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Quantitative quasiperiodicity (Q4597519)

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scientific article; zbMATH DE number 6818042

Language	Label	Description	Also known as
English	Quantitative quasiperiodicity	scientific article; zbMATH DE number 6818042

Statements

scholarly article

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Quantitative quasiperiodicity (English)

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Suddhasattwa Das

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Yoshitaka Saiki

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publication date

13 December 2017

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full work available at URL

https://arxiv.org/abs/1601.06051

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zbMATH Keywords

quasiperiodicity

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Birkhoff ergodic theorem

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Hamiltonian system

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rotation number

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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The Many Facets of Chaos

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Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)

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Frequency analysis of a dynamical system

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Frequency analysis for multi-dimensional systems. Global dynamics and diffusion

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On the numerical computation of Diophantine rotation numbers of analytic circle maps

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Numerical computation of rotation numbers of quasi-periodic planar curves

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Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods

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Ergodic averages with deterministic weights

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Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos

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Unfoldings of quasi-periodic tori in reversible systems

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Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems

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Dynamical stability of quasi-periodic response solutions in planar conservative systems

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Quasi-periodic perturbations within the reversible context 2 in KAM theory

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Unfoldings and bifurcations of quasi-periodic tori

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From chaos to quasi-periodicity

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Transitive homeomorphisms of the circle

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Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)

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Fractal properties of critical invariant curves

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Attractors on an N-torus: Quasiperiodicity versus chaos

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Resonance regions for families of torus maps

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Small denominators. I. Mappings of the circumference onto itself

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Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

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A proof of Oseledec's multiplicative ergodic theorem

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Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms

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Numerical computation of the asymptotic size of the rotation domain for the Arnold family

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A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi‐Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity

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The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

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KAM theory without action-angle variables

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Fast iteration of cocycles over rotations and computation of hyperbolic bundles

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Numerical computation of the normal behaviour of invariant curves of<i>n</i>-dimensional maps

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Continuation of Quasi-periodic Invariant Tori

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A KAM theorem without action-angle variables for elliptic lower dimensional tori

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Lagrangian tori near resonances of near-integrable Hamiltonian systems

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Identifiers

zbMATH Open document ID

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10.1088/1361-6544/aa84c2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4597519

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