Dynamics of Nonlinear Systems

the study of bright and surface discrete cavity solitons dynamics in saturable nonlinear media

امروزه سالیتون ها بعنوان امواج جایگزیده ای که تحت شرایط خاص بدون تغییر شکل در محیط منتشر می-شوند، زمینه مطالعات گسترده ای در حوزه اپتیک غیرخطی هستند. در این راستا توجه به پدیده پراش گسسته، که بعنوان عامل پهن شدگی باریکه نوری در آرایه ای از موجبرهای جفت شده، ظاهر می گردد، ضروری است، زیرا سالیتون های گسسته از خنثی شدن پراش گسسته در این سیستم ها بوسیله عوامل غیرخطی بوجود می آیند. گسستگی سیستم عامل...

Dynamics of Nonlinear Systems

In the last few decades, theory of dynamical systems has become a rapidly growing area of mathematics and attracted many researchers. This theory is an important and wellestablished branch of the modern mathematics. The reason lies in the fact that the study of dynamical systems not only has an important theoretical interest, but also is motivated by problems from other disciplines, including p...

Dynamics of Nonlinear Stochastic Systems

Complex dynamics of nonlinear systems

Different nonlinear systems are presented exhibiting various dynamical phenomena, including bifurcations, chaotic dynamics, and synchronisation. Furthermore, methods for analysing, modelling and controlling complex dynamics are discussed. All these topics are illustrated with examples from work on nonlinear systems conducted at the DPI.

Nonlinear Dynamics and Systems Theory

The study of fuzzy differential systems is initiated and sufficient conditions, in terms of Lyapunov-like functions, are provided for the new concept of stability which unifies Lyapunov and orbital stabilities as well as includes new notions in between.