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Resonance and Singularities (Q2874814)

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Language	Label	Description	Also known as
English	Resonance and Singularities	scientific article

Statements

scholarly article

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Resonance and Singularities (English)

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zbMATH Open document ID

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10.1007/978-3-642-38830-9_7

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Progress and Challenges in Dynamical Systems

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publication date

8 August 2014

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

oscillators

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resonances

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bifurcations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-38830-9_7

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Small denominators. I. Mappings of the circumference onto itself

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Generic singular spectrum for ergodic Schrödinger operators

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

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Pacer cell response to periodic Zeitgebers

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Huygens's clocks

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On a quasi-periodic Hopf bifurcation

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Unfoldings and bifurcations of quasi-periodic tori

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KAM theory: The legacy of Kolmogorov's 1954 paper

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Resonance and fractal geometry

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Geometrical aspects of stability theory for Hill's equations

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Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena

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Resonance tongues in Hill's equations: A geometric approach

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Dynamical systems and chaos

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Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension

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Generic Hopf–Neĭmark–Sacker bifurcations in feed-forward systems

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Towards global models near homoclinic tangencies of dissipative diffeomorphisms

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Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing

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The geometry of resonance tongues: a singularity theory approach

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Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach

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Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation

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Normal linear stability of quasi-periodic tori

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Robustness of unstable attractors in arbitrarily sized pulse-coupled networks with delay

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Heteroclinic cycles between unstable attractors

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On the Destruction of Resonant Lagrangean Tori in Hamiltonian Systems

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Recognition of the bifurcation type of resonance in mildly degenerate Hopf–Neĭmark–Sacker families

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Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble'

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The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol'd resonance web

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Quasi-periodic stability of normally resonant tori

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Geometry and dynamics of mildly degenerate Hopf–Neĭmarck–Sacker families near resonance

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Recognition of resonance type in periodically forced oscillators

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Chaos and quasi-periodicity in diffeomorphisms of the solid torus

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The dynamics of a low-order model for the Atlantic multidecadal oscillation

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Dynamics and geometry near resonant bifurcations

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Bifurcations de points fixes elliptiques. I: Courbes invariantes

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Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets)

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Bifurcations de points fixes elliptiques. III: Orbites périodiques de ``petites'' périodes et élimination résonnante des couples de courbes invariantes. (Bifurcations of elliptic fixed points. III: Periodic orbits with ``small'' periods and resonant elimination of pairs of invariant curves.)

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Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation

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Singularities and groups in bifurcation theory. Volume I

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Singularities and groups in bifurcation theory. Volume II

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A mathematical example displaying features of turbulence

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Elements of applied bifurcation theory

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Bifurcations and stability of families of diffeomorphisms

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

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Stable and Random Motions in Dynamical Systems

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An extension of a result by Dinaburg and Sinai on quasi-periodic potentials

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On the nature of turbulence

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Averaging methods in nonlinear dynamical systems

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Operators with singular continuous spectrum. I: General operators

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New nonlinear mechanisms of midlatitude atmospheric low-frequency variability

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

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Sitelinks

Mathematics(1 entry)

mardi Publication:2874814

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