Discrete dynamics of complex 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 a discrete-time plant-herbivore model

Decentralized prognosis of fuzzy discrete-event systems

This paper gives a decentralized approach to the problem of failure prognosis in the framework of fuzzy discrete event systems (FDES). A notion of co-predictability is formalized for decentralized prognosis of FDESs, where several local agents with fuzzy observability rather than crisp observability are used in the prognosis task. An FDES is said to be co-predictable if each faulty event can be...

Synchronizability and Connectivity of Discrete Complex Systems

The synchronization of discrete complex systems is critical in applications such as communication and transportation networks, neuron respiratory systems, and other systems in which either congestion can occur at individual nodes, or system wide synchrony is of importance to proper functionality. The first non-trivial eigenvalue of a network’s Laplacian matrix, called the algebraic connectivity...

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.