搜索结果: 1-13 共查到“数学 oscillator”相关记录13条 . 查询时间(0.39 秒)
Predictor-corrector methods for a linear stochastic oscillator with additive noise
predictor-corrector method linear stochastic oscillator symplecticity stochastic Hamil-tonian system second moment mean-square convergence
2012/8/7
The predictor-corrector methods P(EC)k with equidistant discretization are applied to the nu-
merical integration of a linear stochastic oscillator. Their ability in preserving the symplecticity, the...
Golden Quantum Oscillator and Binet-Fibonacci Calculus
Golden Quantum Oscillator Binet-Fibonacci Calculus Quantum Algebra
2011/9/19
Abstract: The Binet-Fibonacci formula for Fibonacci numbers is treated as a q-number (and q-operator) with Golden ratio bases $q=\phi$ and $Q=-1/\phi$. Quantum harmonic oscillator for this Golden calc...
q-damped Oscillator and degenerate roots of constant coefficients q-difference ODE
q-damped Oscillator degenerate roots coefficients q-difference ODE
2011/9/5
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems
Lyapunov Instability Covariant Lyapunov Spectrum Gram-Schmidt Orthonormalization
2011/7/6
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three
time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions re-
spectively....
Oscillator Variations of the Classical Theorem on Harmonic Polynomials
Oscillator Variations Classical Theorem Harmonic Polynomials
2011/1/21
We study two-parameter oscillator variations of the classical theorem on har-monic polynomials, associated with noncanonical oscillator representations of sl(n, F) and o(n, F).
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator
quantum Hamiltonians superintegrability exchange operators supersymmetry
2011/2/21
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of
compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method is
based on novel...
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Oscillator populations Kuramoto transition hyperbolic chaos robust chaos
2010/12/28
We study chaotic behavior of order parameters in two coupled ensembles of selfsustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual intera...
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...
Design of Easily Synchronizable Oscillator Networks Using the Monte Carlo Optimization Method
Synchronization Kuramoto model Networks Metropolis Optimization
2010/4/21
Starting with an initial random network of oscillators with a heterogeneous frequency distribution, its autonomous synchronization ability can be largely improved by appropriately rewiring the links b...
Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
Oscillator Populations Varying Network Topology
2010/4/2
We study a network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but ...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
2010/4/8
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...
An Exact Approach to the Oscillator Radiation Process in an Arbitrarily Large Cavity
the Oscillator Radiation Process Arbitrarily Large Cavity
2010/11/2
Starting from a solution of the problem of a mechanical oscillator coupled to a scalar field inside a reflecting sphere of radius $R$, we study the behaviour of the system in free space as the limit ...