Titlebook: Recent Trends in Dynamical Systems; Proceedings of a Con Andreas Johann,Hans-Peter Kruse,Stephan Schmitz Conference proceedings 2013 Spring

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Quasi-Steady State: Searching for and Utilizing Small Parametersation to reduction of dimension. Special attention is given to the relation between QSS and singular perturbations including, as a new result, a general explicit reduction formula. Moreover, we describe and discuss heuristics which convert a QSS assumption to conditions restricting the parameters of

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寄生虫

A Guided Sequential Monte Carlo Method for the Assimilation of Data into Stochastic Dynamical System density functions. While sequential Monte Carlo methods have emerged as a methodology for tackling assimilation problems under rather general circumstances, those methods suffer from the curse of dimensionality. At the same time ensemble transform filters, such as the ensemble Kalman filter, have e

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Deterministic and Stochastic Dynamics of Chronic Myelogenous Leukaemia Stem Cells Subject to Hill-Fu stochastic (ordinary) differential equation model for the dynamics of Chronic Myelogenous Leukaemia (CML) stem cells in a bone marrow niche involving signaling and competition between active stem cells. Invoking stochastic-deterministic correspondence we then investigate two deterministic subsystem

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Deformation of Geometry and Bifurcations of Vortex Ringson surfaces parametrized by the curvature of the surface. Equivariant bifurcations in this family are characterized, whence the stability of the Thomson heptagon is deduced without recourse to the Birkhoff normal form, which has hitherto been a necessary tool.

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Gradient Flows in the Normal and Kähler Metrics and Triple Bracket Generated Metriplectic Systems to flows on a loop group are discussed. Different types of gradient flows that arise from different metrics including the so-called normal metric on adjoint orbits of a Lie group and the Kähler metric are compared. It is discussed how a Kähler metric can arise from a complex structure induced by th

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Boundary Tracking and Obstacle Avoidance Using Gyroscopic Control stable spatiotemporal patterns in free space. This paper is concerned with strategies (respectively feedback laws) that prescribe (respectively execute) gyroscopic interaction of a single unit-speed particle with a fixed obstacle in space. The purpose of such interaction is to avoid collision with

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