Numerical Verification Method of Existence of Connecting Orbits for Continuous Dynamical Systems

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dc.creatorOishi,Shin
dc.date1998
dc.date.accessioned2024-02-06T12:49:23Z
dc.date.available2024-02-06T12:49:23Z
dc.descriptionIn this paper, a numerical method is presented for proving the existence and inclusion of connecting orbits of continuous dynamical systems described by parameterized nonlinear ordinary differential equations. Taking a certain second order nonlinear ordinary differential equaiton as an example, the existence of homoclinic bifurcation points is proved by the method.
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dc.identifierhttps://doi.org/10.3217/jucs-004-02-0193
dc.identifierhttps://lib.jucs.org/article/27473/
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/7331
dc.languageen
dc.publisherJournal of Universal Computer Science
dc.relationinfo:eu-repo/semantics/altIdentifier/eissn/0948-6968
dc.relationinfo:eu-repo/semantics/altIdentifier/pissn/0948-695X
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsJ.UCS License
dc.sourceJUCS - Journal of Universal Computer Science 4(2): 193-201
dc.subjectConnecting Orbits
dc.subjectDefining Equation of Stable-Manifolds
dc.subjectNumerical Verification of Existence of Nonlinear Boundary Value Problems
dc.titleNumerical Verification Method of Existence of Connecting Orbits for Continuous Dynamical Systems
dc.typeResearch Article
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