we study the entropy of a Hamiltonian flow in restriction to an enregy level where it admits a first integral which is nondegenerate in the Bott sense. It is easy to see that for such a flow, the topological entropy vanishes. We focus on the polynomial and the weak polynomial entropies.
Labrousse, Clémence, Marco, Jean-Pierre
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Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations
, 1998 The bi-Hamiltonian structure of certain multi-component integrable systems, generalizations of the dispersionless Toda hierarchy, is studies for systems derived from a rational Lax function.
I. A. B. Strachan, Kupershmidt B. A.
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Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties [PDF]
, 2007 A classical (or quantum) second order superintegrable system is an integrable n-dimensional Hamiltonian system with potential that admits 2n−1 functionally independent second order constants of the motion polynomial in the momenta, the maximum possible ...
Bôcher M. +5 more
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