#### Filter Results:

- Full text PDF available (31)

#### Publication Year

2003

2017

- This year (3)
- Last 5 years (30)
- Last 10 years (45)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

#### Method

#### Organism

Learn More

We show that time-delayed feedback methods, which have successfully been used to control unstable periodic orbits, provide a tool to stabilize unstable steady states. We present an analytical investigation of the feedback scheme using the Lambert function and discuss effects of both a low-pass filter included in the control loop and nonzero latency times… (More)

- B Fiedler, V Flunkert, M Georgi, P Hövel, E Schöll
- Physical review letters
- 2007

We refute an often invoked theorem which claims that a periodic orbit with an odd number of real Floquet multipliers greater than unity can never be stabilized by time-delayed feedback control in the form proposed by Pyragas. Using a generic normal form, we demonstrate that the unstable periodic orbit generated by a subcritical Hopf bifurcation, which has a… (More)

- Iryna Omelchenko, Yuri Maistrenko, Philipp Hövel, Eckehard Schöll
- Physical review letters
- 2011

We discuss the breakdown of spatial coherence in networks of coupled oscillators with nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal dynamics on the range and strength of coupling, we uncover a dynamical bifurcation scenario for the coherence-incoherence transition which starts with the appearance of narrow layers of… (More)

- Mario Konschake, Hartmut H. K. Lentz, Franz J. Conraths, Philipp Hövel, Thomas Selhorst
- PloS one
- 2013

BACKGROUND
Many networks exhibit time-dependent topologies, where an edge only exists during a certain period of time. The first measurements of such networks are very recent so that a profound theoretical understanding is still lacking. In this work, we focus on the propagation properties of infectious diseases in time-dependent networks. In particular, we… (More)

- Iryna Omelchenko, Oleh E Omel'chenko, Philipp Hövel, Eckehard Schöll
- Physical review letters
- 2013

Systems of nonlocally coupled oscillators can exhibit complex spatiotemporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of these states, found in a widely used model of a limit-cycle oscillator if one goes beyond the limit of weak coupling… (More)

- Serhiy Yanchuk, Matthias Wolfrum, Philipp Hövel, Eckehard Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2006

We present an asymptotic analysis of time-delayed feedback control of steady states for large delay time. By scaling arguments, and a detailed comparison with exact solutions, we establish the parameter ranges for successful stabilization of an unstable fixed point of focus type. Insight into the control mechanism is gained by analyzing the eigenvalue… (More)

Networks of nonlocally coupled phase oscillators1 can support chimera states in which identical oscillators evolve into distinct groups that exhibit coexisting synchronous and incoherent behaviours despite homogeneous coupling2–6. Similar nonlocal coupling topologies implemented in networks of chaotic iterated maps also yield dynamical states exhibiting… (More)

- S Schikora, P Hövel, H-J Wünsche, E Schöll, F Henneberger
- Physical review letters
- 2006

All-optical noninvasive control of a multisection semiconductor laser by means of time-delayed feedback from an external Fabry-Perot cavity is realized experimentally. A theoretical analysis, in both a generic model as well as a device-specific simulation, points out the role of the optical phase. Using phase-dependent feedback we demonstrate stabilization… (More)

- Iryna Omelchenko, Bruno Riemenschneider, Philipp Hövel, Yuri Maistrenko, Eckehard Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2012

We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Depending upon the coupling strength and coupling radius, we find characteristic spatial patterns such as wavelike profiles and study the transition from coherence to incoherence… (More)

- Thomas Dahms, Philipp Hövel, Eckehard Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2007

Time-delayed feedback methods can be used to control unstable periodic orbits as well as unstable steady states. We present an application of extended time delay autosynchronization introduced by Socolar [Phys. Rev. E 50, 3245 (1994)] to an unstable focus. This system represents a generic model of an unstable steady state which can be found, for instance,… (More)