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A Melnikov Method for Homoclinic Orbits with Many Pulses
dc.contributor.authorKovačič, Gregoren_US
dc.contributor.authorTin, Siu-Keien_US
dc.contributor.authorCamassa, Robertoen_US
dc.date.accessioned2006-09-08T19:47:06Z
dc.date.available2006-09-08T19:47:06Z
dc.date.issued1998-09en_US
dc.identifier.citationCamassa, Roberto; Kovačič, Gregor; Tin, Siu-Kei; (1998). "A Melnikov Method for Homoclinic Orbits with Many Pulses." Archive for Rational Mechanics and Analysis 143(2): 105-193. <http://hdl.handle.net/2027.42/41925>en_US
dc.identifier.issn0003-9527en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41925
dc.description.abstractWe present an extension of the Melnikov method which can be used for ascertaining the existence of homoclinic and heteroclinic orbits with many pulses in a class of near‐integrable systems. The Melnikov function in this situation is the sum of the usual Melnikov functions evaluated with some appropriate phase delays. We show that a nonfolding condition which involves the logarithmic derivative of the Melnikov function must be satisfied in addition to the usual transversality conditions in order for homoclinic orbits with more than one pulse to exist.en_US
dc.format.extent931508 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag Berlin Heidelbergen_US
dc.subject.otherLegacyen_US
dc.titleA Melnikov Method for Homoclinic Orbits with Many Pulsesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematics Department, University of Michigan, Ann Arbor, Michigan 48109, USA, US,en_US
dc.contributor.affiliationotherMathematics Department, University of North Carolina, Chapel Hill, North Carolina 27599-3250, USA, US,en_US
dc.contributor.affiliationotherMathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA, US,en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41925/1/205-143-2-105_81430105.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s002050050102en_US
dc.identifier.sourceArchive for Rational Mechanics and Analysisen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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