Article
Multidisciplinary Sciences
Janina Hesse, Jan-Hendrik Schleimer, Nikolaus Maier, Dietmar Schmitz, Susanne Schreiber
Summary: Based on mathematical modeling, the authors explore a type of action potential dynamics that can induce synchronization patterns in neural networks. This type of dynamics may be prevalent in the brain and has the potential to impact neural network states and processes of encoding information.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Fluids & Plasmas
Alberto Ferrara, David Angulo-Garcia, Alessandro Torcini, Simona Olmi
Summary: This study investigates the impact of spike-frequency adaptation (SFA) on the macroscopic dynamics of excitatory and inhibitory neural networks. Using an exact mean-field reduction method, synthetic neural mass models are employed to analyze the effects of SFA. The results demonstrate that SFA promotes population bursts in excitatory networks while inhibiting tonic spiking in inhibitory ones. Additionally, the symmetric coupling of two neural masses leads to the emergence of macroscopic solutions with broken symmetry, exhibiting cross-frequency coupling (CFC) between fast synaptic and slow adaptation timescales.
Article
Mathematics, Interdisciplinary Applications
Qinsheng Bi, Junting Gou
Summary: Hopf bifurcation is a common phenomenon that leads to transitions between quiescence and spiking states in bursting attractors. The number of bursting attractor types near a Hopf bifurcation point remains an open problem. In this study, by introducing a low-frequency external excitation to a normal form, we obtained four types of quasi-periodic bursting oscillations based on the equilibrium branches and bifurcations of the fast subsystem as the excitation varied. The mechanisms of these bursting oscillations were obtained through overlap of equilibrium branches and bifurcations in the autonomous system.
CHAOS SOLITONS & FRACTALS
(2023)
Review
Biochemical Research Methods
Mathieu Desroches, John Rinzel, Serafim Rodrigues
Summary: Bursting is a fundamental rhythm in excitable cells that has been extensively studied in computational biology. The classification of bursting oscillations has been actively researched since the early 1980s and provides a foundation for understanding complex temporal behaviors in cellular activity models. This review presents the seminal works in classifying bursting patterns and introduces an extended classification that considers both fast and slow subsystems of an underlying model. The proposed framework allows for the analysis of a larger class of bursters and introduces a new class of bursters called folded-node bursters. The importance of developing modeling frameworks to capture and understand bursting patterns is emphasized. The review also highlights the potential applications of the proposed classification system in studying complex cellular activity.
PLOS COMPUTATIONAL BIOLOGY
(2022)
Article
Acoustics
Y. X. Hao, M. X. Wang, W. Zhang, S. W. Yang, L. T. Liu, Y. H. Qian
Summary: This paper investigates the bending-torsion coupling bursting oscillations of cantilever functionally graded materials sandwich conical panels under static and low-frequency harmonic excitation. It is found through numerical methods that the vibration mechanism is related to pitchfork bifurcation with symmetry breaking.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Mathematics, Applied
Luciano A. Magrini, Margarete Oliveira Domingues, Elbert E. N. Macau, Istvan Z. Kiss
Summary: This study investigated synchronization of coupled electrochemical bursting oscillators through the electrodissolution of iron in sulfuric acid. The results showed a progressive transition with increasing coupling strength, where synchronization between oscillators went from overlapping fast burst intervals, to synchronization of fast spiking, and finally to synchronization of slow chaotic oscillations. In a population of 25 globally coupled oscillators, coupling eliminated fast dynamics, leaving only synchronization of slow dynamics.
Article
Acoustics
Juanjuan Huang, Qinsheng Bi
Summary: This study investigates bursting oscillations in a vector field with triple Hopf bifurcation, and observes the evolution of stable limit cycles and the synchronization behavior of state variables by introducing slow-varying external excitation. An interesting finding is the quasi-periodic behavior in the three-mode bursting oscillations.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Physics, Multidisciplinary
Takahiro Arai, Yoji Kawamura, Toshio Aoyagi
Summary: This study examines the impact of observed variable types on the extraction of macroscopic phase coupling functions between collective oscillations, revealing directional asymmetry in the robustness of extracting the macroscopic phase coupling function between two networks. The results suggest that regardless of the observed variable type, the method can consistently extract phase coupling functions, and there is an asymmetry in the reliability of extracting phase coupling functions in different directions between networks.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2022)
Article
Engineering, Electrical & Electronic
Hairong Lin, Chunhua Wang, Chengjie Chen, Yichuang Sun, Chao Zhou, Cong Xu, Qinghui Hong
Summary: This paper investigates neural bursting and synchronization by modeling two neural network models based on the Hopfield neural network, showing that these networks can generate rich dynamic behaviors. The synchronization dynamics of the coupling neural network can produce different types of synchronous behaviors depending on the synaptic coupling strength, such as anti-phase bursting synchronization, anti-phase spiking synchronization, and complete bursting synchronization.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Mathematics, Applied
Xindong Ma, Qinsheng Bi, Lifeng Wang
Summary: This paper theoretically presents complex bursting patterns caused by the coupling effect of different frequency scales in the RVDPDO driven by the external excitation term. Seven different kinds of bursting are studied using various analytical techniques, and the sensitivity of dynamical characteristics of RVDPDO to parameter variation is shown. The research validity is tested and verified through numerical simulations.
JOURNAL OF NONLINEAR SCIENCE
(2022)
Article
Mathematics
Bo Lu, Xiaofang Jiang
Summary: The paper presents the characteristics and modeling approach of intrinsic bursting neurons, demonstrating the effectiveness of projection reduction and bifurcation analysis in revealing the intrinsic features of the simplified model and its practicality in neuronal modeling.
ELECTRONIC RESEARCH ARCHIVE
(2023)
Article
Mathematics, Applied
Viktor Novicenko, Irmantas Ratas
Summary: This work discusses the simplification and control of weakly coupled limit cycle oscillators into phase models for synchronization analysis, presenting an improved delayed feedback control algorithm that allows for successful switching between in-phase and anti-phase synchronization through numerical calculations. The study also shows that the control force becomes non-invasive when stabilizing an unstable phase difference for two coupled oscillators.
Article
Optics
Xiaojun Zou, Guangming Wang, Yawei Wang, Binfeng Zong
Summary: A metasurface structure is proposed in this paper to improve the performance of wideband dual-layer coupled patch MIMO antenna arrays. The structure achieves wider operating bandwidth and lower mutual coupling, with potential for efficient decoupling in various array configurations.
Article
Physics, Fluids & Plasmas
Tobias Frohoff-Huelsmann, Jana Wrembel, Uwe Thiele
Summary: The study investigates a generic two-field Cahn-Hilliard model with variational and nonvariational coupling, focusing on the instability of active and passive ternary mixtures. It finds that activity can suppress coarsening dynamics and lead to the emergence of drifting and oscillatory states under nonvariational coupling, emphasizing the relevance of conservation laws and related symmetries for the encountered intricate bifurcation behavior.
Article
Mathematics, Applied
Youngmin Park, Dan D. Wilson
Summary: A general framework for identifying phase-reduced equations for coupled oscillators beyond weak coupling approximations is developed. This framework accurately captures nonlinear bifurcations and is valid for various types of coupling. The proposed formulation is demonstrated to accurately predict behaviors of coupled oscillators in two examples, surpassing the limitations of traditional weak coupling theories.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
(2021)
Article
Robotics
Connor J. Boss, Vaibhav Srivastava
Summary: The study focuses on the recovery of in-flight actuator failure for a hexrotor UAV, using a multiple-model, multiple extended high-gain observer based output feedback control strategy. The proposed method is theoretically analyzed and validated through simulations and experiments.
IEEE ROBOTICS AND AUTOMATION LETTERS
(2021)
Article
Automation & Control Systems
Yaofeng Desmond Zhong, Vaibhav Srivastava, Naomi Ehrich Leonard
Summary: The linear threshold model (LTM) is used to study spread on single-layer networks and the heterogeneous multiplex LTM is used to study spread on multilayer networks. Heterogeneity manages the tension in spreading dynamics between sensitivity to inputs and robustness to disturbances.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2022)
Article
Automation & Control Systems
Piyush Gupta, Shaunak D. Bopardikar, Vaibhav Srivastava
Summary: This article investigates a team composed of different types of agents who work together to service and review a stream of identical tasks. Each agent has an average service time and an average review time associated with their tasks. Agents receive rewards based on their service and review admission rates. The team aims to collaboratively maximize the number of serviced and reviewed tasks. A common-pool resource game is formulated, and utility functions are designed to incentivize collaboration among the heterogeneous agents in a decentralized manner. The existence of a unique pure Nash equilibrium (PNE) is proven, and convergence of the best response dynamics to this unique PNE is established. Finally, an analytic upper bound is established for three inefficiency measures of the PNE, namely the price of anarchy, the ratio of the total review admission rate, and the ratio of latency.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Multidisciplinary Sciences
Andreagiovanni Reina, Thomas Bose, Vaibhav Srivastava, James A. R. Marshall
Summary: It is commonly believed that information cascades occur when early but incorrect opinions spread through a group. However, this study shows that in groups with synchronous decisions, simple models of naive-Bayesian decision-making lead to information cascades; whereas in groups with asynchronous decisions, the early decisions made by Bayesian decision-makers tend to be correct and dominate group consensus dynamics. This challenges the assumption that early decisions contribute to errors and suggests that they actually save the group from making mistakes.
ROYAL SOCIETY OPEN SCIENCE
(2023)
Article
Automation & Control Systems
Nan Li, Kaixiang Zhang, Zhaojian Li, Vaibhav Srivastava, Xiang Yin
Summary: This article proposes a novel cloud-assisted model predictive control (MPC) framework that integrates a cloud MPC and a local MPC for enhanced control performance. The framework addresses model mismatches and communication delays and presents approaches for handling constraints. The efficacy of the framework is demonstrated through multiple simulation examples.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Ethan Lau, Vaibhav Srivastava, Shaunak D. D. Bopardikar
Summary: Safely controlling unknown dynamical systems is a major challenge in control systems. We propose SafeSlope, an algorithm that evaluates points from a Gaussian process model to address this challenge. We provide theoretical guarantees for SafeSlope’s performance and show how multi-fidelity modeling improves the algorithm. We demonstrate the effectiveness of SafeSlope by applying it to find the control gains of a linear time-invariant system and achieving lower cumulative regret than a naive sampling method.
IEEE CONTROL SYSTEMS LETTERS
(2023)
Article
Automation & Control Systems
Urmee Maitra, Ashish R. R. Hota, Vaibhav Srivastava
Summary: This passage discusses a dynamic game setting where a large population needs to decide whether to adopt protective measures against an infectious disease, specifically the susceptible-infected-susceptible (SIS) epidemic. Protection is costly and partially effective, reducing the probability of infection for susceptible individuals and transmission for infected individuals. Unlike previous studies, we model individuals who maximize infinite horizon discounted expected reward. We define best response and stationary Nash equilibrium, characterizing equilibrium policy and state distribution for different parameter ranges. Numerical results show the evolution and convergence of infected proportion and protection adoption policy to equilibrium.
IEEE CONTROL SYSTEMS LETTERS
(2023)
Article
Computer Science, Cybernetics
Zahra Aminzare, Vaibhav Srivastava
Summary: This paper investigates the synchronization behaviors of nonlinear systems in a noisy network, considering the effects of intrinsic and coupling noise. The study explores how a common noise and independent noise can impact network synchronization, and uses numerical simulations with coupled Van der Pol oscillators as an example to illustrate the results.
BIOLOGICAL CYBERNETICS
(2022)
Article
Automation & Control Systems
Lai Wei, Vaibhav Srivastava
Summary: The study focuses on the stochastic Multi-Armed Bandit problem under worst-case regret and heavy-tailed reward distribution. The modified minimax policy MOSS is used to design a new algorithm called Robust MOSS for the sub-Gaussian reward distribution. It is shown that the refined strategy matches the lower bound of worst-case regret while maintaining a distribution-dependent logarithm regret if the moment of order 1 + epsilon for the reward distribution exists.
IEEE CONTROL SYSTEMS LETTERS
(2021)
Proceedings Paper
Automation & Control Systems
Lai Wei, Xiaobo Tan, Vaibhav Srivastava
2020 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS)
(2020)
Article
Mathematics, Applied
Mustaffa Alfatlawi, Vaibhav Srivastava
JOURNAL OF COMPUTATIONAL DYNAMICS
(2020)
Proceedings Paper
Automation & Control Systems
Yasir K. Al-Nadawi, Hothaifa Al-Qassab, Daniel Kent, Su Pang, Vaibhav Srivastava, Hayder Radha
2020 AMERICAN CONTROL CONFERENCE (ACC)
(2020)
Proceedings Paper
Automation & Control Systems
Connor J. Boss, Vaibhav Srivastava, Hassan K. Khalil
2020 AMERICAN CONTROL CONFERENCE (ACC)
(2020)
Proceedings Paper
Automation & Control Systems
Vishal Abhishek, Vaibhav Srivastava
2020 AMERICAN CONTROL CONFERENCE (ACC)
(2020)
Article
Automation & Control Systems
Shaunak D. Bopardikar, Vaibhav Srivastava
IEEE CONTROL SYSTEMS LETTERS
(2020)