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5 Delay differential equations 6 5.1 Equations with constant delays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 5.1.1 Steady states . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 5.1.2 Periodic orbits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.1.3 Connecting orbits . . . .(More)
We study dynamical systems that switch between two different vector fields depending on a discrete variable and with a delay. When the delay reaches a problemdependent critical value so-called event collisions occur. This paper classifies and analyzes event collisions, a special type of discontinuity induced bifurcations, for periodic orbits. Our focus is(More)
  • J Sieber
  • Proceedings. Mathematical, physical, and…
  • 2016
Time-delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current output and the output from a fixed time T ago. Thus, any periodic orbit of period T in the feedback-controlled system is(More)
Introduction. In his monograph [l], Császár introduced the notion of a syntopogenous space, which generalized the notions of a topological space, a proximity space, and a uniform space. Although Császár was able to obtain many of the usual theorems of general topology in this more general setting, the basic topological notion of connectedness was not(More)
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