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1

Arnold diffusion in perturbations of analytic exact symplectic maps

Ernest Fontich, Pau Martı́n

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2000

Language:

english

File:

PDF, 136 KB

english, 2000

2

Homoclinic orbits to parabolic points

Josefina Casasayas, Ernest Fontich, Ana Nunes

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

1997

Language:

english

File:

PDF, 333 KB

english, 1997

3

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

4

Dynamical role of the degree of intraspecific cooperation: A simple model for prebiotic replicators and ecosystems

Ernest Fontich, Josep Sardanyés

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2009

Language:

english

File:

PDF, 1.35 MB

english, 2009

5

Exponentially small splitting of separatrices in a weakly hyperbolic case

Inmaculada Baldomá, Ernest Fontich

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 370 KB

english, 2005

6

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

7

Invariant manifolds of dynamical systems close to a rotation: Transverse to the rotation axis

Patrick Bonckaert, Ernest Fontich

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 335 KB

english, 2005

8

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

9

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

10

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

11

Invariant manifolds of maps close to a product of rotations: close to the rotation axis

Patrick Bonckaert, Ernest Fontich

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 289 KB

english, 2003

12

Hamiltonian systems with orbits covering densely submanifolds of small codimension

Ernest Fontich, Pau Martı́n

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2003

Language:

english

File:

PDF, 152 KB

english, 2003

13

Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

Antonio Giorgilli, Amadeo Delshams, Ernest Fontich, Luigi Galgani, Carles Simó

Journal:

Journal of Differential Equations

Year:

1989

Language:

english

File:

PDF, 1.35 MB

english, 1989

14

Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results

Inmaculada Baldomá, Ernest Fontich, Marcel Guardia, Tere M. Seara

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 1.60 MB

english, 2012

15

The parameterization method for one- dimensional invariant manifolds of higher dimensional parabolic fixed points

Martín, Pau, Llave, Rafael, Fontich, Ernest, Baldomá, Inmaculada

Journal:

Discrete and Continuous Dynamical Systems

Year:

2007

Language:

english

File:

PDF, 374 KB

english, 2007

16

ON THE METAPOPULATION DYNAMICS OF AUTOCATALYSIS: EXTINCTION TRANSIENTS RELATED TO GHOSTS

SARDANYÉS, JOSEP, FONTICH, ERNEST

Journal:

International Journal of Bifurcation and Chaos

Year:

2010

Language:

english

File:

PDF, 1.21 MB

english, 2010

17

Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices

Fontich, Ernest, de la Llave, Rafael, Sire, Yannick

Journal:

Journal of Differential Equations

Year:

2015

Language:

english

File:

PDF, 4.42 MB

english, 2015

18

Bifurcations analysis of oscillating hypercycles

Guillamon, Antoni, Fontich, Ernest, Sardanyés, Josep

Journal:

Journal of Theoretical Biology

Year:

2015

Language:

english

File:

PDF, 1.06 MB

english, 2015

19

Full analysis of small hypercycles with short-circuits in prebiotic evolution

Sardanyés, Josep, Tomás Lázaro, J., Guillamon, Antoni, Fontich, Ernest

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 5.44 MB

english, 2017

20

Bifurcation Gaps in Asymmetric and High-Dimensional Hypercycles

Puig, Júlia, Farré, Gerard, Guillamon, Antoni, Fontich, Ernest, Sardanyés, Josep

Journal:

International Journal of Bifurcation and Chaos

Year:

2018

Language:

english

File:

PDF, 2.14 MB

english, 2018

21

[WORLD SCIENTIFIC Proceedings of the International Conference on Differential Equations - Hasselt, Belgium (22 – 26 July 2003)] EQUADIFF 2003 - INVARIANT MANIFOLDS OF NEAR ROTATION MAPS

BONCKAERT, PATRICK, FONTICH, ERNEST

File:

PDF, 196 KB

22

On the “Hidden” Harmonics Associated to Best Approximants Due to Quasi-periodicity in Splitting Phenomena

Fontich, Ernest, Simó, Carles, Vieiro, Arturo

Journal:

Regular and Chaotic Dynamics

Year:

2018

Language:

english

File:

PDF, 720 KB

english, 2018

23

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

Cabre, Xavier, Fontich, Ernest, de la Llave, Rafael

Journal:

Indiana University Mathematics Journal

Year:

2003

Language:

english

File:

PDF, 324 KB

english, 2003

24

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

Cabre, Xavier, Fontich, Ernest, de la Llave, Rafael

Journal:

Indiana University Mathematics Journal

Year:

2003

Language:

english

File:

PDF, 398 KB

english, 2003

25

Whiskered Parabolic Tori in the Planar $$(n+1)$$ ( n + 1 ) -Body Problem

Baldomá, Inmaculada, Fontich, Ernest, Martín, Pau

Journal:

Communications in Mathematical Physics

Year:

2019

Language:

english

File:

PDF, 625 KB

english, 2019

26

Invariant manifolds of parabolic fixed points (I). Existence and dependence on parameters

Baldomá, Inmaculada, Fontich, Ernest, Martín, Pau

Journal:

Journal of Differential Equations

Year:

2019

File:

PDF, 2.16 MB

2019

27

Invariant manifolds of parabolic fixed points (II). Approximations by sums of homogeneous functions

BaldomÃ¡, Inmaculada, Fontich, Ernest, MartÃn, Pau

Journal:

Journal of Differential Equations

Year:

2020

File:

PDF, 628 KB

2020

28

Dynamical effects of loss of cooperation in discrete-time hypercycles

Perona, JÃºlia, Fontich, Ernest, SardanyÃ©s, Josep

Journal:

Physica D: Nonlinear Phenomena

Year:

2020

Language:

english

File:

PDF, 7.60 MB

english, 2020

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