4.7 Article

Symmetry breaking dynamics induced by mean-field density and low-pass filter

期刊

CHAOS
卷 30, 期 5, 页码 -

出版社

AMER INST PHYSICS
DOI: 10.1063/1.5142234

关键词

-

资金

  1. SASTRA Deemed University
  2. CSIR EMR grant [03(1400)/17/EMR-II]
  3. CSIR [03(1444)/18/EMR-II]

向作者/读者索取更多资源

The phenomenon of spontaneous symmetry breaking facilitates the onset of a plethora of nontrivial dynamical states/patterns in a wide variety of dynamical systems. Spontaneous symmetry breaking results in amplitude and phase variations in a coupled identical oscillator due to the breaking of the prevailing permutational/translational symmetry of the coupled system. Nevertheless, the role and the competing interaction of the low-pass filter and the mean-field density parameter on the symmetry breaking dynamical states are unclear and yet to be explored explicitly. The effect of low pass filtering along with the mean-field parameter is explored in conjugately coupled Stuart-Landau oscillators. The dynamical transitions are examined via bifurcation analysis. We show the emergence of a spontaneous symmetry breaking (asymmetric) oscillatory state, which coexists with a nontrivial amplitude death state. Through the basin of attraction, the multi-stable nature of the spontaneous symmetry breaking state is examined, which reveals that the asymmetric distribution of the initial state favors the spontaneous symmetry breaking dynamics, while the symmetric distribution of initial states gives rise to the nontrivial amplitude death state. In addition, the trade-off between the cut-off frequency of the low-pass filter along with the mean-field density induces and enhances the symmetry breaking dynamical states. Global dynamical transitions are discussed as a function of various system parameters. Analytical stability curves corresponding to the nontrivial amplitude death and oscillation death states are deduced.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Physics, Multidisciplinary

Analysis of the second wave of COVID-19 in India based on SEIR model

R. Gopal, V. K. Chandrasekar, M. Lakshmanan

Summary: This article discusses the situation of the second wave of COVID-19 in India and estimates the number of infected individuals using the SEIR model. The findings show that individual efforts and government actions are the most important factors in controlling the pandemic.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Physics, Multidisciplinary

Quantifying the Quantumness of an Ensemble of Quantum States

R. Muthuganesan, V. K. Chandrasekar

Summary: In this article, a generalized definition of fidelity and affinity for an ensemble of quantum states is proposed. Based on these coherence quantifiers, a quantifier for the quantumness of the ensemble is developed. It is shown that this quantifier satisfies the necessary axioms of a legitimate measure of quantumness. The quantumness of several well-known ensembles is also computed.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS (2022)

Article Physics, Condensed Matter

Spin torque oscillations triggered by in-plane field

R. Arun, R. Gopal, V. K. Chandrasekar, M. Lakshmanan

Summary: We studied the dynamics of a spin torque nano oscillator and found that a short duration in-plane magnetic field can trigger self-oscillations of magnetization. The oscillation frequency can be tuned by current, even without a field-like torque, and field-like torque can enhance the frequency. Our analysis shows that the Q-factor increases with frequency. The system is stable against thermal noise and its dynamics are not significantly affected by it.

JOURNAL OF PHYSICS-CONDENSED MATTER (2022)

Article Mathematics, Interdisciplinary Applications

Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging

K. Sathiyadevi, D. Premraj, Tanmoy Banerjee, Zhigang Zheng, M. Lakshmanan

Summary: We investigated the aging transition in a globally coupled network of Stuart-Landau oscillators under discrete time-dependent coupling. Our findings reveal that by adjusting the time period and duty cycle of the ON-OFF intervals, the aging region can significantly shrink, leading to the restoration of oscillatory dynamics. The results also indicate that the type of coupling and pulse interval play crucial roles in controlling the aging dynamics, providing a noninvasive approach to restore oscillatory dynamics from an aging state in a coupled oscillator network.

CHAOS SOLITONS & FRACTALS (2022)

Article Physics, Multidisciplinary

A class of isochronous and non-isochronous nonlinear oscillators

J. Ramya Parkavi, R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan

Summary: In this paper, a method for generating nonlinear ordinary differential equations (ODEs) is proposed to describe the dynamics of nonlinear oscillators with either amplitude independent frequency or amplitude-dependent frequency. The method includes deriving the associated integrals and general solutions in harmonic form for both cases. The applicability of this method is demonstrated through examples of coupled first-order nonlinear ODEs.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Physics, Multidisciplinary

Effects of intrinsic decoherence on quantum correlations in a two superconducting charge qubit system

P. Naveena, R. Muthuganesan, V. K. Chandrasekar

Summary: This article studies the nonlocal correlation and the influence of decoherence on the temporal evolution of a pair of superconducting charge qubits. The results show that Josephson energy enhances the resistibility against decoherence.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2022)

Article Physics, Multidisciplinary

Extreme bursting events via pulse-shaped explosion in mixed Rayleigh-Lienard nonlinear oscillator

B. Kaviya, R. Suresh, V. K. Chandrasekar

Summary: We study the dynamics of a hybrid model and report the emergence of extreme bursting events due to a novel pulse-shaped explosion mechanism. The system exhibits complex periodic and chaotic bursting patterns as a function of excitation frequencies, along with small oscillations. We identify the appearance of a sharp pulse-like transition in the equilibrium points of the system as the underlying mechanism for the development of bursting events. The controlling aspect of extreme events is attempted by incorporating a linear damping term.

EUROPEAN PHYSICAL JOURNAL PLUS (2022)

Article Physics, Multidisciplinary

Quantum solvability of a nonlinear δ-type mass profile system: coupling constant quantization

V. Chithiika Ruby, V. K. Chandrasekar, M. Lakshmanan

Summary: In this paper, we discuss the quantum dynamics of a nonlinear system that has temporally localized solutions at the classical level. We consider a general ordered position-dependent mass Hamiltonian with arbitrary ordering parameters for the mass term. The mass function in this case is singular at the origin. We observe that the quantum system has bounded solutions, but the coupling parameter of the system becomes quantized, which is also confirmed by semiclassical study.

JOURNAL OF PHYSICS COMMUNICATIONS (2022)

Article Mathematics, Applied

Impact of external excitations on blinking enhanced synchronization in bistable vibrational energy harvesters

Premraj Durairaj, Sathiyadevi Kanagaraj, Prakash Duraisamy, Anitha Karthikeyan, Karthikeyan Rajagopal

Summary: Vibrational energy harvesters can convert low-frequency broad-band mechanical energy into electrical power, making them suitable for implantable medical devices and wireless sensors. By introducing blinking into the coupling function, we can improve synchronization in bistable energy harvesters with periodic and quasiperiodic excitations. The research shows that increasing the proportion of blinking can initiate synchronization even with lower optimal coupling strength.
Article Multidisciplinary Sciences

Influence of Parametric Symmetry on the Dynamics of 3D Sinusoidal Discrete Systems

Karthikeyan Rajagopal, Sathiyadevi Kanagaraj, Christos Volos, Anitha Karthikeyan

Summary: The discrete system is important for mimicking the collective dynamics of continuous dynamical systems, which are relevant to many natural and artificial systems. In this study, we use three-dimensional sinusoidal discrete maps with a self-feedback factor to investigate the dynamical transitions. We demonstrate the presence of symmetry in parametric variation using two parameter diagrams and explore the transitions in a network of sine maps with self-feedback. Negative feedback leads to a transition from cluster state to synchronization, while increasing feedback from negative to positive causes a transition from synchronization to desynchronization via chimera state in various complex network connectivities.

SYMMETRY-BASEL (2023)

Article Biology

Collective dynamics of a coupled Hindmarsh-Rose neurons with locally active memristor

Sathiyadevi Kanagaraj, Premraj Durairaj, Sivaperumal Sampath, Anitha Karthikeyan, Karthikeyan Rajagopal

Summary: Locally active memristors can mimic neural synapses and generate rich neuro-morphological dynamics in biological neurons. Coupled Hindmarsh-Rose neurons exhibit synchronization behavior under different network connectivities.

BIOSYSTEMS (2023)

Article Mathematics, Interdisciplinary Applications

Diverse phase transitions in Kuramoto model with adaptive mean-field coupling breaking the rotational symmetry

M. Manoranjani, D. V. Senthilkumar, V. K. Chandrasekar

Summary: We analyze the behavior of Kuramoto oscillators coupled via an adaptive mean-field variable and identify distinct phase transitions in different ranges of the time-scale parameter. We derive the evolution equations for the macroscopic order parameters and find consistent results with the observed dynamical transitions.

CHAOS SOLITONS & FRACTALS (2023)

Article Physics, Fluids & Plasmas

Emergence of extreme events in a quasiperiodic oscillator

Premraj Durairaj, Sathiyadevi Kanagaraj, Suresh Kumarasamy, Karthikeyan Rajagopal

Summary: Extreme events are unusual and rare large-amplitude fluctuations that can occur unexpectedly in nonlinear dynamical systems, characterized by events above the extreme event threshold. Different mechanisms and prediction measures for extreme events have been reported. Studies have shown that extreme events are both linear and nonlinear in nature, with rare frequency of occurrence and extreme amplitude. In this Letter, we report on a special class of nonchaotic and nonperiodic extreme events that appear between quasiperiodic and chaotic dynamics of the system. We demonstrate the existence of such extreme events with various statistical measures and characterization techniques.

PHYSICAL REVIEW E (2023)

Article Physics, Fluids & Plasmas

Additional complex conjugate feedback-induced explosive death and multistabilities

K. Sathiyadevi, D. Premraj, Tanmoy Banerjee, M. Lakshmanan

Summary: This study investigates the impact of additional complex conjugate feedback on globally coupled Stuart-Landau oscillators, revealing phenomena such as symmetry breaking clusters, out-of-phase clusters, explosive amplitude death, and disparate multistable states. By characterizing the first-order transition and hysteresis nature through the amplitude order parameter, mapping global dynamical transitions in parametric spaces, analyzing bifurcation scenarios of the reduced model, and exploring basin stability, the research sheds light on emergent dynamics in the presence of additional feedback.

PHYSICAL REVIEW E (2022)

Article Physics, Fluids & Plasmas

Influence of asymmetric parameters in higher-order coupling with bimodal frequency distribution

M. Manoranjani, R. Gopal, D. Senthilkumar, V. K. Chandrasekar, M. Lakshmanan

Summary: In this study, we investigate the phase diagram of the Sakaguchi-Kuramoto model, including both higher-order interactions and traditional pairwise interactions. By introducing asymmetry parameters and examining different frequency distributions, we analyze the collective dynamics and transitions in the phase diagrams. The results demonstrate that higher-order coupling leads to the spread of bistable regions and the manifestation of bistability between incoherent and partially synchronized states, even with unimodal frequency distribution. The asymmetry parameters facilitate the emergence of multiple bistable regions in the phase diagrams, and larger values of the asymmetry parameters result in only monostable dynamical states in the phase diagrams.

PHYSICAL REVIEW E (2022)

暂无数据