Persistence of Invariant Tori in Integrable Hamiltonian Systems Under Almost Periodic Perturbations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9467-9
Abstract: In this paper, we are concerned with the existence of invariant tori in nearly integrable Hamiltonian systems $$\begin{aligned} H=h(y)+f(x,y,t), \end{aligned}$$H=h(y)+f(x,y,t),where $$y\in D\subseteq \mathbb {R}^n$$y∈D⊆Rn with D being an open bounded domain, $$x\in \mathbb {T}^n$$x∈Tn, f(x, y, t)… read more here.
Keywords: persistence invariant; almost periodic; mathbb; hamiltonian systems ... See more keywords
An asymptotic method for quasi-integrable Hamiltonian system with multi-time-delayed feedback controls under combined Gaussian and Poisson white noises
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DOI: 10.1007/s11071-017-3832-3
Abstract: In the present paper, we consider an approximate approach for predicting the responses of the quasi-integrable Hamiltonian system with multi-time-delayed feedback control under combined Gaussian and Poisson white noise excitations. Two-step approximation is taken here… read more here.
Keywords: quasi integrable; system; time; method ... See more keywords
Integrable Hamiltonian Systems with a Periodic Orbit or Invariant Torus Unique in the Whole Phase Space
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DOI: 10.1007/s40598-018-0093-2
Abstract: It is very well known that periodic orbits of autonomous Hamiltonian systems are generically organized into smooth one-parameter families (the parameter being just the energy value). We present a simple example of an integrable Hamiltonian… read more here.
Keywords: periodic orbit; phase space; hamiltonian systems; integrable hamiltonian ... See more keywords
Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
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DOI: 10.3390/math11081794
Abstract: Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their… read more here.
Keywords: hamiltonian hierarchies; matrix spectral; higher order; integrable hamiltonian ... See more keywords