Article
Mathematics, Applied
Guillermo H. Goldsztein, Lars Q. English, Emma Behta, Hillel Finder, Alice N. Nadeau, Steven H. Strogatz
Summary: Using theory, experiment, and simulation, this study examines the dynamics of two coupled metronomes on a moving platform. The experiments show that the platform motion is damped by a dry friction force of Coulomb type, contrary to previous assumptions of viscous linear friction force. A new mathematical model is developed based on previous models but with a different treatment of friction. The model analysis reveals various long-term behaviors, including synchronization, phase locking, and suppression, shedding light on the dynamics of coupled metronomes.
Article
Physics, Fluids & Plasmas
Biswabibek Bandyopadhyay, Tanmoy Banerjee
Summary: This study investigates the impact of Kerr anharmonicity on the symmetry-breaking phenomena of coupled quantum oscillators, revealing that Kerr nonlinearity hinders the process of symmetry breaking in both cases. The findings provide a means to control and engineer symmetry-breaking states for quantum technology.
Article
Mathematics, Interdisciplinary Applications
Olesia Dogonasheva, Dmitry Kasatkin, Boris Gutkin, Denis Zakharov
Summary: The study introduces a universal approach to identify multiple network dynamical states and automatically disambiguates synchronized clusters. The method exhibits robustness for different network structures, can determine the number of clusters in cluster synchronization scenarios, and is applicable to various relaxation oscillator networks.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Rico Berner, Simon Vock, Eckehard Schoell, Serhiy Yanchuk
Summary: The study developed a master stability approach for a wide class of adaptive networks, simplifying the synchronization problem to a low-dimensional system and revealing the interplay between adaptivity and network structure in the formation of stability islands and complex synchronization patterns.
PHYSICAL REVIEW LETTERS
(2021)
Article
Mathematics, Applied
Peihua Feng, Jiayi Yang, Ying Wu, Zhilong Liu
Summary: Chimera, the coexistence of synchronization and non-synchronization in complex networks, has great explanatory power for unihemispheric sleep in birds and mammals. In this study, a coupled nonlinear oscillator system with a modular complex network topology was used to simulate the left and right hemispheres of the brain. The results showed the emergence of stable chimera, alternating chimera, and breathing chimera when changing the coupling strength and connection probability. Furthermore, the study found that the alternating chimera was robust to Gaussian white noise. This research provides deeper insights into the mechanism of brain functions like unihemispheric sleep.
Review
Physics, Multidisciplinary
Tianwei Wu, Xinhua Zhang, Zonghua Liu
Summary: This article provides a comprehensive review on the main features of the human brain, cognitive functions, construction of anatomical and functional brain networks, pathological brain networks, research methods, and understanding of brain function mechanisms from the perspective of brain networks.
FRONTIERS OF PHYSICS
(2022)
Article
Automation & Control Systems
Xiaolin Yuan, Guojian Ren, Yongguang Yu, Wenjiao Sun
Summary: This paper investigates the mean-square pinning control problem of fractional stochastic discrete-time complex networks. It establishes a new model with stochastic noise and develops pinning controllers and sufficient conditions for the complex networks. By utilizing Lyapunov energy function theory and matrix analysis theory, it proves that synchronization of the networks can be achieved in a mean-square sense via pinning control. Furthermore, these results are extended to solve the synchronization problem of general fractional discrete-time complex networks without noise.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Zhen Su, Juergen Kurths, Yaru Liu, Serhiy Yanchuk
Summary: Extreme multistability refers to the appearance of infinitely many coexisting attractors or continuous families of stable states in dynamical systems. In this study, we investigate a model of pendulum clocks coupled by springs and suspended on an oscillating base to demonstrate how extreme multistability can be induced through specifically designed coupling. Symmetric coupling is found to increase the dynamical complexity, leading to the generation of multiple isolated attractors and continuous families of stable periodic states. These coexisting states exhibit different levels of phase synchronization and can display splitting behavior.
Article
Physics, Multidisciplinary
Vyacheslav O. Munyayev, Maxim I. Bolotov, Lev A. Smirnov, Grigory V. Osipov, Igor Belykh
Summary: We investigate the expression of multiple cooperative rhythms in Kuramoto-Sakaguchi networks with higher-order Fourier modes. We find that three-cluster splay states with two distinct coherent clusters and a solitary oscillator are the prevailing rhythms in networks with an odd number of units. These states, called cyclops states, become global attractors across the full range of repulsion when the second or third harmonics are added to the coupling function. Our findings also extend to networks of theta neurons with adaptive coupling. Overall, our results provide clues for finding dominant rhythms in repulsive physical and biological networks.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
Sindre W. Haugland, Anton Tosolini, Katharina Krischer
Summary: The text explores the behaviors of coupled oscillators, including synchronization and incoherence, as well as the discovery of "chimera states" and their relationship with synchronization and asynchronization. It demonstrates that globally coupled identical oscillators can express a wider range of coexistence patterns, including chimeras.
NATURE COMMUNICATIONS
(2021)
Article
Automation & Control Systems
Ying Cui, Luyang Yu, Yurong Liu, Wenbing Zhang, Fawaz E. Alsaadi
Summary: This paper investigates the non-fragile state estimation problem for a class of continuous-time delayed complex networks. A dynamic event-triggering mechanism is applied to improve resource utilization efficiency and gain matrices of the estimator are computed based on certain matrix inequalities to ensure robustly exponential boundedness for estimation error dynamics. An illustrative simulation is presented to demonstrate the validity of the proposed non-fragile estimator.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Interdisciplinary Applications
I. A. Shepelev, A. Bukh, G. Strelkova, V. S. Anishchenko
Summary: This study investigates relay synchronization of wave structures in a heterogeneous three-layer network, with remote layers consisting of coupled van der Pol oscillators and a middle layer composed of FitzHugh-Nagumo neurons. It is shown that even weak inter-layer coupling can lead to anti-phase relay synchronization of target wave patterns in the network. Stronger inter-layer coupling results in in-phase synchronization of spatio-coherent structures in the network layers.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Mahtab Mehrabbeik, Sajad Jafari, Riccardo Meucci, Matjaz Perc
Summary: This paper studies the synchronization of globally coupled identical laser models via linear and nonlinear forms of diffusive couplings. The results show that complete synchronization can be achieved in laser models under linear diffusive function but not under nonlinear diffusive function. Multistability is observed in different network states such as cluster synchronization, chimera, and solitary states.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Alejandro Carballosa, Alberto P. Munuzuri
Summary: This study proposes a mathematical model that analyzes the consequences of mixing on synchronization patterns. It finds that low levels of mixing can lead to irregular states and novel non-fully synchronized behaviors in a small parameter space.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
M. A. Ferre
Summary: Chimera states refer to a spatiotemporal phenomenon where coherence and incoherence dynamics coexist in homogeneous systems. Originally observed in non-locally coupled phase oscillators, this phenomenon has been observed in various systems including chaotic maps, time-delay systems, and complex networks. This review summarizes the different systems where chimera states are observed, focusing on theoretical and experimental contributions. It also critically examines the definitions of chimera states and presents some related works. Furthermore, new research perspectives are suggested due to the stage of the field.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Anshul Choudhary, John F. Lindner, Elliott G. Holliday, Scott T. Miller, Sudeshna Sinha, William L. Ditto
Summary: Conventional neural networks may require large training data for approximating nonlinear dynamics, while Hamiltonian neural networks are efficient for energy-conserving dynamical systems but require special canonical coordinates. Combining the two networks accurately forecasts Hamiltonian dynamics from noncanonical coordinates, demonstrated in examples like predator-prey models and a compound pendulum clock video.
NONLINEAR DYNAMICS
(2021)
Article
Multidisciplinary Sciences
K. Murali, S. Rajasekar, Manaoj V. Aravind, Vivek Kohar, W. L. Ditto, Sudeshna Sinha
Summary: Logical Stochastic Resonance (LSR) produces a logic function response in moderate noise, extendable to higher-level logic architecture. Furthermore, Logical Vibrational Resonance (LVR) and Logical Coherence Resonance (LCR) exhibit similar effects as LSR.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Physics, Multidisciplinary
K. Murali, Sudeshna Sinha, Vivek Kohar, William L. Ditto
Summary: By utilizing the tipping points in complex systems, reliable, highly amplified, and rapidly switching logic operations between different attractors can be achieved. Multi-input logic and noise can enhance the reliability and diversity of logic operations in the system.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Mathematics, Applied
Manaoj Aravind, Sudeshna Sinha, P. Parmananda
Summary: Research has shown that noise can influence synchronization in systems, especially in bistable dynamical systems, leading to counter-intuitive emergent behavior. Correlated noise enhances coherence while interactions push states apart.
Article
Mathematics, Applied
Sudhanshu Shekhar Chaurasia, Animesh Biswas, P. Parmananda, Sudeshna Sinha
Summary: This study investigates the behavior of two coupled oscillators with different timescales, finding that a large timescale mismatch leads to oscillation suppression, while phase synchronization occurs when timescales are comparable. Numerical simulations demonstrate the concept further, showing that timescale differences can be used as a tuning parameter. The findings suggest that chaos aids oscillation suppression in coupled systems, and small changes in timescales may prevent system failure and stabilize coupled systems.
Article
Physics, Applied
K. Murali, W. L. Ditto, Sudeshna Sinha
Summary: We present a direct method to implement all basic logical operations using a single bistable system in the presence of noise. By exploiting the hopping between dynamical states and assisted by the noise floor, the full set of logic operations can be achieved. Our results are further verified in electronic circuit experiments, showcasing the robustness and wide applicability of this idea.
PHYSICAL REVIEW APPLIED
(2022)
Article
Physics, Multidisciplinary
Rajarshi Dasgupta, Anugraha Arun, Sudeshna Sinha
Summary: The article examines a variant of the Bak-Sneppen model with random links, demonstrating the robustness of self-organized criticality and exploring the characteristics of the emergent activity network. The findings show that the activity network's mean path length remains stable with random links, while the niche network is sensitive to the probability of random rewiring. The size and characteristic size of the activity network are independent of the system size.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematics, Interdisciplinary Applications
Komal Chawla, Sudeshna Sinha
Summary: We investigate the behavior of coupled chaotic oscillators, in which one unit has inherently different dynamics. We discover that the presence of a single dissimilar chaotic system in the network can drive all the chaotic oscillators to form regular limit cycles. Additionally, the resulting regular cycles are significantly smaller than the uncoupled chaotic attractors. Surprisingly, the greater the geometric dissimilarity between the single distinct system and the other chaotic oscillators, the stronger the emergent control becomes. Furthermore, the position of the dissimilar system in the network does not affect the control when the dissimilar element is markedly different. Thus, increased heterogeneity in coupled systems leads to more pronounced and robust controllability. Our findings have potential implications for designing new control strategies in engineered systems and understanding how naturally occurring complex systems can evolve to exhibit regular dynamics through coupling with heterogeneous subsystems.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
Chandrakala Meena, Chittaranjan Hens, Suman Acharyya, Simcha Haber, Stefano Boccaletti, Baruch Barzel
Summary: The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Real-world networks often appear random and irregular, but the principles underlying their stability can be revealed through the study of the stability matrix. The dynamic Jacobian ensemble allows for systematic investigation of the fixed-point dynamics of network-based models, revealing discrete stability classes and the importance of scale and heterogeneity in ensuring stability.
Article
Physics, Applied
K. Murali, Manaoj Aravind, Sudeshna Sinha
Summary: Invertible logic is a powerful unconventional computing paradigm that enables bidirectional operations in the presence of noise. It can be implemented using a network of interconnected nonlinear systems. The system acts as a unique invertible logic circuit by exploiting the probabilistic transitions between the dynamical states of the coupled noisy nonlinear systems.
PHYSICAL REVIEW APPLIED
(2023)
Article
Physics, Fluids & Plasmas
Swarnendu Mandal, Sudeshna Sinha, Manish Dev Shrimali
Summary: This paper explores the use of a low-dimensional dynamical system, a driven pendulum, as a potential concept for reservoir computing. Results from numerical simulations and experiments demonstrate that even a single simple system can successfully perform learning tasks, suggesting a new direction for designing efficient reservoir layers.
Article
Biology
Deeptajyoti Sen, Sudeshna Sinha
Summary: This study investigates the dynamics of two coupled three-species population patches with the incorporation of the Allee effect and focuses on the occurrence of extreme events in the coupled system. The results show that the interplay between coupling and the Allee effect can change the nature of the dynamics, leading to chaotic dynamics in certain ranges of Allee parameters and coupling strengths. Moreover, beyond specific thresholds of the Allee parameter and coupling strength, all three species exhibit a non-zero probability of extreme events. The presence of extreme events is most prevalent in the predator populations, and is not significantly affected by the coupling strength or the Allee effect. Additionally, the study demonstrates that additive noise can suppress unbounded vegetation growth induced by the combination of the Allee effect and coupling, and mitigates extreme events in all three populations. Beyond a certain level of noise, no extreme events are observed in the system. These findings have important implications for understanding the observability of extreme events in natural and laboratory systems.
JOURNAL OF BIOSCIENCES
(2022)
Article
Physics, Fluids & Plasmas
Ishant Tiwari, Richa Phogat, Animesh Biswas, P. Parmananda, Sudeshna Sinha
Summary: In this work, the quenching of oscillations observed in coupled chemomechanical oscillators is reported. Experimental and numerical analyses demonstrate that attenuated coupling can lead the coupled system to a quenched state. Through linear stability analysis, it is shown that attenuated coupling induces a change in eigenvalues of the relevant matrix, resulting in stable quenched oscillation states. This phenomenon suggests a powerful natural mechanism that can potentially suppress periodic and aperiodic oscillations in coupled nonlinear systems.
Article
Physics, Fluids & Plasmas
Manaoj Aravind, P. Parmananda, Sudeshna Sinha
Summary: This article introduces a dynamical scheme to obtain a reconfigurable noise-aided logic gate that can perform all six fundamental two-input logic operations, including the XOR operation. By utilizing noise and coupling effects, the synchronization state of outputs from coupled bistable subsystems robustly maps to two-input logic operations of driving signals. The reliable regions for logic operations in parameter space were characterized through numerical simulations and experimental data analysis.
Article
Chemistry, Multidisciplinary
Santosh Kumar Meena, Chandrakala Meena
Summary: The study explores the importance of shape modulation of nanoparticles for tailored applications, and investigates how surfactants, ions, reactants, and other additives affect the anisotropic growth of gold nanoparticles. Through simulations, the impact of different surfactants on the shape formation of gold nanoparticles is revealed, providing a theoretical basis for controlling the morphology of nanoparticles.
