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The presence of undesirable large-amplitude self-sustained oscillations in combustors resulting from thermoacoustic instability can lead to performance loss and structural damage to components of gas turbine and rocket engines. Traditional…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 Sneha Srikanth , Ankit Sahay , Samadhan A. Pawar , Krishna Manoj , R. I. Sujith

We report the first experimental evidence of an important transition scenario, namely the transition from amplitude death (AD) to oscillation death (OD) state in coupled limit cycle oscillators. We consider two Van der Pol oscillators…

Chaotic Dynamics · Physics 2014-06-06 Tanmoy Banerjee , Debarati Ghosh

Many natural and man-made systems require suitable feedback to function properly. In this study, we aim to investigate the impact of additional complex conjugate feedback on globally coupled Stuart-Landau oscillators. We find that this…

Adaptation and Self-Organizing Systems · Physics 2022-09-14 K. Sathiyadevi , D. Premraj , Tanmoy Banerjee , M. Lakshmanan

A death of oscillation is reported in a network of coupled synchronized oscillators in presence of additional repulsive coupling. The repulsive link evolves as an averaging effect of mutual interaction between two neighboring oscillators…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 C. R. Hens , Olasunkanmi I. Olusola , Pinaki Pal , Syamal K. Dana

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous…

Optimization and Control · Mathematics 2023-08-22 S. Emre Tuna

The emergence of rich dynamical phenomena in coupled self-sustained oscillators, primarily synchronization and amplitude death, has attracted considerable interest in several fields of science and engineering. Here, we present a…

Adaptation and Self-Organizing Systems · Physics 2022-08-10 Sneha Srikanth , Samadhan A. Pawar , Krishna Manoj , R. I. Sujith

We study the death and restoration of collective oscillations in networks of oscillators coupled through random-walk diffusion. Differently than the usual diffusion coupling used to model chemical reactions, here the equilibria of the…

Adaptation and Self-Organizing Systems · Physics 2021-01-27 Pau Clusella , M. Carmen Miguel , Romualdo Pastor-Satorras

We experimentally demonstrate the occurrence of various synchronized states in coupled piece-wise linear time-delayed electronic circuits using dynamic environment coupling where the environment has its own intrinsic dynamics via feedback…

Chaotic Dynamics · Physics 2015-06-15 R. Suresh , K. Srinivasan , D. V. Senthilkumar , K. Murali , M. Lakshmanan , J. Kurths

We propose a coupled system of fast and slow phase oscillators. We observe two-step transitions to quasi-periodic motions by direct numerical simulations of this coupled oscillator system. A low-dimensional equation for order parameters is…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Hidetsugu Sakaguchi , Takayuki Okita

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

Chaotic Dynamics · Physics 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

We study the transition from amplitude death (AD) to oscillation death (OD) state in limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling scheme can induce an important transition from AD to OD even in…

Chaotic Dynamics · Physics 2014-05-27 Tanmoy Banerjee , Debarati Ghosh

We report the occurrence of amplitude death (AD) of limit cycle oscillations in a bluff body stabilized turbulent combustor through delayed acoustic self-feedback. Such feedback control is achieved by coupling the acoustic field of the…

Recently, the synchronization of coupled dynamical systems has been widely studied. Synchronization is referred to as a process wherein two (or many) dynamical systems are adjusted to a common behavior as time goes to infinity, due to…

Dynamical Systems · Mathematics 2007-09-03 Tianping Chen , Wei Wu

We consider a three-terminal system consisting of a quantum dot strongly coupled to two superconducting reservoirs in the infinite gap limit and weakly coupled to a normal metal. Using a real-time diagrammatic approach, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Markus Heckschen , Björn Sothmann

Because of disorder the current-field characteristic may show a first order phase transition as function of the field, at which the current jumps to zero when the driving exceeds a threshold. The discontinuity is caused by adding a finite…

Statistical Mechanics · Physics 2018-10-23 Thibaut Demaerel , Christian Maes

In this paper, we report the nature of transition to generalized synchronization (GS) in a system of two coupled scalar piecewise linear time-delay systems using the auxiliary system approach. We demonstrate that the transition to GS occurs…

Chaotic Dynamics · Physics 2009-11-13 D. V. Senthilkumar , M. Lakshmanan

Using a pair of coupled LRC cavities we experimentally demonstrate that instabilities and amplification action can be tamed by a spatially inhomogenous gain. Specifically we observe the counter-intuitive phenomenon of stabilization of the…

Optics · Physics 2013-09-17 M. Chitsazi , S. Factor , J. Schindler , H. Ramezani , F. M. Ellis , T. Kottos

We study two coupled discrete-time equations with different (asynchronous) periodic time scales. The coupling is of the type sample and hold, i.e., the state of each equation is sampled at its update times and held until it is read as an…

Dynamical Systems · Mathematics 2019-07-04 Stefan Siegmund , Petr Stehlik

Flutter suppression facilitates the improvement of structural reliability to ensure the flight safety of an aircraft. In this study, we propose a novel strategy for enlarging amplitude death (AD) regime to enhance flutter suppression in two…

Chaotic Dynamics · Physics 2025-12-01 Qi Liu , Riccardo Muolo , Hiroya Nakao , Yong Xu