Construction of Periodic Orbits and Chaos

(整期优先)网络出版时间:2002-01-11
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Incontrasttothemainstreamofstudyingthechaoticbehaviorofagivenmap,constructingchaoticmaphasattractedmuchlessattention.Inthispaper,weproposesimpleanalyticalmethodforconstructingone-dimensionalcontinuousmapswithcertainspecificperiodicpoints.Further,weobtainresultsfortheexistenceofchaoticphenomenoninthesenseofLiandYorke.Someexamplesarealsoanalyzedusingtheproposedmethods.