4784

4503

كارشناسي ارشد

فيزيك

اصفهان:دانشگاه صنعتي اصفهان،دانشكده فيزيك

1388

[هشت]،62،[II]ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

كيوان آقابابايي ساماني

احمد شيرزاد

1/9/88

فيزيك

ID4503

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

The Role of Symmetry in Synchronization of Dynamical Networks Azadeh Bagheri Email address a bagheri@ph iut ac ir Date of Submission 19 08 2009 Department of Physics Isfahan University of Technology Isfahan 84156 83111 IranDegree M Sc Language FarsiSupervisor Dr Keivan Aghababaei SamaniAbstractSince seventeenth century that synchronization phenomenon was recognized for thefirst time this phenomena have been observed in various branches of natural sciences engineering and social life One way to find some synchronized states of a collection ofinteractive dynamical systems that are modelled by a network is using globalsymmetris of the network The advantage of this method is the independence ofsynchronous patterns from dynamical details of each cell Certain types of networkarchitecture with trivial symmetry still imply the existence of synchronized states This realization led to a more flexible theory of symmetry called symmetry groupoid In asymmetric networks with nontrivial symmetry groupoid sometimes by definingsome special equivalence relation on the network it is possible to transform it into asmaller symmetric network called quotient network Every synchronized states of thisquotient network can be lifted to the original asymmetric network In this thesis afterintroducing the synchronization phenomenon and the role of symmetry insynchronization of dynamical networks synchronized states of the smallest nontrivialall to all network a 3 cell all to all network is analized Since this network can be thequotient network of many other larger asymmetric networks its analyzing is important So besides symmetry approach we have considered its synchrony by numericalmethod and in FitzHugh Nagumo model Because of nonlinearity of this model analyzing the stability of all patterns of synchrony is not straightforward Just for onestate we succeeded to calculate the stability and the result was the same as the result ofthe numerical simulation Key Words Network Synchronization Symmetry groupoid Quotient network FitzHugh Nagumo model pdfMachine A pdf writer that produces quality PDF files with ease Produce quality PDF files in seconds and preserve the integrity of your original documents Compatible across nearly all Windows platforms simply open the document you want to convert click print select the Broadgun pdfMachine printer and that s it Get yours now

كيوان آقابابايي ساماني

احمد شيرزاد