Chaos in time delay systems, an educational review

H Wernecke, B Sándor, C Gros - Physics Reports, 2019 - Elsevier
The time needed to exchange information in the physical world induces a delay term when
the respective system is modeled by differential equations. Time delays are hence …

Laminar chaos in systems with quasiperiodic delay

D Müller-Bender, G Radons - Physical Review E, 2023 - APS
A type of chaos called laminar chaos was found in singularly perturbed dynamical systems
with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)] 0031-9007 …

Stability of milling with non-uniform pitch and variable helix tools

A Otto, S Rauh, S Ihlenfeldt, G Radons - The International Journal of …, 2017 - Springer
We study mechanical vibrations in milling with non-uniform pitch and variable helix tools.
The process is modeled by a periodic delay differential equation with distributed delay …

[HTML][HTML] Switching between periodic orbits in impact oscillator by time-delayed feedback methods

D Costa, V Vaziri, E Pavlovskaia, MA Savi… - Physica D: Nonlinear …, 2023 - Elsevier
An ability to exchange between different attractors can bring adaptability and new
functionalities to an engineering system. While nonlinear controllers are widely used to …

Laminar chaos in experiments: Nonlinear systems with time-varying delays and noise

JD Hart, R Roy, D Müller-Bender, A Otto, G Radons - Physical Review Letters, 2019 - APS
A new type of dynamics called laminar chaos was recently discovered through a theoretical
analysis of a scalar delay differential equation with time-varying delay. Laminar chaos is a …

Amplitude death in oscillator networks with variable-delay coupling

A Gjurchinovski, A Zakharova, E Schöll - Physical Review E, 2014 - APS
We study the conditions of amplitude death in a network of delay-coupled limit cycle
oscillators by including time-varying delay in the coupling and self-feedback. By …

Laminar chaos

D Müller, A Otto, G Radons - Physical Review Letters, 2018 - APS
We show that the output of systems with time-varying delay can exhibit a new kind of chaotic
behavior characterized by laminar phases, which are periodically interrupted by irregular …

Genetic algorithm (GA)–based delay feedback control of chaotic behavior in the voltage mode controlled direct current (DC) drive system

S Emiroglu, Y Uyaroglu - Zeitschrift für Naturforschung A, 2021 - degruyter.com
In this paper, the chaotic behavior and chaos control in a voltage mode controlled DC drive
system are investigated. The dynamical behavior of the system changing from the …

State-dependent act-and-wait time-delayed feedback control algorithm

V Pyragas, K Pyragas - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
Time-delayed feedback control (TDFC) method is one of the most popular experimental
tools used for stabilization of unstable periodic orbits in nonlinear dynamical systems. The …

Laminar chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of laminar chaos

D Müller-Bender, A Otto, G Radons, JD Hart, R Roy - Physical Review E, 2020 - APS
Recently, it was shown that certain systems with large time-varying delay exhibit different
types of chaos, which are related to two types of time-varying delay: conservative and …