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Transition state theory with quasi-periodic forcing (Q2207898)

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Language	Label	Description	Also known as
English	Transition state theory with quasi-periodic forcing	scientific article

Statements

scholarly article

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Transition state theory with quasi-periodic forcing (English)

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Rafael de la Llave

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Communications in Nonlinear Science and Numerical Simulation

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publication date

23 October 2020

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zbMATH Keywords

transition state theory

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quasi-periodic systems

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normally hyperbolic invariant manifolds

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2018.02.014

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Approximately invariant manifolds and global dynamics of spike states

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Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems

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Universal asymptotics in hyperbolicity breakdown

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Computation of maximal local (un)stable manifold patches by the parameterization method

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Algorithms for computing normally hyperbolic invariant manifolds

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

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The parameterization method for invariant manifolds II: regularity with respect to parameters

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The parameterization method for invariant manifolds. III: Overview and applications

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Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map

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Computation of quasi-periodic normally hyperbolic invariant tori: algorithms, numerical explorations and mechanisms of breakdown

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Covering relations and the existence of topologically normally hyperbolic invariant sets

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Computer assisted proof for normally hyperbolic invariant manifolds

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Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds

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Geometric proof for normally hyperbolic invariant manifolds

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Persistance et bifurcation de tores invariants

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Invariant manifolds associated to nonresonant spectral subspaces

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Reliable Computation of Robust Response Tori on the Verge of Breakdown

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Triple collisions of invariant bundles

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Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

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A note on the fractalization of saddle invariant curves in quasiperiodic systems

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Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators

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Manifolds on the verge of a hyperbolicity breakdown

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A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms

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A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results

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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. From rigorous results to effective computations

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Fast iteration of cocycles over rotations and computation of hyperbolic bundles

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Quasi-genericity of bifurcations to high dimensional invariant tori for maps

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Parameterization of slow-stable manifolds and their invariant vector bundles: theory and numerical implementation

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Dédoublement de courbes invariantes sur le cylindre: petits diviseurs. (Small divisors phenomena in an invariant curve doubling bifurcation on a cylinder)

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Nonnormally hyperbolic invariant curves for maps in R<sup>3</sup>and doubling bifurcation

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Persistent manifolds are normally hyperbolic

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Bifurcations of transition states: Morse bifurcations

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Tools to detect structures in dynamical systems using jet transport

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Note on sums containing small divisors

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Bifurcation of higher dimensional Tori

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Breakdown mechanisms of normally hyperbolic invariant manifolds in terms of unstable periodic orbits and homoclinic/heteroclinic orbits in Hamiltonian systems

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The geometry of reaction dynamics

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Wigner's dynamical transition state theory in phase space: classical and quantum

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Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting

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Identifiers

zbMATH Open document ID

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10.1016/j.cnsns.2018.02.014

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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:2207898

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