{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T12:47:57Z","timestamp":1648817277340},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,1,24]],"date-time":"2013-01-24T00:00:00Z","timestamp":1358985600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Dyn Diff Equat"],"published-print":{"date-parts":[[2013,3]]},"DOI":"10.1007\/s10884-012-9285-y","type":"journal-article","created":{"date-parts":[[2013,1,22]],"date-time":"2013-01-22T23:50:18Z","timestamp":1358898618000},"page":"17-31","source":"Crossref","is-referenced-by-count":2,"title":["Fronts Between Periodic Patterns for Bistable Recursions on Lattices"],"prefix":"10.1007","volume":"25","author":[{"given":"Ricardo","family":"Coutinho","sequence":"first","affiliation":[]},{"given":"Bastien","family":"Fernandez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,1,24]]},"reference":[{"key":"9285_CR1","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0167-2789(94)00182-P","volume":"80","author":"VS Afraimovich","year":"1995","unstructured":"Afraimovich, V.S., Bunimovich, L.: Density of defects and spatial entropy in extended systems. Physica D 80, 277\u2013288 (1995)","journal-title":"Physica D"},{"key":"9285_CR2","doi-asserted-by":"crossref","first-page":"973","DOI":"10.1088\/0951-7715\/13\/4\/301","volume":"13","author":"VS Afraimovich","year":"2000","unstructured":"Afraimovich, V.S., Fernandez, B.: Topological properties of linearly coupled expanding map lattices. Nonlinearity 13, 973\u2013993 (2000)","journal-title":"Nonlinearity"},{"key":"9285_CR3","first-page":"287","volume":"2","author":"VS Afraimovich","year":"1994","unstructured":"Afraimovich, V.S., Glebsky, L.Y., Nekorkin, V.I.: Stability of stationary states and topological spatial chaos in multidimensional lattice dynamical systems. Random Comput. Dyn. 2, 287\u2013303 (1994)","journal-title":"Random Comput. Dyn."},{"key":"9285_CR4","doi-asserted-by":"crossref","unstructured":"Aronson, D.G., Weinberger, H.F.: Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. In: Partial Differential Equations and Related Topics, Lecture Notes Mathematics, vol. 446, pp. 5\u201349. Springer, Berlin (1975)","DOI":"10.1007\/BFb0070595"},{"key":"9285_CR5","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1137\/S0036141000374002","volume":"35","author":"PC Bates","year":"2003","unstructured":"Bates, P.C., Chen, X., Chmaj, A.: Traveling waves of bistable dynamics on a lattice. SIAM J. Math. Anal. 35, 520\u2013546 (2003)","journal-title":"SIAM J. Math. Anal."},{"key":"9285_CR6","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s002050050037","volume":"138","author":"PC Bates","year":"1997","unstructured":"Bates, P.C., Fife, P.C., Ren, X., Wang, X.: Traveling waves in a convolution model for phase transitions. Arch. Ration. Mech. Anal. 138, 105\u2013136 (1997)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9285_CR7","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1016\/j.matpur.2004.10.006","volume":"84","author":"H Berestycki","year":"2005","unstructured":"Berestycki, H., Hamel, F., Roques, L.: Analysis of the periodically fragmented environment model : II\u2014biological invasions and pulsating travelling fronts. J. Math. Pures Appl. 84, 1101\u20131146 (2005)","journal-title":"J. Math. Pures Appl."},{"key":"9285_CR8","doi-asserted-by":"crossref","unstructured":"Chazottes, J.-R., Fernandez, B. (eds.): Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, Lecture Notes in Physics, vol. 671. Springer, Berlin (2005)","DOI":"10.1007\/11360810_1"},{"key":"9285_CR9","first-page":"125","volume":"2","author":"X Chen","year":"1997","unstructured":"Chen, X.: Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations. Adv. Diff. Equ. 2, 125\u2013160 (1997)","journal-title":"Adv. Diff. Equ."},{"key":"9285_CR10","first-page":"109","volume":"4","author":"S-N Chow","year":"1996","unstructured":"Chow, S.-N., Mallet-Paret, J., Van Vleck, E.S.: Pattern formation and spatial chaos in spatially discrete evolution equations. Random Comput. Dyn. 4, 109\u2013178 (1996)","journal-title":"Random Comput. Dyn."},{"key":"9285_CR11","doi-asserted-by":"crossref","unstructured":"Collet, P., Eckmann, J.-P.: Instabilities and fronts in extended systems. Princeton University Press, Princeton (1990)","DOI":"10.1515\/9781400861026"},{"key":"9285_CR12","doi-asserted-by":"crossref","first-page":"011912","DOI":"10.1103\/PhysRevE.83.011912","volume":"83","author":"S Coombes","year":"2011","unstructured":"Coombes, S., Laing, C.R.: Pulsating fronts in periodically modulated neural field models. Phys. Rev. E 83, 011912 (2011)","journal-title":"Phys. Rev. E"},{"key":"9285_CR13","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1103\/PhysRevLett.58.431","volume":"58","author":"P Coullet","year":"1987","unstructured":"Coullet, P., Elphick, C., Repaux, D.: Nature of spatial chaos. Phys. Rev. Lett. 58, 431 (1987)","journal-title":"Phys. Rev. Lett."},{"key":"9285_CR14","unstructured":"Coutinho, R., Fernandez, B.: http:\/\/www.cpt.univ-mrs.fr\/~bastien\/Fronts.html . Accessed Jan 2012"},{"key":"9285_CR15","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/S0167-2789(97)82005-2","volume":"108","author":"R Coutinho","year":"1997","unstructured":"Coutinho, R., Fernandez, B.: Extended symbolic dynamics in bistable CML: existence and stability of fronts. Physica D 108, 60\u201380 (1997)","journal-title":"Physica D"},{"key":"9285_CR16","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1063\/1.166229","volume":"7","author":"R Coutinho","year":"1997","unstructured":"Coutinho, R., Fernandez, B.: On the global orbits in a bistable CML. Chaos 7, 301\u2013310 (1997)","journal-title":"Chaos"},{"key":"9285_CR17","doi-asserted-by":"crossref","unstructured":"Coutinho, R., Fernandez, B.: Fronts and interfaces in bistable extended mappings. Nonlinearity 11, 1407\u20131433 (1998)","DOI":"10.1088\/0951-7715\/11\/5\/014"},{"key":"9285_CR18","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1088\/0951-7715\/17\/1\/002","volume":"17","author":"R Coutinho","year":"2004","unstructured":"Coutinho, R., Fernandez, B.: Fronts in extended systems of bistable maps coupled via convolutions. Nonlinearity 17, 23\u201347 (2004)","journal-title":"Nonlinearity"},{"key":"9285_CR19","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1007\/s00285-005-0359-x","volume":"52","author":"R Coutinho","year":"2006","unstructured":"Coutinho, R., Fernandez, B., Lima, R., Meyroneinc, A.: Discrete time piecewise affine models of genetic networks. J. Math. Biol. 52, 524\u2013570 (2006)","journal-title":"J. Math. Biol."},{"key":"9285_CR20","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0167-2789(90)90036-O","volume":"46","author":"A-D Defontaines","year":"1990","unstructured":"Defontaines, A.-D., Pomeau, Y., Rostand, B.: Chain of coupled bistable oscillators: a model. Physica D 46, 201\u2013216 (1990)","journal-title":"Physica D"},{"key":"9285_CR21","doi-asserted-by":"crossref","unstructured":"Eckmann, J.-P., Proccacia, I.: Onset of defect-mediated turbulence. Phys. Rev. Lett., 66, 891 (1991)","DOI":"10.1103\/PhysRevLett.66.891"},{"key":"9285_CR22","doi-asserted-by":"crossref","unstructured":"Elaydi S.: An introduction to difference equations. Springer, New York (1996)","DOI":"10.1007\/978-1-4757-9168-6"},{"key":"9285_CR23","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/BF00250432","volume":"65","author":"PC Fife","year":"1977","unstructured":"Fife, P.C., McLeod, J.B.: The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch. Ration. Mech. Anal. 65, 335\u2013361 (1977)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"9285_CR24","doi-asserted-by":"crossref","first-page":"345","DOI":"10.4171\/JEMS\/256","volume":"13","author":"F Hamel","year":"2011","unstructured":"Hamel, F., Roques, L.: Uniqueness and stability properties of monostable pulsating fronts. J. Eur. Math. Soc. 13, 345\u2013390 (2011)","journal-title":"J. Eur. Math. Soc."},{"key":"9285_CR25","unstructured":"Jin, Y., Zhao, X.-Q.: Spatial dynamics of a discrete-time population model in a periodic lattice habitat. J. Dyn. Differ. Equ. 21, 501\u2013525 (2009)"},{"key":"9285_CR26","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1137\/0147038","volume":"47","author":"JP Keener","year":"1987","unstructured":"Keener, J.P.: Propagation and its failure in coupled systems of discrete cells. SIAM J. Appl. Math. 47, 556\u2013572 (1987)","journal-title":"SIAM J. Appl. Math."},{"key":"9285_CR27","doi-asserted-by":"crossref","unstructured":"Kocic, V., Ladas, G.: Global behaviour of nonlinear difference equations of higher order with applications. Kluwer, Dordrecht (1993)","DOI":"10.1007\/978-94-017-1703-8"},{"key":"9285_CR28","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/0025-5564(89)90026-6","volume":"93","author":"R Lui","year":"1989","unstructured":"Lui, R.: Biological growth and spread modeled by systems of recursions. Math. Biosci. 93, 269\u2013295 (1989)","journal-title":"Math. Biosci."},{"key":"9285_CR29","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1023\/A:1021841618074","volume":"11","author":"J Mallet-Paret","year":"1997","unstructured":"Mallet-Paret, J.: The global structure of traveling waves in spatially discrete dynamical systems. J. Dyn. Differ. Equ. 11, 49\u2013127 (1997)","journal-title":"J. Dyn. Differ. Equ."},{"key":"9285_CR30","unstructured":"Weinberger, H.F.: Long-time behavior of a class of biological models. SIAM J. Math. Anal. 13, 353\u2013396 (1982)"},{"key":"9285_CR31","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/s00285-002-0169-3","volume":"45","author":"HF Weinberger","year":"2002","unstructured":"Weinberger, H.F.: On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol. 45, 511\u2013548 (2002)","journal-title":"J. Math. Biol."},{"key":"9285_CR32","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1137\/S0036144599364296","volume":"42","author":"J Xin","year":"2000","unstructured":"Xin, J.: Front propagation in heterogeneous media. SIAM Rev. 42, 161\u2013230 (2000)","journal-title":"SIAM Rev."},{"key":"9285_CR33","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4838-5","volume-title":"Nonlinear functional analysis and its applications: I. Fixed point theorems","author":"E Zeidler","year":"1986","unstructured":"Zeidler, E.: Nonlinear functional analysis and its applications: I. Fixed point theorems. Springer, New York (1986)"},{"key":"9285_CR34","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1006\/jdeq.1993.1082","volume":"105","author":"B Zinner","year":"1993","unstructured":"Zinner, B., Harris, G., Hudson, W.: Travelling fronts for the discrete fisher\u2019s equation. J. Differ. Equ. 105, 46\u201362 (1993)","journal-title":"J. Differ. Equ."}],"container-title":["Journal of Dynamics and Differential Equations"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10884-012-9285-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10884-012-9285-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10884-012-9285-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,8]],"date-time":"2019-07-08T18:24:14Z","timestamp":1562610254000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10884-012-9285-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,24]]},"references-count":34,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["9285"],"URL":"https:\/\/doi.org\/10.1007\/s10884-012-9285-y","relation":{},"ISSN":["1040-7294","1572-9222"],"issn-type":[{"value":"1040-7294","type":"print"},{"value":"1572-9222","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1,24]]}}}