Martin Rasmussen

Kort før sommerferien bliver Anja kidnappet. Hendes bortførere vil have kontanter, som skal afleveres ved den store runesten i Panterskoven. Men da vennerne Jonas og Vilmer hører om sagen, beslutter de sig for at opklare den. Og det viser sig snart, at tingene slet ikke er, som de ser ud til at være …Michael og Martin Rasmussen (f. 1975) er tvillingebrødre og har i mange år sammen skrevet bøger til børn og unge.

Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.

De k benhavnske teenagedrenge Milas og Conrad skal p campingferie med Conrads for ldre langt ude p Lars Tyndskids mark. Der er lagt op til en sommerferie som alle andre, vennerne tager p bes g hos deres nye ven Carl-Christian, som bor p en g rd i n rheden af campingpladsen. Carl-Christians for ldre er ikke hjemme, men de har ladet en forfatter, som drengene ikke kender, bo i huset, mens de er v k. Drengene f r hurtigt p fornemmelsen, at der er noget mystisk ved den fremmede mand. Inden l nge kommer de p sporet af en vaske gte forbrydelse, som de s tter sig for at opklare. Nu bliver sommerferien pludselig lige lovligt sp ndende "Kongeborgens hemmelighed" er f rste bind i serien om vennerne Milas og Conrad. -

Sommeren 2019, Milas og Conrad tager igen p ferie hos Carl-Christian. For der er noget helt specielt ved at bes ge vennen ude p landet. Det bliver igen en hyggelig, dramatisk og sp ndende sommerferie helt ude p Lars Tyndskids vildmarker. Kongeborgens hemmelighed 2 er forts ttelsen til Kongeborgens hemmelighed.

En røver gemmer en guldskat i en skov og ryger så i fængsel. Tre børn tager på sommerferieophold på landet. Et genfærd kommer forbi med et budskab, der kan redde dem alle ... Hvem er det, der er ude efter guldet? Og vil det mon lykkes genfærdet at få kontakt til børnene i tide? idden /title /head body center h1 403 Forbidden /h1 /center /body /html Michael og Martin Rasmussen (f. 1975) er tvillingebrødre og har i mange år sammen skrevet bøger til børn og unge.

The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and nonlinear systems are derived, and nonautonomous counterparts of the classical one-dimensional autonomous bifurcation patterns are developed.