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1

Computing Some Integrals by Computing Derivatives

Journal:

American Mathematical Monthly

Year:

2015

Language:

english

File:

PDF, 105 KB

english, 2015

2

Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows

Amadeu Delshams, Rafael de la Llave, Tere M. Seara

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 1.03 MB

english, 2006

3

Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems

Calleja, Renato C, Celletti, Alessandra, de la Llave, Rafael

Journal:

Year:

2017

Language:

english

File:

PDF, 2.83 MB

english, 2017

4

Geometric properties of the scattering map of a normally hyperbolic invariant manifold

Amadeu Delshams, Rafael de la Llave, Tere M. Seara

Journal:

Advances in Mathematics

Year:

2008

Language:

english

File:

PDF, 534 KB

english, 2008

5

Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations

de la Llave, Rafael, Kogelbauer, Florian

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2019

Language:

english

File:

PDF, 814 KB

english, 2019

6

Construction of quasi-periodic solutions of delay differential equations via KAM techniques

Xuemei Li, Rafael de la Llave

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 438 KB

english, 2009

7

Linear Response Function for Coupled Hyperbolic Attractors

Miaohua Jiang, Rafael de la Llave

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 274 KB

english, 2006

8

A Smooth Center Manifold Theorem which Applies to Some Ill-Posed Partial Differential Equations with Unbounded Nonlinearities

Rafael de la Llave

Journal:

Journal of Dynamics and Differential Equations

Year:

2009

Language:

english

File:

PDF, 505 KB

english, 2009

9

Differentiability at the Tip of Arnold Tongues for Diophantine Rotations: Numerical Studies and Renormalization Group Explanations

Rafael de la Llave, Alejandro Luque

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 1.70 MB

english, 2011

10

Multiplicity results for interfaces of Ginzburg–Landau–Allen–Cahn equations in periodic media

Rafael de la Llave, Enrico Valdinoci

Journal:

Advances in Mathematics

Year:

2007

Language:

english

File:

PDF, 357 KB

english, 2007

11

KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media

Su, Xifeng, de la Llave, Rafael

Journal:

SIAM Journal on Mathematical Analysis

Year:

2012

Language:

english

File:

PDF, 326 KB

english, 2012

12

On Squirt Singularities in Hydrodynamics

Córdoba, Diego, Fefferman, Charles, de la Llave, Rafael

Journal:

SIAM Journal on Mathematical Analysis

Year:

2004

Language:

english

File:

PDF, 148 KB

english, 2004

13

Regularity of the composition operator in spaces of Hölder functions

Obaya, R., Llave, Rafael

Journal:

Discrete and Continuous Dynamical Systems

Year:

1998

Language:

english

File:

PDF, 324 KB

english, 1998

14

Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence

Huguet, Gemma, de la Llave, Rafael

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 4.67 MB

english, 2013

15

Cohomology Equations and Commutators of Germs of Contact Diffeomorphisms

Augustin Banyaga, Rafael de la Llave and C. Eugene Wayne

Journal:

Transactions of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 1.55 MB

english, 1989

16

A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification

Calleja, Renato, de la Llave, Rafael

Journal:

Year:

2010

Language:

english

File:

PDF, 8.31 MB

english, 2010

17

KAM tori and whiskered invariant tori for non-autonomous systems

Canadell, Marta, de la Llave, Rafael

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 427 KB

english, 2015

18

Invariant Pre-Foliations for Non-Resonant Non-Uniformly Hyperbolic Systems

Ernest Fontich, Rafael de la Llave and Pau Martín

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 2.08 MB

english, 2006

19

Instability of high dimensional Hamiltonian systems: Multiple resonances do not impede diffusion

Delshams, Amadeu, de la Llave, Rafael, Seara, Tere M.

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 1011 KB

english, 2016

20

Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification

Capiński, Maciej J, Gidea, Marian, de la Llave, Rafael

Journal:

Year:

2017

Language:

english

File:

PDF, 2.74 MB

english, 2017

21

A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results

Gidea, Marian, Llave, Rafael, M‐Seara, Tere

Journal:

Communications on Pure and Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 501 KB

english, 2019

22

Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations

de la Llave, Rafael, Kogelbauer, Florian

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2019

File:

PDF, 814 KB

2019

23

Planelike minimizers in periodic media

Luis A. Caffarelli, Rafael de la Llave

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 208 KB

english, 2001

24

Computation of domains of analyticity for some perturbative expansions of mechanics

Rafael de la Llave, Stathis Tompaidis

Journal:

Physica D: Nonlinear Phenomena

Year:

1994

Language:

english

File:

PDF, 1.59 MB

english, 1994

25

Size and shape of stability domains in complex analytic dynamics

Rafael de la Llave

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1984

Language:

english

File:

PDF, 184 KB

english, 1984

26

A generalization of Aubry–Mather theory to partial differential equations and pseudo-differential equations

Rafael de la Llave, Enrico Valdinoci

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

Language:

english

File:

PDF, 353 KB

english, 2009

27

Comment on “Reconnection scenarios…” Chaos Solitons and Fractals 2002;14(1):117–127

Amit Apte, Rafael de la Llave, Emilia Petrisor

Journal:

Chaos, Solitons & Fractals

Year:

2006

Language:

english

File:

PDF, 83 KB

english, 2006

28

The parameterization method for invariant manifolds III: overview and applications

Xavier Cabré, Ernest Fontich, Rafael de la Llave

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 564 KB

english, 2005

29

Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions

Ernest Fontich, Rafael de la Llave, Yannick Sire

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 702 KB

english, 2009

30

Dynamical systems on lattices with decaying interaction I: A functional analysis framework

Ernest Fontich, Rafael de la Llave, Pau Martín

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 507 KB

english, 2011

31

Dynamical systems on lattices with decaying interaction II: Hyperbolic sets and their invariant manifolds

Ernest Fontich, Rafael de la Llave, Pau Martín

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 429 KB

english, 2011

32

Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall

Nikola P. Petrov, Rafael de la Llave, John A. Vano

Journal:

Physica D: Nonlinear Phenomena

Year:

2003

Language:

english

File:

PDF, 751 KB

english, 2003

33

A rigorous partial justification of Greene's criterion

Corrado Falcolini, Rafael de la Llave

Journal:

Journal of Statistical Physics

Year:

1992

Language:

english

File:

PDF, 1.47 MB

english, 1992

34

Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors

Corrado Falcolini, Rafael de la Llave

Journal:

Journal of Statistical Physics

Year:

1992

Language:

english

File:

PDF, 945 KB

english, 1992

35

A renormalization group explanation of numerical observations of analyticity domains

Rafael de la Llave

Journal:

Journal of Statistical Physics

Year:

1992

Language:

english

File:

PDF, 137 KB

english, 1992

36

Invariant manifolds associated to nonresonant spectral subspaces

Journal:

Journal of Statistical Physics

Year:

1997

Language:

english

File:

PDF, 1.75 MB

english, 1997

37

On Irwin’s proof of the pseudostable manifold theorem

Rafael de la Llave, C. Eugene Wayne

Journal:

Mathematische Zeitschrift

Year:

1995

Language:

english

File:

PDF, 1.02 MB

english, 1995

38

KAM Theory for Equilibrium States in 1-D Statistical Mechanics Models

Rafael de la Llave

Journal:

Annales Henri Poincaré

Year:

2008

Language:

english

File:

PDF, 696 KB

english, 2008

39

Smooth Dependence of Thermodynamic Limits¶of SRB-Measures

Miaohua Jiang, Rafael de la Llave

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 227 KB

english, 2000

40

Ground States and Critical Points for Aubry–Mather Theory in

Rafael de la Llave, Enrico Valdinoci

Journal:

Journal of Nonlinear Science

Year:

2010

Language:

english

File:

PDF, 1.15 MB

english, 2010

41

Interfaces of Ground States in Ising Models with Periodic Coefficients

Luis A. Caffarelli, Rafael de la Llave

Journal:

Journal of Statistical Physics

Year:

2005

Language:

english

File:

PDF, 226 KB

english, 2005

42

Critical Points Inside the Gaps of Ground State Laminations for Some Models in Statistical Mechanics

Rafael de la Llave, Enrico Valdinoci

Journal:

Journal of Statistical Physics

Year:

2007

Language:

english

File:

PDF, 681 KB

english, 2007

43

Computation of the Breakdown of Analyticity in

Renato Calleja, Rafael de la Llave

Journal:

Journal of Statistical Physics

Year:

2010

Language:

english

File:

PDF, 1.75 MB

english, 2010

44

Combination Laws for Scaling Exponents and Relation to the Geometry of Renormalization Operators

Rafael de la Llave, Arturo Olvera, Nikola P. Petrov

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 1.02 MB

english, 2011

45

Deep Tissue Hypersensitivity to Pressure Pain in Individuals with Unilateral Acute Inversion Ankle Sprain

María D. Ramiro-González, Roberto Cano-de-la-Cuerda, Ana I. De-la-Llave-Rincón, Juan C. Miangolarra-Page, Rafael Zarzoso-Sánchez, César Fernández-de-las-Peñas

Journal:

Year:

2012

Language:

english

File:

PDF, 323 KB

english, 2012

46

KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps

Delshams, Amadeu, de la Llave, Rafael

Journal:

SIAM Journal on Mathematical Analysis

Year:

2000

Language:

english

File:

PDF, 322 KB

english, 2000

47

Invariant Manifolds for Analytic Difference Equations

de la Llave, Rafael, Lomelí, Héctor E.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 494 KB

english, 2012

48

Percival Lagrangian approach to the Aubry–Mather theory

Xifeng Su, Rafael de la Llave

Journal:

Expositiones Mathematicae

Year:

2012

Language:

english

File:

PDF, 284 KB

english, 2012

49

A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2}

Amadeu Delshams, Rafael de la Llave, Tere M. Seara

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 294 KB

english, 2000

50

Tracing KAM Tori in Presymplectic Dynamical Systems

Hassan Najafi Alishah, Rafael de la Llave

Journal:

Journal of Dynamics and Differential Equations

Year:

2012

Language:

english

File:

PDF, 383 KB

english, 2012