This volume contains the invited papers presented at the 9th International C- ference "Dynamical Systems - Theory and Applications" held in ?od z, Poland, December 17-20, 2007 dealing with nonlinear dynamical systems. The conf- encegatheredanumerousgroupofscientistsandengineers, whodealwithwidely understoodproblemsofdynamicsmetalsoinengineeringanddailylife. Organizationof the conferencewould nothavebeen possiblewithouta great effortofthestaffoftheDepartmentofAutomaticsandBiomechanicsoftheTech- calUniversityof?od z. Thepatronageovertheconferencehasbeentakenbythef- lowingscienti?cinstitutions: MechanicsandMachineDynamicsCommitteesofthe PolishAcademyofSciences, PolishSocietyofTheoreticalandAppliedMech- ics, PolishAssociationforComputationalMechanics, andTechnicalCommitteeof NonlinearOscillationsofIFToMM. The ?nancial support has been given by the Department of Education at the ? odz City Hall, Ministry of National Education and the Polish Association for ComputationalMechanics. We welcomednearly100personsfrom13countriesallovertheworld.They decidedto share the results of their researchandmanyyears of experiencein a disciplineofdynamicalsystemsbysubmittingmanyinterestingpapers. TheScienti?cCommitteeincludesthefollowingmembers: IgorV.Andrianov- Aachen;JanAwrejcewicz -?od z; Jose M. Balthazar- Rio Claro;Denis Bla- more- Newark; Iliya Blekhman - Sankt Petersburg;Roman Bogacz - Warsaw; TadeuszBurczyns ki-Gliwice;DickvanCampen-Eindhoven;Czes?awCempel- Poznan ;LotharGaul- Stuttgart;Jozef Giergiel-Cracow;Katica Hedrih-Nis; ? Janusz Kowal - Cracow; Vadim A. Krysko - Saratov; W?odzimierz Kurnik - Warsaw; Claude-Henri Lamarque - Lyon; Nuno M. Maia - Lisbon; Leonid I.