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Table of Contents
Theme issue ‘Nonlinear dynamics of delay systems’ organised and edited by Andreas Otto, Wolfram Just and Günter Radons
About the issue
Time delays play an important role in many fields such as engineering, physics or biology. Delays occur due to finite velocities of signal propagation or processing delays leading to memory effects and, in general, infinite dimensional systems. Time delay systems can be described by delay differential equations and often include non-negligible nonlinear effects. This theme issue covers new fundamental results in this interdisciplinary field as well as recent developments in applications. Fundamentally new results were obtained especially for systems with time-varying delay and state-dependent delay and for delay system with noise, which do often appear in real systems in engineering and nature. The applications range from climate modelling over network dynamics and laser systems with feedback to human balancing and machine tool chatter.
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INTRODUCTION
Introduction
Nonlinear dynamics of delay systems: an overview
Published:22 July 2019Article ID:20180389
ARTICLES
Research articles
Fast consensus in a large-scale multi-agent system with directed graphs using time-delayed measurements
Published:22 July 2019Article ID:20180130
Research articles
Fokker–Planck representations of non-Markov Langevin equations: application to delayed systems
Published:22 July 2019Article ID:20180131
Review articles
Travelling fronts in time-delayed reaction–diffusion systems
Published:22 July 2019Article ID:20180127
Research articles
Resonant Doppler effect in systems with variable delay
Published:22 July 2019Article ID:20180119
Research articles
The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation
Published:22 July 2019Article ID:20180121
Research articles
Delay-induced switched states in a slow–fast system
Published:22 July 2019Article ID:20180118
Review articles
Delayed dynamical systems: networks, chimeras and reservoir computing
Published:22 July 2019Article ID:20180123
Research articles
Class-C semiconductor lasers with time-delayed optical feedback
Published:22 July 2019Article ID:20180124
Research articles
Geometric analysis of synchronization in neuronal networks with global inhibition and coupling delays
Published:22 July 2019Article ID:20180129
Research articles
Complex partial synchronization patterns in networks of delay-coupled neurons
Published:22 July 2019Article ID:20180128
Research articles
Transmission time delays organize the brain network synchronization
Published:22 July 2019Article ID:20180132
Research articles
Acting together, destabilizing influences can stabilize human balance
Published:22 July 2019Article ID:20180126
Research articles
Experimental observations on unsafe zones in milling processes
- Zoltan Dombovari ,
- Alex Iglesias ,
- Tamas G. Molnar ,
- Giuseppe Habib ,
- Jokin Munoa ,
- Rachel Kuske and
- Gabor Stepan
Published:22 July 2019Article ID:20180125
CORRECTIONS
Corrections
Correction to: ‘Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale’
Published:22 July 2019Article ID:20190220
https://doi.org/10.1098/rsta.2019.0220
- This article corrects the following:
-
Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale
- Volume 374Issue 2078Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 13 October 2016
-
09 September 2019
Volume 377Issue 2153- About the cover
Cover image
The Lyapunov exponent over a two-dimensional parameter plane of a time-varying delay, which determines the character of chaotic signals in nonlinear delay systems: turbulent (bottom) in yellow and laminar (top) in blue regions. Copyright: David Müller-Bender, Andreas Otto and Günter Radons. - Front matter (PDF)
- Back matter (PDF)
- Ed board (PDF)
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