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Computation of Quasiperiodic Normally Hyperbolic Invariant Tori: Rigorous Results

Journal of nonlinear science, 2017-12, Vol.27 (6), p.1869-1904

2017

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Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown

Journal of nonlinear science, 2017-12, Vol.27 (6), p.1829-1868

2017

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Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles

Foundations of computational mathematics, 2022-06, Vol.22 (3), p.791-847

2022

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The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations

1, 2016

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Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

Chaos (Woodbury, N.Y.), 2015-12, Vol.25 (12)

2015

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On the sharpness of the Rüssmann estimates

Communications in nonlinear science & numerical simulation, 2018-02, Vol.55, p.42-55

2018

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On strange attractors in a class of pinched skew products

Discrete and continuous dynamical systems. Series A, 2012-02, Vol.32 (2), p.605-617

Haro, Àlex

2012

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Recurrences following treatment of proliferative verrucous leukoplakia: A systematic review and meta‐analysis

Journal of oral pathology & medicine, 2021-09, Vol.50 (8), p.820-828

2021

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Reliable Computation of Robust Response Tori on the Verge of Breakdown

SIAM journal on applied dynamical systems, 2012-01, Vol.11 (2), p.597-628

2012

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

Discrete and continuous dynamical systems. Series S, 2016-08, Vol.9 (4), p.1095-1107

2016

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Strange nonchaotic attractors in Harper maps

Chaos (Woodbury, N.Y.), 2006-09, Vol.16 (3), p.033127-033127-7

2006

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Triple collisions of invariant bundles

Discrete and continuous dynamical systems. Series B, 2013-10, Vol.18 (8), p.2069-2082

2013

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A geometric description of a macroeconomic model with a center manifold

Journal of economic dynamics & control, 2009-06, Vol.33 (6), p.1217-1235

2009

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Global bifurcations, credit rationing and recurrent hyperinflations

Journal of economic dynamics & control, 2007-02, Vol.31 (2), p.473-491

2007

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A Newton-like Method for Computing Normally Hyperbolic Invariant Tori

The Parameterization Method for Invariant Manifolds, 2016, Vol.195, p.187-238

2016

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Egg-Mass Abundance and Within-Pool Characteristics for Three Species of Vernal Pool-Dependent Amphibians in a Massachusetts State Forest

Northeastern naturalist, 2024-06, Vol.31 (2)

2024

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An Overview of the Parameterization Method for Invariant Manifolds

The Parameterization Method for Invariant Manifolds, 2016, Vol.195, p.1-28

2016

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Push and pull of downstream moving juvenile sea lamprey (Petromyzon marinus) exposed to chemosensory and light cues

Conservation physiology, 2019-01, Vol.7 (1), p.1-coz080

2019

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A-posteriori KAM theory with optimal estimates for partially integrable systems

Journal of Differential Equations, 2019-01, Vol.266 (2-3), p.1605-1674

2019

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The Parameterization Method in KAM Theory

The Parameterization Method for Invariant Manifolds, 2016, Vol.195, p.119-185

2016

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Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points

The Parameterization Method for Invariant Manifolds, 2016, Vol.195, p.29-73

2016

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Evidence for cumulative temperature as an initiating and terminating factor in downstream migratory behavior of Atlantic salmon ( Salmo salar ) smolts

Canadian journal of fisheries and aquatic sciences, 2005-01, Vol.62 (1), p.68-78

2005

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Computer-assisted proofs of existence of fiberwise hyperbolic invariant tori in quasi-periodic systems via Fourier methods

Discrete and continuous dynamical systems. Series B, 2024

2024

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The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics

The Parameterization Method for Invariant Manifolds, 2016, Vol.195, p.75-117

2016

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

Discrete and continuous dynamical systems. Series B, 2006, Vol.6 (6), p.1261-1300

2006

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Computation of Quasiperiodic Normally Hyperbolic Invariant Tori: Rigorous Results

Computation of Quasi-Periodic Normally Hyperbolic Invariant Tori: Algorithms, Numerical Explorations and Mechanisms of Breakdown

Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles

The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations

Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps

On the sharpness of the Rüssmann estimates

On strange attractors in a class of pinched skew products

Recurrences following treatment of proliferative verrucous leukoplakia: A systematic review and meta‐analysis

Reliable Computation of Robust Response Tori on the Verge of Breakdown

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

Strange nonchaotic attractors in Harper maps

Triple collisions of invariant bundles

A geometric description of a macroeconomic model with a center manifold

Global bifurcations, credit rationing and recurrent hyperinflations

A Newton-like Method for Computing Normally Hyperbolic Invariant Tori

Egg-Mass Abundance and Within-Pool Characteristics for Three Species of Vernal Pool-Dependent Amphibians in a Massachusetts State Forest

An Overview of the Parameterization Method for Invariant Manifolds

Push and pull of downstream moving juvenile sea lamprey (Petromyzon marinus) exposed to chemosensory and light cues

A-posteriori KAM theory with optimal estimates for partially integrable systems

The Parameterization Method in KAM Theory

Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points

Evidence for cumulative temperature as an initiating and terminating factor in downstream migratory behavior of Atlantic salmon ( Salmo salar ) smolts

Computer-assisted proofs of existence of fiberwise hyperbolic invariant tori in quasi-periodic systems via Fourier methods

The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics

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

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