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Here we extend a recent review (Physics Reports {\bf 521}, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear dynamical systems. This is an important emergent phenomenon…

混沌动力学 · 物理学 2014-03-05 Garima Saxena , Nirmal Punetha , Awadhesh Prasad , Ram Ramaswamy

Amplitude death is a dynamical phenomenon in which a network of oscillators settles to a stable state as a result of coupling. Here, we study amplitude death in a generalized model of delay-coupled delay oscillators. We derive analytical…

混沌动力学 · 物理学 2015-06-11 Johannes M. Höfener , Gautam C. Sethia , Thilo Gross

Amplitude death can occur in chaotic dynamical systems with time-delay coupling, similar to the case of coupled limit cycles. The coupling leads to stabilization of fixed points of the subsystems. This phenomenon is quite general, and…

混沌动力学 · 物理学 2011-11-24 Awadhesh Prasad

The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic…

混沌动力学 · 物理学 2017-08-02 Soumen Majhi , Dibakar Ghosh

Hamiltonian systems, when coupled {\it via} time--delayed interactions, do not remain conservative. In the uncoupled system, the motion can typically be periodic, quasiperiodic or chaotic. This changes drastically when delay coupling is…

混沌动力学 · 物理学 2015-06-15 Garima Saxena , Awadhesh Prasad , Ram Ramaswamy

Restoration of oscillation from an oscillation suppressed state in coupled oscillators is an important topic of research and has been studied widely in recent years. However, the same in the quantum regime has not been explored yet. Recent…

量子物理 · 物理学 2021-06-30 Biswabibek Bandyopadhyay , Tanmoy Banerjee

This paper investigates the emergence of amplitude death and revival of oscillations from the suppression states in a system of coupled dynamical units interacting through delayed cyclic mode. In order to resurrect the oscillation from…

混沌动力学 · 物理学 2017-07-19 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh

We study the quantum manifestations of homogeneous and inhomogeneous oscillation suppression states in coupled identical quantum oscillators. We consider quantum van der Pol oscillators coupled via weighted mean-field diffusive coupling and…

混沌动力学 · 物理学 2021-01-04 Biswabibek Bandyopadhyay , Taniya Khatun , Debabrata Biswas , Tanmoy Banerjee

When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important emergent phenomenon is the complete…

混沌动力学 · 物理学 2015-03-13 Garima Saxena , Awadhesh Prasad , Ram Ramaswamy

We consider a system of two interacting identical Van der Pol Oscillators in a simple harmonic potential well. The position coupling term between the oscillators is such that there is a finite delay, i.e; each system takes a finite time to…

混沌动力学 · 物理学 2017-09-29 Satadal Datta

We study the collective behaviors in a ring of coupled nonidentical nonlinear oscillators with unidirectional coupling, of which natural frequencies are distributed in a random way. We find the amplitude death phenomena in the case of…

混沌动力学 · 物理学 2017-08-30 Jung-Wan Ryu , Jong-Ho Kim , Woo-Sik Son , Dong-Uk Hwang

Quenching of oscillations, namely amplitude and oscillations death, is an emerging phenomenon exhibited by many real-world complex systems. Here, we introduce a scheme that combines dissimilar couplings and repulsive feedback links for the…

适应与自组织系统 · 物理学 2022-11-08 Subhasanket Dutta , Omar Alamoudi , Yash Shashank Vakilna , Sandipan Pati , Sarika Jalan

We introduce a general mechanism for amplitude death in coupled synchronizable dynamical systems. It is known that when two systems are coupled directly, they can synchronize under suitable conditions. When an indirect feedback coupling…

混沌动力学 · 物理学 2011-10-27 V. Resmi , G. Ambika , R. E. Amritkar

We investigate the synchronization behavior of a system of globally coupled, continuous-time oscillators possessing robust chaos. The local dynamics corresponds to the Shimizu-Morioka model where the occurrence of robust chaos in a region…

混沌动力学 · 物理学 2015-06-19 M. J. Palazzi , M. G. Cosenza

This paper studies the effects of coupling with distributed delay on the suppression of oscillations in a system of coupled Stuart-Landau oscillators. Conditions for amplitude death are obtained in terms of strength and phase of the…

混沌动力学 · 物理学 2012-09-21 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

We investigate the dynamical behaviour of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We…

chao-dyn · 物理学 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

We propose amplitude death phenomenon as an underlying mechanism of auditory transduction. When non-identical auditory hair bundles are elastically coupled, their spontaneous oscillations can be quenched to form an amplitude death state. We…

生物物理 · 物理学 2013-02-05 Kang-Hun Ahn

A paradigm for quantum synchronization is the quantum analog of the Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e. vanishingly small) nonlinearity. Due to this limitation, the quantum…

量子物理 · 物理学 2023-06-22 Yuan Shen , Wai-Keong Mok , Changsuk Noh , Ai Qun Liu , Leong-Chuan Kwek , Weijun Fan , Andy Chia

When a composite quantum state interacts with its surroundings, both quantum coherence of individual particles and quantum entanglement will decay. We have shown that under vacuum noise, i.e., during spontaneous emission, two-qubit…

量子物理 · 物理学 2007-05-23 Ting Yu , J. H. Eberly

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

量子物理 · 物理学 2007-05-23 Rachael M. McDermott , Ian H. Redmount
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