D. G. Aronson and H. F. Weinberger, Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation, Lecture Notes in Math, vol.12, issue.107, pp.5-49, 1975.
DOI : 10.1109/TCT.1965.1082476

H. Berestycki and L. Rossi, Reaction-diffusion equations for population dynamics with forced speed. I. The case of the whole space, Discrete Contin. Dyn. Syst, vol.21, issue.1, pp.41-67, 2008.

G. Dee and J. S. Langer, Propagating Pattern Selection, Physical Review Letters, vol.44, issue.6, pp.383-386, 1983.
DOI : 10.1103/PhysRevLett.44.1023

B. Deng, EXPONENTIAL EXPANSION WITH PRINCIPAL EIGENVALUES, Nonlinear dynamics, bifurcations and chaotic behavior, pp.1161-1167, 1996.
DOI : 10.1142/S0218127496000655

G. Faye, M. Holzer, and A. Scheel, Linear spreading speeds from nonlinear resonant interaction. preprint, 2016.
DOI : 10.1088/1361-6544/aa6c74

URL : http://arxiv.org/pdf/1609.05757

P. C. Fife and J. B. Mcleod, The approach of solutions of nonlinear diffusion equations to travelling front solutions. Archive for Rational Mechanics and Analysis, pp.335-361, 1977.

M. Freidlin, Coupled Reaction-Diffusion Equations, The Annals of Probability, vol.19, issue.1, pp.29-57, 1991.
DOI : 10.1214/aop/1176990535

URL : http://doi.org/10.1214/aop/1176990535

M. Holzer, Anomalous spreading in a system of coupled Fisher???KPP equations, Physica D: Nonlinear Phenomena, vol.270, pp.1-10, 2014.
DOI : 10.1016/j.physd.2013.12.003

M. Holzer and A. Scheel, Accelerated Fronts in a Two-Stage Invasion Process, SIAM Journal on Mathematical Analysis, vol.46, issue.1, pp.397-427, 2014.
DOI : 10.1137/120887746

URL : http://www.math.umn.edu/%7Escheel/preprints/Accelerated.pdf

M. Holzer and A. Scheel, Criteria for Pointwise Growth and Their Role in Invasion Processes, Journal of Nonlinear Science, vol.47, issue.4, pp.661-709, 2014.
DOI : 10.1512/iumj.1998.47.1604

A. J. Homburg and B. Sandstede, Chapter 8 -homoclinic and heteroclinic bifurcations in vector fields, of Handbook of Dynamical Systems, pp.379-524, 2010.
DOI : 10.1016/s1874-575x(10)00316-4

K. S. Korolev, The Fate of Cooperation during Range Expansions, PLoS Computational Biology, vol.9, issue.3, pp.1-11, 2013.
DOI : 10.1371/journal.pcbi.1002994.s001

X. Lin, Synopsis, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.5, issue.3-4, pp.3-4295, 1990.
DOI : 10.1070/SM1970v010n01ABEH001588

M. Lucia, C. B. Muratov, and M. Novaga, Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium, Communications on Pure and Applied Mathematics, vol.140, issue.5, pp.616-636, 2004.
DOI : 10.1007/978-3-662-08539-4

B. Sandstede, Verzweigungstheorie homokliner Verdopplungen, 1993.

B. Sandstede, Stability of multiple-pulse solutions, Transactions of the American Mathematical Society, vol.350, issue.02, pp.429-472, 1998.
DOI : 10.1090/S0002-9947-98-01673-0

B. Sandstede and A. Scheel, Evans function and blow-up methods in critical eigenvalue problems, Discrete and Continuous Dynamical Systems, vol.10, issue.4, pp.941-964, 2004.
DOI : 10.3934/dcds.2004.10.941

URL : http://www.aimsciences.org/journals/doIpChk.jsp?paperID=565&mode=full

L. P. Shilnikov, ON THE GENERATION OF A PERIODIC MOTION FROM TRAJECTORIES DOUBLY ASYMPTOTIC TO AN EQUILIBRIUM STATE OF SADDLE TYPE, Mathematics of the USSR-Sbornik, vol.6, issue.3, p.427, 1968.
DOI : 10.1070/SM1968v006n03ABEH001069

L. P. Shilnikov, A. L. Shilnikov, D. V. Turaev, and L. O. Chua, Methods of qualitative theory in nonlinear dynamics. Part I, volume 4 of World Scientific Series on Nonlinear Science. Series A: Monographs and Treatises, With the collaboration of Sergey Gonchenko (Sections 3.7 and 3.8), Oleg Sten kin (Section 3.9 and Appendix A) and Mikhail Shashkov (Sections 6.1 and 6.2), 1998.

W. Van-saarloos, Front propagation into unstable states, Physics Reports, vol.386, issue.2-6, pp.29-222, 2003.
DOI : 10.1016/j.physrep.2003.08.001

J. Y. Wakano, A mathematical analysis on public goods games in the continuous space, Mathematical Biosciences, vol.201, issue.1-2, pp.72-89, 2006.
DOI : 10.1016/j.mbs.2005.12.015

J. Y. Wakano and C. Hauert, Pattern formation and chaos in spatial ecological public goodsgames, Journal of Theoretical Biology, vol.268, issue.1, pp.30-38, 2011.
DOI : 10.1016/j.jtbi.2010.09.036