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The effects of periodically modulated coupling on amplitude death in two coupled nonidentical oscillators are explored. The AD domain could be significantly influenced by tuning the modulation amplitude and the modulation frequency of the…

Chaotic Dynamics · Physics 2019-04-16 Weiqing Liu , Xiaoqi Lei , Jiangnan Chen

By coupling counter--rotating coupled nonlinear oscillators, we observe a ``mixed'' synchronization between the different dynamical variables of the same system. The phenomenon of amplitude death is also observed. Results for coupled…

Chaotic Dynamics · Physics 2015-05-19 Awadhesh Prasad

The dynamics of entanglement and quantum discord for qubit-qutrit systems are studied in the presence of phase damping and amplitude damping noises. Both one way and two couplings of the marginal systems with the environments are…

Quantum Physics · Physics 2016-12-22 Salman Khan , Ishaq Ahmad

We investigated the locking behaviors of coupled limit-cycle oscillators with phase and amplitude dynamics. We focused on how the dynamics are affected by inhomogeneous coupling strength and by angular and radial shifts in the coupling…

Dynamical Systems · Mathematics 2021-01-19 Jae Hyung Woo , Christopher J. Honey , Joon-Young Moon

Experimental observations of time delay induced amplitude death in a pair of coupled nonlinear electronic circuits that are individually capable of exhibiting limit cycle oscillations are described. In particular, the existence of multiply…

Chaotic Dynamics · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

In spite of a few attempts in understanding the dynamical robustness of complex networks, this extremely important subject of research is still in its dawn as compared to the other dynamical processes on networks. We hereby consider the…

Adaptation and Self-Organizing Systems · Physics 2022-03-24 Soumen Majhi

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 study the existence and stability of phaselocked patterns and amplitude death states in a closed chain of delay coupled identical limit cycle oscillators that are near a supercritical Hopf bifurcation. The coupling is limited to nearest…

Chaotic Dynamics · Physics 2009-11-10 Ramana Dodla , Abhijit Sen , George L. Johnston

We consider a network of delay dynamical systems connected in a ring via unidirectional positive feedback with constant delay in coupling. For the specific case of Mackey-Glass systems on the ring topology, we capture the phenomena of…

Chaotic Dynamics · Physics 2015-06-18 Chiranjit Mitra , G. Ambika , Soumitro Banerjee

In this Letter, we consider a model of dynamical agents coupled through a random connectivity matrix, as introduced in [Sompolinsky et. al, 1988] in the context of random neural networks. It is known that increasing the disorder parameter…

Disordered Systems and Neural Networks · Physics 2015-06-12 Gilles Wainrib , Luis Carlos García del Molino

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

Populations and Evolution · Quantitative Biology 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

We analyze the coherent dynamics of excitons in three dimensional topologically disordered networks with traps. If the interactions between the nodes of the network are long ranged, i.e., algebraically decaying as a function of the distance…

Quantum Physics · Physics 2010-02-04 Oliver Muelken , Alexander Blumen

We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Caglar Cakan , Judith Lehnert , Eckehard Schöll

This paper investigates the stability and stabilization of diffusively coupled network dynamical systems. We leverage Lyapunov methods to analyze the role of coupling in stabilizing or destabilizing network systems. We derive critical…

Dynamical Systems · Mathematics 2025-04-02 Moise R. Mouyebe , Anthony M. Bloch

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

Chaotic Dynamics · Physics 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenomena, the synchronization of a set of interacting individuals…

Statistical Mechanics · Physics 2007-05-23 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas

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

We study the effects of network topology on the response of networks of coupled discrete excitable systems to an external stochastic stimulus. We extend recent results that characterize the response in terms of spectral properties of the…

Disordered Systems and Neural Networks · Physics 2015-03-18 Daniel B. Larremore , Woodrow L. Shew , Edward Ott , Juan G. Restrepo