abstract: Complex dynamical systems consisting interacting dynamical units are ubiquitous in nature and society. Predicting and reconstructing nonlinear dynamics of units and the complex interacting networks among them serves the base for the understanding of a variety of collective dynamical phenomena. I present a general method to address the two outstanding problems as a whole based solely on time-series measurements. The method is implemented by incorporating compressive sensing approach that enables an accurate reconstruction of complex dynamical systems in terms of both nodal equations that determines the self-dynamics of units and detailed coupling patterns among units. The representative advantages of the approach are (i) the sparse data requirement which allows for a successful reconstruction from limited measurements, and (ii) general applicability to identical and nonidentical nodal dynamics, and to networks with arbitrary interacting structure, strength and sizes. Another two challenging problem of significant interest in nonlinear dynamics: (i) predicting catastrophes in nonlinear dynamical systems in advance of their occurrences and (ii) predicting the future state for time-varying nonlinear dynamical systems, can be formulated and solved in the framework of compressive sensing using only limited measurements. Once the network structure can be inferred, the dynamics behavior on them can be investigated, for example optimize information spreading dynamics, suppress cascading dynamics and traffic congestion, enhance synchronization, game dynamics, etc. The results can yield insights to control strategies design in the real-world social and natural systems. Since 2004, there has been a tremendous amount of interest in graphene. The most amazing feature of graphene is that there exists linear energy-momentum relationship when energy is low. The quasi-particles inside the system can be treated as chiral, massless Dirac fermions obeying relativistic quantum mechanics. Therefore, the graphene provides one perfect test bed to investigate relativistic quantum phenomena, such as relativistic quantum chaotic scattering and abnormal electron paths induced by klein tunneling. This phenomenon has profound implications to the development of graphene based devices that require stable electronic properties. / Dissertation/Thesis / Ph.D. Electrical Engineering 2012

The main subject of this diploma project was to design an architectural proposal of Moravian Wine Centre in Brno, Czech Republic. To design a polyfunctional building with a concept of new use of an existing network of underground cellars became the main goal of the proposal. The building is divided into seven functional units where services in the fields of culture, education, gastronomy, recreation and wine production will be provided. The form and shape of MVC is based on the idea of making a passable connection between two important urban spaces Exhibition Centre Brno, and the Zluty Kopec area. The next aim was to create a public space for cultural events and recreation. Part of the assignment was to deal with smaller urban planning of adjacent properties and to react to Brno's planning policy. The new park type of green line, axially connecting those two points of Exhibition Centre and Zluty Kopec, and a new access road from the street "Vinarska" were proposed. Parking spaces are divided into above-ground and underground in order to restrict parking on street. An automatic parking system is part of the object MVC Brno.

This master’s thesis is dealing with the plan of reconstruction of the house in an effort to get closer to "near zero building". Total heat loss along with calculation of the cost of the house operation and the energy performance of buildings were computed for the given house. Then we have enclosed suggestions of individual methods of building´s insulation (replacing of windows, doors and gates, insulation of exterior walls, roof and ceiling between floor and attic) and a draft of a new technical building services (forced ventilation with heat recovery, photovoltaic system and heat pump). Furthermore, the suitability of the original heating system was evaluated and the also the energy performance for the renovated building was analyzed during the reconstruction. An economic evaluation was calculated for each method of reconstruction, together with the new green subsidy programme. At the end of the dissertation is drawn up the economic evaluation of the whole proposed reconstruction, together with an assessment, what class of the building we have achieved according to its the energy intensity.