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1

Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift–Hohenberg Equation

van den Berg, Jan Bouwe, Lessard, Jean-Philippe

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 697 KB

english, 2008

2

Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence

Burgos-García, Jaime, Lessard, Jean-Philippe, James, J. D. Mireles

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2019

Language:

english

File:

PDF, 2.21 MB

english, 2019

3

Existence of secondary bifurcations or isolas for PDEs

Marcio Gameiro, Jean-Philippe Lessard

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 358 KB

english, 2011

4

Inferring local ecological processes amid species pool influences

Lessard, Jean-Philippe, Belmaker, Jonathan, Myers, Jonathan A., Chase, Jonathan M., Rahbek, Carsten

Journal:

Trends in Ecology & Evolution

Year:

2012

Language:

english

File:

PDF, 1.44 MB

english, 2012

5

Rigorous numerics for piecewise-smooth systems: A functional analytic approach based on Chebyshev series

Gameiro, Marcio, Lessard, Jean-Philippe, Ricaud, Yann

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 542 KB

english, 2015

6

Computation of Smooth Manifolds Via Rigorous Multi-parameter Continuation in Infinite Dimensions

Gameiro, Marcio, Lessard, Jean-Philippe, Pugliese, Alessandro

Journal:

Foundations of Computational Mathematics

Year:

2016

Language:

english

File:

PDF, 4.90 MB

english, 2016

7

Rapidly and Slowly Oscillating Periodic Solutions of a Delayed Van der Pol Oscillator

Kiss, Gabor, Lessard, Jean-Philippe

Journal:

Journal of Dynamics and Differential Equations

Year:

2017

Language:

english

File:

PDF, 694 KB

english, 2017

8

Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation

Castelli, Roberto, Gameiro, Marcio, Lessard, Jean-Philippe

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

Language:

english

File:

PDF, 2.26 MB

english, 2018

9

Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation

Jean-Philippe Lessard

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 348 KB

english, 2010

10

Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs

Marcio Gameiro, Jean-Philippe Lessard

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 1.21 MB

english, 2010

11

Validated continuation over large parameter ranges for equilibria of PDEs

Marcio Gameiro, Jean-Philippe Lessard, Konstantin Mischaikow

Journal:

Mathematics and Computers in Simulation

Year:

2008

Language:

english

File:

PDF, 582 KB

english, 2008

12

Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation

Marcio Gameiro, Jean-Philippe Lessard

Journal:

Numerische Mathematik

Year:

2011

Language:

english

File:

PDF, 632 KB

english, 2011

13

Temperature, but not productivity or geometry, predicts elevational diversity gradients in ants across spatial grains

Nathan J. Sanders, Jean-Philippe Lessard, Matthew C. Fitzpatrick, Robert R. Dunn

Journal:

Global Ecology and Biogeography

Year:

2007

Language:

english

File:

PDF, 285 KB

english, 2007

14

Determinants of the detrital arthropod community structure: the effects of temperature and resources along an environmental gradient

Jean-Philippe Lessard, Tara E. Sackett, William N. Reynolds, David A. Fowler, Nathan J. Sanders

Journal:

Year:

2011

Language:

english

File:

PDF, 1.70 MB

english, 2011

15

The Tropical Ant Mosaic in a Primary Bornean Rain Forest

Diane W Davidson, Jean-Philippe Lessard, Christopher R. Bernau, Steven C. Cook

Journal:

Year:

2007

Language:

english

File:

PDF, 161 KB

english, 2007

16

Equivalence in the strength of deer herbivory on above and below ground communities

Jean-Philippe Lessard, W. Nicholas Reynolds, Windy A. Bunn, Mark A. Genung, Melissa A. Cregger, Emmi Felker-Quinn, M. Noelia Barrios-Garcia, Mary L. Stevenson, R. Michael Lawton, Claire B. Brown, Magg

Journal:

Basic and Applied Ecology

Year:

2012

File:

PDF, 583 KB

2012

17

Computational fixed-point theory for differential delay equations with multiple time lags

Gábor Kiss, Jean-Philippe Lessard

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 519 KB

english, 2012

18

Administration of probiotics influences F4 (K88)-positive enterotoxigenicEscherichia coliattachment and intestinal cytokine expression in weaned pigs

Jean-François Daudelin, Martin Lessard, Frédéric Beaudoin, Éric Nadeau, Nathalie Bissonnette, Yvan Boutin, Jean-Philippe Brousseau, Karoline Lauzon, John Morris Fairbrother

Journal:

Veterinary Research

Year:

2011

Language:

english

File:

PDF, 606 KB

english, 2011

19

Validated Continuation for Equilibria of PDEs

Day, Sarah, Lessard, Jean-Philippe, Mischaikow, Konstantin

Journal:

SIAM Journal on Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 290 KB

english, 2007

20

Evolutionary history influences the effects of water-energy dynamics on oak diversity in Asia

Xu, Xiaoting, Wang, Zhiheng, Rahbek, Carsten, Lessard, Jean-Philippe, Fang, Jingyun, Burns, K. C.

Journal:

Journal of Biogeography

Year:

2013

Language:

english

File:

PDF, 833 KB

english, 2013

21

Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates

Gameiro, Marcio, Lessard, Jean-Philippe

Journal:

SIAM Journal on Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 1.42 MB

english, 2013

22

Introducing the biogeographic species pool

Carstensen, Daniel Wisbech, Lessard, Jean-Philippe, Holt, Ben G., Krabbe Borregaard, Michael, Rahbek, Carsten

Journal:

Year:

2013

Language:

english

File:

PDF, 824 KB

english, 2013

23

Multiple waves of colonization by monarch flycatchers ( Myiagra , Monarchidae) across the Indo-Pacific and their implications for coexistence and speciation

Fabre, Pierre-Henri, Moltensen, Maria, Fjeldså, Jon, Irestedt, Martin, Lessard, Jean-Philippe, Jønsson, Knud A., Carine, Mark

Journal:

Journal of Biogeography

Year:

2014

Language:

english

File:

PDF, 736 KB

english, 2014

24

Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits

Castelli, Roberto, Lessard, Jean-Philippe

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 2.86 MB

english, 2013

25

Comparison of oral and intravenous Alfacalcidol in chronic hemodialysis patients

Lessard, Myriam, Ouimet, Denis, Leblanc, Martine, Nadeau-Fredette, Annie-Claire, Bell, Robert, Lafrance, Jean-Philippe, Pichette, Vincent, Vallée, Michel

Journal:

Year:

2014

Language:

english

File:

PDF, 161 KB

english, 2014

26

Niche filtering rather than partitioning shapes the structure of temperate forest ant communities

Fowler, David, Lessard, Jean-Philippe, Sanders, Nathan J., Tylianakis, Jason

Journal:

Journal of Animal Ecology

Year:

2014

Language:

english

File:

PDF, 336 KB

english, 2014

27

Computer Assisted Proof of Transverse Saddle-to-Saddle Connecting Orbits for First Order Vector Fields

Lessard, Jean-Philippe, Mireles James, Jason D., Reinhardt, Christian

Journal:

Journal of Dynamics and Differential Equations

Year:

2014

Language:

english

File:

PDF, 845 KB

english, 2014

28

The Tropical Ant Mosaic in a Primary Bornean Rain Forest

Diane W. Davidson, Jean-Philippe Lessard, Christopher R. Bernau and Steven C. Cook

Journal:

Year:

2007

Language:

english

File:

PDF, 1.60 MB

english, 2007

29

Global Bifurcation Diagrams of Steady States of Systems of PDEs via Rigorous Numerics: a 3-Component Reaction-Diffusion System

Breden, Maxime, Lessard, Jean-Philippe, Vanicat, Matthieu

Journal:

Acta Applicandae Mathematicae

Year:

2013

Language:

english

File:

PDF, 2.63 MB

english, 2013

30

Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray–Scott Equation

van den Berg, Jan Bouwe, Mireles-James, Jason D., Lessard, Jean-Philippe, Mischaikow, Konstantin

Journal:

SIAM Journal on Mathematical Analysis

Year:

2011

Language:

english

File:

PDF, 778 KB

english, 2011

31

Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series

Lessard, Jean-Philippe, Reinhardt, Christian

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 1.22 MB

english, 2014

32

Fire ants are drivers of biodiversity loss: a reply to King and Tschinkel (2013)

STUBLE, KATHARINE L., CHICK, LACY D., RODRIGUEZ-CABAL, MARIANO A., LESSARD, JEAN-PHILIPPE, SANDERS, NATHAN J.

Journal:

Ecological Entomology

Year:

2013

Language:

english

File:

PDF, 454 KB

english, 2013

33

The evolution of morphological diversity in continental assemblages of passerine birds

Jønsson, Knud Andreas, Lessard, Jean-Philippe, Ricklefs, Robert E.

Journal:

Year:

2015

Language:

english

File:

PDF, 583 KB

english, 2015

34

Blow-up profile for solutions of a fourth order nonlinear equation

D’Ambrosio, Lorenzo, Lessard, Jean-Philippe, Pugliese, Alessandro

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 1.74 MB

english, 2015

35

Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: A computer-assisted proof

CORREC, ANAÏS, LESSARD, JEAN-PHILIPPE

Journal:

European Journal of Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 869 KB

english, 2015

36

The effects of urbanization on ant assemblages (Hymenoptera: Formicidae) associated with the Molson Nature Reserve, Quebec

Lessard, Jean-Philippe, Buddle, Christopher M.

Journal:

The Canadian Entomologist

Year:

2005

File:

PDF, 344 KB

2005

37

The importance of parasite geography and spillover effects for global patterns of host-parasite associations in two invasive species

Wells, Konstans, O'Hara, Robert B., Morand, Serge, Lessard, Jean-Philippe, Ribas, Alexis, Beggs, Jacqueline

Journal:

Diversity and Distributions

Year:

2015

Language:

english

File:

PDF, 412 KB

english, 2015

38

Linking environmental filtering and disequilibrium to biogeography with a community climate framework

Blonder, Benjamin, Nogués-Bravo, David, Borregaard, Michael K., Donoghue, John C., Jørgensen, Peter M., Kraft, Nathan J. B., Lessard, Jean-Philippe, Morueta-Holme, Naia, Sandel, Brody, Svenning, Jens-

Journal:

Year:

2015

Language:

english

File:

PDF, 1.94 MB

english, 2015

39

Invasive ants alter the phylogenetic structure of ant communities

Lessard, Jean-Philippe, Fordyce, James A., Gotelli, Nicholas J., Sanders, Nathan J.

Journal:

Year:

2009

Language:

english

File:

PDF, 171 KB

english, 2009

40

The importance of natural habitats to Brazilian free-tailed bats in intensive agricultural landscapes in the Winter Garden region of Texas, United States

Davidai, Noa, Westbrook, John K., Lessard, Jean-Philippe, Hallam, Thomas G., McCracken, Gary F.

Journal:

Biological Conservation

Year:

2015

Language:

english

File:

PDF, 910 KB

english, 2015

41

Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form

Castelli, Roberto, Lessard, Jean-Philippe, Mireles James, J. D.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2015

Language:

english

File:

PDF, 2.69 MB

english, 2015

42

Rarity and Diversity in Forest Ant Assemblages of Great Smoky Mountains National Park

Lessard, Jean-Philippe, Dunn, Robert R., Parker, Charles R., Sanders, Nathan J.

Journal:

Southeastern Naturalist

Year:

2007

Language:

english

File:

PDF, 1003 KB

english, 2007

43

Invasive Ants Alter the Phylogenetic Structure of Ant Communities

Jean-Philippe Lessard, James A. Fordyce, Nicholas J. Gotelli and Nathan J. Sanders

Journal:

Year:

2009

Language:

english

File:

PDF, 1004 KB

english, 2009

44

Process-Based Species Pools Reveal the Hidden Signature of Biotic Interactions Amid the Influence of Temperature Filtering

Lessard, Jean-Philippe, Weinstein, Ben G., Borregaard, Michael K., Marske, Katharine A., Martin, Danny R., McGuire, Jimmy A., Parra, Juan L., Rahbek, Carsten, Graham, Catherine H.

Journal:

American Naturalist

Year:

2016

Language:

english

File:

PDF, 2.36 MB

english, 2016

45

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

Breden, Maxime, Lessard, Jean-Philippe, Mireles James, Jason D.

Journal:

Indagationes Mathematicae

Year:

2015

Language:

english

File:

PDF, 763 KB

english, 2015

46

Validated Continuation for Equilibria of PDEs

Sarah Day, Jean-Philippe Lessard and Konstantin Mischaikow

Journal:

SIAM Journal on Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 1.76 MB

english, 2007

47

Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach

Hungria, Allan, Lessard, Jean-Philippe, Mireles James, J. D.

Journal:

Mathematics of Computation

Year:

2015

Language:

english

File:

PDF, 564 KB

english, 2015

48

The Great Smoky Mountains National Park All Taxa Biodiversity Inventory: A Search for Species in Our Own Backyard || Rarity and Diversity in Forest Ant Assemblages of Great Smoky Mountains National Park

Jean-Philippe Lessard, Robert R. Dunn, Charles R. Parker and Nathan J. Sanders

Journal:

Southeastern Naturalist

Year:

2007

Language:

english

File:

PDF, 1.49 MB

english, 2007

49

Analytic enclosure of the fundamental matrix solution

Castelli, Roberto, Lessard, Jean-Philippe, Mireles James, Jason D.

Journal:

Applications of Mathematics

Year:

2015

Language:

english

File:

PDF, 187 KB

english, 2015

50

Automatic differentiation for Fourier series and the radii polynomial approach

Lessard, Jean-Philippe, Mireles James, J.D., Ransford, Julian

Journal:

Physica D: Nonlinear Phenomena

Year:

2016

Language:

english

File:

PDF, 964 KB

english, 2016