42 research outputs found
Estimation of the largest Lyapunov exponent-like (LLEL) stability measure parameter from the perturbation vector and its derivative dot product (part 2) experiment simulation
Get PDFThe non-integrability of strings in massive type IIA and their holographic duals
Get PDFIn this work we study various aspects of six-dimensional
SCFTs. We consider the construction of their string duals in Massive IIA and
discuss some observables in given examples. We study the dynamics of string
solitons wrapping and rotating on the Massive IIA background and show that the
associated Hamiltonian system is both non-integrable and chaotic, implying the
non-integrability of the dual CFT. Our procedure is analytic, using well
developed mathematical techniques, and numerical, by the explicit calculation
of power spectra, Lyapunov coefficients and Poincar\'e sections.Comment: 28 pages plus appendices. Various figures. Some clarifications and
references adde
New perspectives for the prediction and statistical quantification of extreme events in high-dimensional dynamical systems
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Robustness of feedback stabilization of quasi non-integrable Hamiltonian systems with parametric uncertainty
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