Education

University of Waterloo, Waterloo, ON

Ph.D. in Applied Mathematics, May 1995

Thesis title: On the 1:2 Resonant Hopf Bifurcation

Supervisor: William F. Langford

 

University of Waterloo, Waterloo, ON

M.Math. in Applied Mathematics, May 1991

Thesis title: Dynamical Systems Analysis of Magnetic OSH Class A Cosmologies

Supervisor: John Wainwright

 

Université de Moncton, Moncton, NB

B.Sc. with Honors in Physics, May 1989

 

Scholarships and Prizes

 

University of Ottawa APUO Award for Excellence in Teaching, 2016

 

University of Ottawa Excellence in Education Prize, 2014-15

 

Faculty of Science Award for Excellence in Teaching, 2014-15

 

Recipient of the Alumnus of the Year Award, Faculté des sciences, Université de Moncton February 2011

 

Premier's Research Excellence Award March 2002 - March 2007

 

NSERC Postdoctoral Fellowship Sept. 1995 - Aug. 1996 (University of Houston)

 

NSERC 1967 Science and Engineering Scholarship Sept. 1989 - Aug. 1993 (University of Waterloo)

 

Bourse des gouverneurs de l'Université de Moncton (Board of governors scholarship) Sept. 1985 - April 1989

 

NSERC undergraduate research scholarship May 1987 - Aug. 1987

 

APICS undergraduate mathematics contest, 1988: 3rd place (individual), 2nd place (team)

 

SIAM Student Travel Award, May 1995

 

Employment

Vice-Dean, Graduate Studies

Faculty of Science

University of Ottawa, Ottawa, ON

Jan. 2018 - April 2019

 

Full Professor

Department of Mathematics and Statistics

University of Ottawa, Ottawa, ON

May 2008 - present

 

Director

Department of Mathematics and Statistics

University of Ottawa, Ottawa, ON

Jan. 2007 - July 2009

 

Associate Professor (tenured)

Department of Mathematics and Statistics

University of Ottawa, Ottawa, ON

May 2000 - May 2008

 

Assistant Professor (tenure track)

Department of Mathematics and Statistics

University of Ottawa, Ottawa, ON

Aug. 1996 - May 2000

 

Visiting Assistant Professor, NSERC Postdoctoral Fellow

Department of Mathematics

University of Houston, Houston, TX

Sept. 1995 - Aug. 1996

 

Lecturer

Faculty of Mathematics

University of Waterloo, Waterloo, ON

May 1993 - Aug. 1995

 

Tutorial Instructor

Faculty of Mathematics

University of Waterloo, Waterloo, ON

Jan. 1994 - April 1994

 

Teaching Assistant

Department of Applied Mathematics

University of Waterloo, Waterloo, ON

Sept. 1989 - April 1995

 

Lecturer Lecturer

Department of Mathematics

Université de Moncton, Moncton, NB

May 1989 - Aug. 1989

 

Research Assistant

Department of Mathematics

Université de Moncton, Moncton, NB

May 1988 - Aug. 1988

 

Research Assistant

Department of Physics

Université de Moncton, Moncton, NB

May 1987 - Aug. 1987

 

Teaching Assistant

Department of Mathematics and Physics

Université de Moncton, Moncton, NB

Sept. 1986 - April 1989

 

Refereed Publications

37. Bourgeois, A., LeBlanc, V.G. and Lutscher, F. (2020) Dynamical stabilization and traveling waves in integrodifference equations, Discrete and Continuous Dynamical Systems-S 13, pp. 3029-3045

 

36. Bourgeois, A., LeBlanc, V.G. and Lutscher, F. (2018) Spreading phenomena in integrodifference equations with non-monotone growth functions, SIAM Journal on Applied Mathematics 78, pp. 2950-2972

 

35. Dowdall, J., LeBlanc, V.G. and Lutscher, F. (2018) Invasion pinning in a periodically fragmented habitat, Journal of Mathematical Biology 77, pp. 55-78

 

34. Kitanov, P. and LeBlanc V.G. (2017) Dynamics of meandering spiral waves with weak lattice perturbations, SIAM Journal on Applied Dynamical Systems 16, pp. 16-53

 

33. LeBlanc, V.G. (2016) A degenerate Hopf bifurcation in retarded functional differential equations, and applications to endemic bubbles, Journal of Nonlinear Science 26, pp. 1-25

 

32. Charette, L. and LeBlanc, V.G. (2014) Lattice symmetry -breaking perturbations for spiral waves, SIAM Journal on Applied Dynamical Systems 13, pp. 1694-1715

 

31. Bramburger, J., Dionne, B and LeBlanc, V.G. (2014) Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback, Nonlinear Dynamics 78, pp. 2959-2973

 

30. LeBlanc, V.G. and Roy, C. (2013) Forced translational symmetry-breaking for abstract evolution equations, Journal of Abstract Differential Equations and Applications 4, pp. 16-43

 

29. Lefebvre, J, Hutt, A., LeBlanc, V.G. and Longtin, A. (2012) Reduced dynamics for delayed systems with harmonic or stochastic forcing, Chaos: An Interdisciplinary Journal of Nonlinear Science 22, pp. 043121-1 -- 043121-14

 

28. LeBlanc, V.G. (2013) Realizability of the normal form for the triple-zero nilpotency in a class of delayed nonlinear oscillators, Journal of Differential Equations 254, pp. 637-647

 

27. Lefebvre, J., Longtin, A. and LeBlanc, V.G. (2011) Neural adaptation facilitates oscillatory responses to static inputs in a recurrent network of ON and OFF cells, J. Comput. Neurosci. 31, pp. 73-86

 

26. Lefebvre, J., Longtin, A. and LeBlanc, V.G. (2011) Responses of recurrent nets of asymmetric ON and OFF cells, J. Biol. Phys. 37, pp. 189-212

 

25. Lefebvre, J., Longtin, A. and LeBlanc, V.G. (2010) Oscillatory Response in a Sensory Network of ON and OFF cells with Instantaneous and Delayed Recurrent Connections, Phil. Trans. Roy. Soc. A 368,pp. 455-467

 

24. Lefebvre, J., Longtin, A. and LeBlanc, V.G. (2009) Dynamics of driven recurrent networks of ON and OFF cells, Phys. Rev. E 80, 041912

 

23. Buono, P.-L., and LeBlanc, V.G. (2008) Realization of critical eigenvalues for scalar and symmetric linear delay-differential equations, SIAM Journal on Applied Dynamical Systems 7, pp. 1323-1354

 

22. Choi, Y. and LeBlanc, V.G. (2008) Toroidal normal forms for bifurcations in retarded functional differential equations II: saddle-node/multiple Hopf interaction, Dynamics of Continuous, Discrete and Impulsive Systems A 15, pp. 251-276

 

21. Boily, P., LeBlanc, V.G. and Matsui, E.T. (2007) Spiral anchoring in media with multiple inhomogeneities: a dynamical system approach, Journal of Nonlinear Science 17, pp. 399-427

 

20. Choi, Y. and LeBlanc, V.G. (2006) Toroidal normal forms for bifurcations in retarded functional differential equations I: multiple Hopf and transcritical/multiple Hopf interaction, Journal of Differential Equations 227, pp. 166-203

 

19. Buono, P.L. and LeBlanc, V.G. (2005) Equivariant versal unfoldings for linear retarded functional differential equations, Discrete and Continuous Dynamical Systems-A 12, pp. 283-302

 

18. Bourgault, Y., Ethier, M. and LeBlanc, V.G. (2003) Simulation of Electrophysiological Waves with an Unstructured Finite Element Method, ESAIM: Mathematical Modelling and Numerical Analysis 37, pp. 649-662

 

17. Buono, P.L. and LeBlanc, V.G. (2003) Versal unfoldings for linear retarded functional differential equations, Journal of Differential Equations 193, pp. 307-342

 

16. LeBlanc, V.G. and Roth, B.J. (2003) Meandering of spiral waves in anisotropic tissue, Dynamics of Continuous, Discrete and Impulsive Systems, Series B10, pp. 29-42

 

15. LeBlanc, V.G. (2002) Rotational symmetry-breaking for spiral waves, Nonlinearity 15, pp. 1179-1203

 

14. Redmond, B., LeBlanc, V.G. and Longtin, A. (2002) Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry, Physica D 166, pp. 131-146

 

13. LeBlanc, V.G. (2001) The role of symmetry in spiral wave dynamics, Physics in Canada 57, pp. 121-128

 

12. LeBlanc, V.G. and Wulff, C. (2000) Translational symmetry-breaking for spiral waves, Journal of Nonlinear Science 10, pp. 569-601

 

11. Gaudet, S., Gauthier, C. and LeBlanc, V.G. (2000) On the vibrations of an N-string, Journal of Sound and Vibration 238, pp. 147-169

 

10. LeBlanc, V.G. (2000) On some secondary bifurcations near resonant Hopf-Hopf interactions, Dynamics of Continuous, Discrete and Impulsive Systems 7, pp. 405-428

 

9. Golubitsky, M., LeBlanc, V.G. and Melbourne, I. (2000) Hopf Bifurcation from Rotating Waves and Patterns in Physical Space, Journal of Nonlinear Science 10, pp. 69-101

 

8. LeBlanc, V.G. (1998) Bianchi II magnetic cosmologies, Class. Quantum Grav. 15, pp. 1607-1626

 

7. Campbell, S.A. and LeBlanc, V.G. (1998) Resonant Hopf-Hopf interactions in delay differential equations, J. Dyn. Diff. Eqns. 10, pp. 327-346

 

6. LeBlanc, V.G. (1997) Asymptotic states of magnetic Bianchi I cosmologies, Classical and Quantum Gravity 14, pp. 2281-2301

 

5. Golubitsky, M., LeBlanc, V.G. and Melbourne, I. (1997) Meandering of the Spiral Tip: An Alternative Approach, Journal of Nonlinear Science 7, pp. 557-586

 

4. LeBlanc, V.G. and Langford, W.F. (1996) Classification and unfoldings of 1:2 resonant Hopf bifurcation, Archive for Rational Mechanics and Analysis 136, pp. 305-57

 

3. LeBlanc, V.G., Kerr, D. and Wainwright, J. (1995) Asymptotic states of magnetic Bianchi VIo cosmologies, Classical and Quantum Gravity 12, pp. 513-41

 

2. LeBlanc, V.G., Lari-Lavassani, A. and Langford, W.F. (1994) Symmetry-breaking for leading-order gradient maps in R^2 with applications to O(3), Nonlinearity 7, pp. 577-94

 

1. LeBlanc, V.G. and Langford, W.F. (1994) Bifurcation of periodic orbits in 1:2 resonance: a singularity theory approach, in Dynamics, Bifurcation and Symmetry, P. Chossat (ed.), pp. 205-19, Kluwer Academic Publishers

 

Submitted Papers

 

Graduate Students and Postdocs

Petko Kitanov, postdoctoral fellow (2014)-(2016).

 

Younsun Choi, postdoctoral fellow (2003)-(2005).

 

Eric Matsui, postdoctoral fellow (2002)-(2004).

 

Iustina Chifan, M.Sc. (2020). Thesis title: Hopf Bifurcation Analysis for a Variant of the Logistic Equation with Delays.

 

Chad Couture, M.Sc. (2017). Thesis title: Steady States and Stability of the Bistable Reaction-Diffusion Equation on Bounded Intervals.

 

Jason Bramburger, Ph.D. (2017). Thesis title: On the Existence and Stability of Rotating Wave Solutions to Lattice Dynamical Systems (Co-supervision with B. Dionne)

 

Adèle Bourgeois, M.Sc. (2016). Thesis title: Spreading Speeds and Travelling Waves in Integrodifference Equations with Overcompensatory Dynamics (Co-supervision with F. Lutscher)

 

Christian Belzil-Lacasse, M.Sc. (2015). Thesis title: Study of dissipative spots in three-component reaction-diffusion systems on two-dimensional domains.

 

James Dowdall, M.Sc. (2015). Thesis title: Wave blocking phenomena and ecological applications. (Co-supervision with F. Lutscher)

 

Laurent Charette, M.Sc. (2013). Thesis title: Lattice symmetry-breaking for spiral waves.

 

Jason Bramburger, M.Sc. (2013). Thesis title: Steady-state/Hopf interaction in the van der Pol oscillator with delayed feedback. (Co-supervision with B. Dionne)

 

Christian Roy, M.Sc. (2012). Thesis title: The Origin of Wave Blocking for a Bistable Reaction-Diffusion Equation: A General Approach.

 

Jérémie Lefebvre, Ph.D. (2010). Thesis title: Dynamics of a sensory network of ON and OFF cells with global delayed feedback. (Co-supervision with A. Longtin (Physics))

 

Gael Giordano, M.Sc. (2010). Thesis title: Realization of Critical Eigenvalues for Systems of Linear Delay Differential Equations.

 

Guillaume Lajoie, M.Sc. (2007). Thesis title: Wave blocking phenomenon: a dynamical system approach.

 

Patrick Boily, Ph.D. (2006). Thesis title: Spiral Wave Dynamics Under Full Euclidean Symmetry-Breaking: A Dynamical System Approach.

 

Adela Comanici, Ph.D. (2004). Thesis title: Spiral waves on spherical domains: a dynamical systems approach.

 

Brian Redmond, M.Sc. (2002). Thesis title: Bifurcation analysis of a class of delay differential equations with reflectional symmetry: Applications to ENSO. (Co-supervision with A. Longtin (Physics))

 

Étienne Dupuis, M.Sc. (2000). Thesis title: De l'existence d'hypertores près d'une bifurcation de Hopf-Hopf avec résonance 1:2.

 

Mélanie Langlois, M.Sc. (2000). Thesis title: Étude de bifurcation de Hopf-Hopf avec résonance 1:2 pour un système de deux neurones couplés avec délais.

 

Current students: Noah Bolohan (M.Sc candidate, co-supervised with F. Lutscher), Thakshila Gunasingha (Ph.D. candidate)

 

Grants

August 1996: Startup grant from the Dean of Science, University of Ottawa ($5000)

 

April 1997 - April 2000: Individual Research Grant, NSERC. Title: "Hopf-Hopf mode interactions with 1:3 resonance and bifurcations of spirals" ($13200/year)

 

April 2000 - April 2004: Individual Research Grant, NSERC. Title: "Spiral Waves and resonant Hopf-Hopf interactions" ($17000/year)

 

March 2002 - March 2007: Premier's Research Excellence Award, Govt of Ontario and U. of Ottawa Title: "Effects of Anisotropy and Inhomogeneity on Spiral Waves" ($150,000 over 5 years)

 

April 2004 - April 2009: Discovery Grant, NSERC. Title: "Dynamics of spiral and scroll waves, and bifurcations in retarded functional differential equations" ($20000/year)

 

April 2010 - April 2015: Discovery Grant, NSERC. Title: "Bifurcations: traveling waves in reaction-diffusion systems, and realizability for delay differential equations" ($15000/year)

 

April 2015: Teaching Grant, University of Ottawa Excellence in Education Prize ($10000)

 

April 2016 - April 2021: Discovery Grant, NSERC. Title: "Bifurcations: functional differential equations and waves in inhomogeneous media" ($18000/year)

 

Invited Conference Talks

LeBlanc, V.G. (2017) Weak lattice symmetry-breaking and modulated travelling spiral waves, CAIMS Annual meeting, June 20, Halifax, NS (invited talk)

 

LeBlanc, V.G. (2016) Lattice symmetry-breaking and meandering spiral waves, CAIMS Annual meeting, June 29, Edmonton, AB (invited talk)

 

LeBlanc, V.G. (2015) Degenerate Hopf Bifurcation in DDES and Endemic Bubbles, CAIMS Annual meeting, June 9, Waterloo , ON (invited talk)

 

LeBlanc, V.G. (2014) Lattice symmetry-breaking for spiral waves, CMS Winter meeting, December 7, Hamilton , ON (invited talk)

 

LeBlanc, V.G. (2014) Lattice symmetry-breaking for spiral waves, CAIMS Annual meeting, June 24, Saskatoon, SK (invited talk)

 

LeBlanc, V.G. (2013) Nilpotencies and realizability in delayed nonlinear oscillators, CMS Winter meeting, Dec. 9, University of Ottawa, Ottawa, ON (organizer of the special session on Functional Differential Equations and Applications)

 

LeBlanc, V.G. (2011) Realization of multiple Hopf bifurcation in DDEs, CMS Winter meeting, Dec 10, York University, Toronto, ON (invited talk)

 

LeBlanc, V.G. (2010) Realization of multiple Hopf bifurcation in DDEs, Southern Ontario Dynamics Day, May 14, Fields Institute, Toronto, ON (invited talk)

 

LeBlanc, V.G. (2008) Interactions of spiral waves with media imperfections: a dynamical systems approach, AARMS annual conference, Oct. 19, Moncton, NB (invited talk)

 

LeBlanc, V.G. (2008) Finding matrices in funny places, Blundon plenary lecture, APICS annual conference, Oct. 17, Moncton, NB (Plenary lecture)

 

LeBlanc, V.G. (2007) Toroidal normal forms for delay-differential equations, presented at the CAIMS Annual General Meeting, May 20-25, Banff, AB (invited talk)

 

LeBlanc, V.G. (2005) Toroidal normal forms for delay-differential equations, presented at the CMS Summer Meeting, June 4-6, Waterloo, ON (invited talk)

 

LeBlanc, V.G. (2003) Spiral waves in anisotropic media, presented at the CAIMS/SIAM Annual General Meeting, June 16-29, Montreal, QC (minisymposium organizer)

 

LeBlanc, V.G. (2003) Spiral waves in anisotropic media, presented at the BIRS Workshop on Symmetry and Biology, May 31-June 5, Banff, AB (invited talk)

 

LeBlanc, V.G. (2001) Forced symmetry-breaking for spiral waves, presented to the CMS Winter meeting, December 7-10, Toronto, ON (invited talk)

 

LeBlanc, V.G. (2001) Forced rotational symmetry-breaking for spiral waves, presented to the 2nd Canada-China Mathematics Congress, August 20-23, Vancouver, BC (invited talk)

 

LeBlanc, V.G. (2001) Forced rotational symmetry-breaking for spiral waves, presented to the International Conference on the Dynamics of Continuous, Discrete, and Impulsive Systems, July 26-30, London, Ont. (invited talk)

 

LeBlanc, V.G. (2001) Forced symmetry-breaking for spiral waves , presented to the SIAM Applications of Dynamical Systems Conference, May 20-24, Snowbird, Utah

 

LeBlanc, V.G. (1999) Translational symmetry-breaking for spiral waves, presented to the EQUADIFF 99 Conference, Aug. 1-8, Berlin, Germany (Joint work with C. Wulff, Freie U. Berlin) (invited talk)

 

LeBlanc, V.G. (1999) Some secondary bifurcations near resonant double Hopf points, presented to the annual meeting of the Canadian Applied and Industrial Mathematics Society, June 11-13, Québec, QC (invited talk)

 

LeBlanc, V.G. (1997) Euclidean symmetry and the meandering spiral tip , presented to the International Conference on Differential Equations and Dynamical Systems, Aug. 1-4, Waterloo, ON (Joint work with M. Golubitsky and I. Melbourne, U. Houston)

 

LeBlanc, V.G. (1995) Singularity theory analysis of 1:2 resonant Hopf bifurcation, presented to the SIAM Applications of Dynamical Systems meeting, May 20-25, Snowbird, Utah

 

LeBlanc, V.G. (1994) Singularity theory analysis of 1:2 resonant Hopf bifurcation, presented to the Fourth International Symposium on Chaotic Dynamical Systems, June 12-15, Woudenberg, the Netherlands