Browsing Mathematics by Author "Sieber, J"
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Dynamics of symmetric dynamical systems with delayed switching
Sieber, J; Kowalczyk, P; Hogan, SJ; Bernardo, MD (SAGE Publications, 2017)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 socalled event collisions occur. This ... 
Earlywarning indicators for rateinduced tipping
Ritchie, P; Sieber, J (AIP Publishing, 201609)A dynamical system is said to undergo rateinduced tipping when it fails to track its quasiequilibrium state due to an abovecriticalrate change of system parameters. We study a prototypical model for rateinduced tipping, ... 
Local bifurcations in differential equations with statedependent delay
Sieber, J (AIP Publishing, 201711)A common task when analysing dynamical systems is the determination of normal forms near local bifurcations of equilibria. As most of these normal forms have been classified and analysed, finding which particular class of ... 
Nonlinear dynamic Interactions between flowinduced galloping and shelllike buckling
Thompson, JMT; Sieber, J (Elsevier, 20140113)For an elastic system that is nonconservative but autonomous, subjected for example to timeindependent loading by a steadily flowing fluid (air or water), a dangerous bifurcation, such as a subcritical bifurcation, or ... 
Probability of noise and rateinduced tipping
Ritchie, PDL; Sieber, J (American Physical Society, 20170512)We propose an approximation for the probability of tipping when the speed of parameter change and additive white noise interact to cause tipping. Our approximation is valid for small to moderate drift speeds and helps to ... 
Probing shells against buckling: a nondestructive technique for laboratory testing
Thompson, JMT; Hutchinson, JW; Sieber, J (World Scientific Publishing, 2017)This paper addresses testing of compressed structures, such as shells, that exhibit catastrophic buckling and notorious imperfection sensitivity. The central concept is the probing of a loaded structural specimen by a ... 
Regular and irregular patterns of selflocalized excitation in arrays of coupled phase oscillators.
Wolfrum, M; Omel'chenko, OE; Sieber, J (American Institute of Physics (AIP), 201505)We study a system of phase oscillators with nonlocal coupling in a ring that supports selforganized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase ...