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We show that for pulse coupled oscillators a class of phase response curves with both excitation and inhibition exhibit robust convergence to synchrony on arbitrary aperiodic connected graphs with delays. We describe the basins of…

Dynamical Systems · Mathematics 2015-05-28 Joel Nishimura , Eric J. Friedman

We present a microresonator-based system capable of simultaneously producing time-advanced and time-delayed pulses. The effect is based on the combination of a sharp spectral feature with two orthogonally-polarized propagating waveguide…

We investigate feedback control of linear quantum systems subject to feedback-loop time delays. In particular, we examine the relation between the potentially achievable control performance and the time delays, and provide theoretical…

Quantum Physics · Physics 2013-05-29 Kazunori Nishio , Kenji Kashima , Jun-ichi Imura

We propose a paradigmatic model system, a subcritical Hopf normal form subjected to noise and time-delayed feedback, to investigate the impact of time delay on coherence resonance in non-excitable systems. We develop analytical tools to…

Adaptation and Self-Organizing Systems · Physics 2014-12-08 Paul M. Geffert , Anna Zakharova , Andrea Vüllings , Wolfram Just , Eckehard Schöll

In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work…

Quantum Physics · Physics 2020-01-30 Joseph Tindall , Carlos Sánchez Muñoz , Berislav Buča , Dieter Jaksch

The spectral fluctuations of complex quantum systems, in appropriate limit, are known to be consistent with that obtained from random matrices. However, this relation between the spectral fluctuations of physical systems and random matrices…

Quantum Physics · Physics 2020-09-16 S. Harshini Tekur , M. S. Santhanam

The interband polarizations induced by two phase-locked pulses in a semiconductor show strong interference effects depending on the time tau_1 separating the pulses. The four-wave mixing signal diffracted from a third pulse delayed by tau…

Strongly Correlated Electrons · Physics 2009-10-31 H. Castella , R. Zimmermann

The X-ray radiation delay law dependence on the diffraction asymmetry parameters is analyzed. It is shown that the use of subpicosecond pulses allows to observe the time delay of pulse in crystal phenomenon and to investigate the delay law…

Optics · Physics 2007-05-23 Vladimir G. Baryshevsky

The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic…

Pattern Formation and Solitons · Physics 2009-11-13 E. Schoell , G. Hiller , P. Hoevel , M. A. Dahlem

We generalize the Kuramoto model of coupled oscillators to allow time-delayed interactions. New phenomena include bistability between synchronized and incoherent states, and unsteady solutions with time-dependent order parameters. We derive…

chao-dyn · Physics 2009-10-31 M. K. Stephen Yeung , Steven H. Strogatz

Creation and manipulation of non-classical states of light is rapidly becoming the focus of modern attosecond science. Here, we demonstrate numerically how interaction with such states can trigger the emergence of a many-body system with…

Quantum Physics · Physics 2026-05-15 Nikolai D. Klimkin , Misha Ivanov

We study parametrically driven quantum oscillators and show that, even for weak coupling between the oscillators, they can exhibit various many-body states with broken time-translation symmetry. In the quantum-coherent regime, the symmetry…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 M. I. Dykman , Christoph Bruder , Niels Lörch , Yaxing Zhang

Spontaneous symmetry breaking is an essential feature of modern science. We demonstrate that it also plays an important role in the physics of complex plasmas. Complex plasmas can serve as a powerful tool for observing and studying discrete…

Plasma Physics · Physics 2010-04-22 Sergey K. Zhdanov , Markus H. Thoma , Gregor E. Morfill

Two types of phase synchronization (accordingly, two scenarios of breaking phase synchronization) between coupled stochastic oscillators are shown to exist depending on the discrepancy between the control parameters of interacting…

Chaotic Dynamics · Physics 2007-05-23 A. A. Koronovskii , M. K. Kurovskaya , O. I. Moskalenko , A. E. Hramov

The stability of synchronous states is analysed in the context of two populations of inhibitory and excitatory neurons, characterized by different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable…

Neurons and Cognition · Quantitative Biology 2020-02-04 Afifurrahman , Ekkehard Ullner , Antonio Politi

We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic regimes. We consider two types of noise: i) phase noise acting…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Vladimir Klinshov , Dmitry Shchapin , Otti D'Huys

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay either…

Chaotic Dynamics · Physics 2015-06-23 V. Semenov , A. Feoktistov , T. Vadivasova , E. Schöll , A. Zakharova

A particularly simple setup is introduced to study the influence of time-delayed coherent feedback on the optical squeezing properties of the degenerate parametric amplifier (DPA). The possibility for significantly enhanced squeezing is…

Quantum Physics · Physics 2016-08-10 Nikolett Német , Scott Parkins

The dynamics of excitonic energy transfer in molecular complexes triggered by interaction with laser pulses offers a unique window into the underlying physical processes. The absorbed energy moves through the network of interlinked pigments…

Quantum Physics · Physics 2025-12-30 Tobias Kramer

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach…

Statistical Mechanics · Physics 2015-06-25 A. Diaz-Guilera , C. J. Perez-Vicente , A. Arenas