Search or ask a question

How was the Kuramoto model developed?

Fast Fourier transform

Synchronization networks

Coupling (piping)

Best insight from top research papers

The Kuramoto model was initially developed to explain the synchronization of oscillators inspired by natural synchronization phenomena . Over time, this model has been extended and applied in various scientific and engineering fields, showcasing its versatility and broad utility . Recent advancements have seen the model evolve to replace single-phase oscillators with particles having internal phases, represented as points on a unit D-sphere, enhancing the model's representation and numerical integration methods . These developments have allowed for more accurate simulations and analyses of synchronization dynamics in complex systems, contributing to a deeper understanding of synchronization phenomena in diverse contexts.

Answers from top 5 papers

PDF

Open Access

More filters

Papers (5)	Insight
Open access•Posted Content•DOI On the numerical integration of the multidimensional Kuramoto model Tim van Kempen 09 Jun 2023	The Kuramoto model was extended to include particles with multiple internal phases represented by unit vectors, ensuring norm preservation through small rotations during integration steps.
On the numerical integration of the multidimensional Kuramoto model 09 Jun 2023 1 Citations	The Kuramoto model was extended to include particles with multiple internal phases represented by unit vectors, ensuring exact norm preservation through small rotations during integration.
Open access•Posted Content•DOI Simulating the phase behavior of the Kuramoto tree 24 Jun 2023	The Kuramoto model was developed as a mathematical framework to explain interactions among phase oscillators, showcasing transitions between synchronization, wave state, and chaos in networks.
Open access•Journal Article•DOI A modification to the Kuramoto model to simulate epileptic seizures as synchronization José Alfredo Zavaleta-Viveros, Porfirio Toledo, Martha Lorena Avendaño-Garrido, J. E. Escalante-Martínez, Maria-Leonor Lopez-Meraz, Karen Paola Ramos-Riera - Show less +5 more 17 Jun 2023-Journal of Mathematical Biology	The Kuramoto model was developed to describe oscillator coupling for synchronization phenomena, later modified to simulate epileptic seizures by replacing constant coupling with logistic growth function.
Simulating the phase behavior of the Kuramoto tree mohammad Nouhi, Javad Noorbakhsh - Show less +1 more 24 Jun 2023	The Kuramoto model was applied to a Y-shaped network to simulate phase behavior, revealing synchronization, wave state, and chaos transitions based on node numbers and coupling strengths.

My columns

Related Questions

What is the hexacoco model?4 answersThe term "hexacoco model" does not have a direct association with any specific concept or model in the provided research contexts. However, the contexts discuss various aspects related to cobalt compounds, including their electronic structures, redox potentials, magnetic properties, and synthesis methods. These contexts cover topics such as the electronic state in layered cobalt oxides, the thermodynamics and kinetics of cobalt redox couples, the synthesis of cobalt-containing compounds with unique magnetic properties, and the magnetic studies of a wheel-like hexadecanuclear cobalt phosphonate. While the contexts provide valuable insights into different aspects of cobalt compounds, there is no specific mention of a "hexacoco model" in the provided data.

What is japanese model corporate governance?5 answersThe Japanese model of corporate governance has undergone significant transformations over the past few decades. Initially following a country-specific governance model, Japan has adapted its corporate structure to address issues such as ineffective board monitoring and managerial failures. Historically rooted in practices like "lifelong employment," cross-shareholdings, and key supplier relationships, Japan's corporate forms have diversified away from German law influences, emphasizing gradual changes around corporate boards. Recent reforms in Japan reflect a shift towards a new system of shareholder capitalism, contrasting with the US's Wall Street-oriented approach guided by agency theory, which has faced criticism for incentivizing short-sighted managerial actions detrimental to long-term firm well-being. Game theory models in corporate governance highlight the impact of factors like supervision costs, irregularities punishment, and manager violation checks on governance behavior and social welfare outcomes.

What is Application of Kano Model in Product Design?4 answersThe Kano Model is a research approach used to analyze and categorize product qualities. It helps in understanding the relationship between quality fulfillment and customer satisfaction. The model identifies different types of attributes, such as must-be, attractive, one-dimensional, and indifferent, which influence customer satisfaction. By using the Kano Model, designers can prioritize and refine product attributes to meet customer needs and increase satisfaction. The model has been applied in various contexts, including the design of cultural creative products, the analysis of survey results, the identification of optimum values for product specifications, and the evaluation of user needs for mindfulness-based stress reduction products. It has also been integrated with the ideal ratio to select and prioritize the design of new products. The application of the Kano Model in product design helps designers understand customer expectations and improve the chances of product success in the market.

What is the definition of Boruta model?5 answersThe Boruta model is not mentioned in any of the provided abstracts.

How to develop a model?5 answersDeveloping a model involves several steps. First, clear agreement on the purpose and context of the model is necessary, involving both the modelers and stakeholders. Once the purpose is established, conceptual models can be developed to guide the choice of model features and families. Performance criteria should be developed, tailored to the model's purpose, context, and structure. After constructing the model, it must be calibrated, uncertainty quantified, tested, and evaluated for effectiveness. Throughout the process, it may be necessary to revisit and revise earlier steps as new information becomes available. In summary, the model development process involves iterative refinement of purpose and objectives, conceptual model development, performance criteria development, model construction, and calibration, uncertainty quantification, testing, and evaluation.

Is the tanaka mura model applicable to aluminium?5 answersThe Tanaka-Mura model has been applied to various materials, including metals and alloys. It has been modified to include factors such as microstructure, surface roughness, and elastic modulus to predict fatigue curves for different materials. The model has also been used to predict fatigue crack nucleation life for metals and alloys without resorting to experiments. Additionally, the model has been extended to predict the elastic behavior of porous materials, showing good agreement with experimental data for a porous CuAlMn shape memory alloy. Furthermore, the Tanaka model has been coupled with the Chaboche model to estimate stress response under non-proportional cyclic loading, improving the performance of the Chaboche model. Therefore, based on the available information, it can be inferred that the Tanaka-Mura model is applicable to a wide range of materials, including aluminum.

See what other people are reading

Can non-thermal plasma be used as a sustainable and eco-friendly alternative to traditional plant growth methods?

Non-thermal plasma shows promise as a sustainable and eco-friendly alternative for plant growth enhancement. Research indicates that non-thermal plasma treatments can positively impact plant growth parameters by activating defense pathways in seeds. Additionally, plasma technology offers solutions for environmental and health challenges, including improving crop yield and food security. Cold plasma, in particular, can influence the production of organic bio-stimulants, potentially offering a modern alternative to conventional agriculture by stimulating crop growth and eliminating threats to the environment. Despite challenges like standardization issues, non-thermal plasma's applications in agriculture, waste management, and material modification demonstrate its potential to revolutionize traditional plant growth methods in a sustainable and environmentally friendly manner.What is interoceptive processing?

Interoceptive processing involves the physiological and cognitive mechanisms responsible for sensing, interpreting, and integrating internal bodily signals. It goes beyond just visceral signals, encompassing perceptions of bodily states that contribute to constructing a subjective experience. Interoception plays a crucial role in cognition, emotion, and maintaining homeostasis by allowing individuals to respond adaptively to internal and external changes. Research focuses on interventions targeting interoceptive channels like respiration and cardioception to understand the underlying psychophysiology and its implications for mental disorders. Additionally, the development of interoceptive processing in infants is influenced by early dyadic interactions, particularly during feeding interactions, shaping their ability to distinguish between self and other internal sensations. Understanding interoceptive processing is essential for assessing emotional experiences, consciousness, and decision-making.What is the connection between c-oryzanol and cholesterol?

γ-oryzanol, a compound found in rice bran, has been extensively studied for its beneficial effects on cholesterol levels. Research indicates that γ-oryzanol contributes to lowering cholesterol through various mechanisms. It has been shown to form stable liquid crystalline phases with cholesterol, affecting its solubility and potentially impacting absorption in the gastrointestinal tract. Additionally, γ-oryzanol has been associated with ameliorating insulin activity, cholesterol metabolism, and chronic inflammation, all of which are crucial factors in managing cholesterol levels. Furthermore, studies have demonstrated that γ-oryzanol can modulate genes involved in prostate cancer, a condition linked to cholesterol dysregulation. Overall, γ-oryzanol's multifaceted properties make it a promising compound for cholesterol management and related health conditions.Is rusty associated with LGBTQIA people?

Rust, particularly in the context of a garden at Dungeness, as portrayed by Derek Jarman, can be associated with LGBTQIA individuals. The garden, haunted by various elements including the containment building of nuclear fission, symbolizes a constructive relationship with the environment, challenging negative queer stereotypes. Additionally, LGBTQ individuals, particularly in Pentecostal congregations, are redefining their identities within religious settings, seeking acceptance and normalcy. Furthermore, there is a lack of LGBTQ-specific training in radiation oncology residency programs, highlighting the underserved nature of this community in healthcare settings. These instances showcase how LGBTQIA individuals navigate various spaces and contexts, including nature, religion, and healthcare, reflecting the diverse experiences and challenges they encounter.What are the different scope between combustion, gas-phase, plasma synthesis ?

Combustion, gas-phase, and plasma synthesis represent distinct methodologies in the production of materials, each with its unique mechanisms and applications. Combustion synthesis involves exothermic reactions between reactants to produce high-temperature materials, often leveraging self-propagating high-temperature synthesis (SHS) for the efficient creation of ceramics and intermetallic compounds. This method is particularly noted for its application in creating nonoxide refractory solids and advanced ceramics, highlighting the challenge of controlling powder particle size and microstructure during synthesis. Gas-phase synthesis, on the other hand, is characterized by reactions occurring within a gaseous medium, often within a sealed reactor using a heat source such as a DC plasma arc. This technique is utilized for synthesizing nanomaterials, such as high-purity nanometer-level titanium carbide (TiC) powder, by controlling the reactor's temperature and the reactants' flow. The process emphasizes the importance of quenching and fine-tuning the reaction conditions to achieve desired material properties. Plasma synthesis, distinct from the other two, employs plasma—a state of matter consisting of ionized gases—to facilitate chemical reactions. This method is advantageous for synthesizing silicon nanoparticles (Si-NPs) due to the unique control over particle morphology and chemistry that plasma environments offer. Plasma synthesis is versatile, supporting the creation of materials for solar cells, lithium-ion batteries, and even for applications in water splitting and thermoelectrics. The technique benefits from the ability of plasma to provide high electron temperature and density, enabling selective chemical processes that are crucial for material synthesis. Each synthesis method has its scope and applications, from combustion synthesis's utility in creating advanced ceramics and refractories, gas-phase synthesis's role in producing nanomaterials with controlled properties, to plasma synthesis's versatility in fabricating nanoparticles for technological applications. The choice of method depends on the specific material properties desired and the application at hand.Is ther other theory related to exploitation-exploiration balance rather than ambidexterity?

While ambidexterity is a well-known theory related to balancing exploitation and exploration, another theory called "proportional balance" has been proposed in the context of IT resources management. This theory suggests that firms do not necessarily need to maintain a perfect balance between exploitation and exploration but should instead focus on achieving a proportional balance based on their resource allocation for optimal organizational agility. Additionally, a study in the field of multi-agent learning introduces a smooth analogue of Q-learning to analyze exploration-exploitation dynamics, highlighting the importance of balancing game-rewards and exploration-costs for system performance. These theories offer alternative perspectives on how firms can effectively manage the trade-off between exploitation and exploration beyond traditional ambidexterity concepts.What is the Prevalence rates of Severe Acute Malnutrition among children in South Africa?

The prevalence rates of Severe Acute Malnutrition (SAM) among children in South Africa vary across different studies. In a study conducted in the Western Cape, it was found that 33% of children admitted with SAM had foreign-born parents, highlighting the vulnerability of this group with a significantly higher in-hospital mortality rate compared to children of South African parents. Another study in Johannesburg reported an 8.7% incidence of Refeeding Syndrome (RFS) in children with SAM, with specific biochemical abnormalities and clinical signs associated with RFS development. Additionally, a study in the Tshwane district found that only a third of children with SAM had normal anthropometry at hospital discharge, with a quarter still experiencing SAM, and a SAM incidence rate of 20 per 1000 person-months at three months post-discharge.What are the link between "the axiety in system" and "the situational awareness" ?

Situational awareness plays a crucial role in various systems, including healthcare, disaster response, and energy systems. In the context of anxiety within a system, understanding situational awareness becomes essential. For instance, in healthcare, monitoring patients through wearable sensors to detect emergencies enhances situational awareness. Similarly, in disaster response, successful multi-agency coordination relies on distributed situation awareness to optimize emergency response systems. Moreover, in energy systems, the coupling relationships among subsystems pose challenges to situation awareness, requiring innovative detection methods for effective system operation. Therefore, enhancing situational awareness within systems can help mitigate anxiety by providing a comprehensive understanding of the environment and facilitating proactive responses to potential threats or emergencies.What is the effect of lone pair electrons on chemical properties?

The presence of lone pair electrons significantly influences the chemical properties of materials. Lone pairs play a crucial role in structural transitions and electronic properties. They contribute to creating conditions favorable for ion transport, forming local dipoles, and inducing polar behavior in various materials. Additionally, the stereochemical activity of lone pairs affects the optical responses and nonlinear optical performance of materials, surpassing traditional organic molecules in some cases. Pressure-induced tuning of lone pair behavior can lead to anisotropic structural transitions and modulate optoelectronic properties, showcasing the dynamic role of lone pairs in material optimization. Overall, the presence and behavior of lone pair electrons are crucial in understanding and manipulating the chemical properties of diverse materials.How does genetic redundancy contribute to polygenic adaptation in Drosophila?

Genetic redundancy plays a crucial role in polygenic adaptation in Drosophila by facilitating the exploration of multiple genetic pathways to achieve phenotypic convergence. Experimental evolution studies with Drosophila populations exposed to new environments have revealed a polygenic architecture of adaptive traits with high genetic redundancy among beneficial alleles. This redundancy allows for the selection of multiple alternative genetic pathways, leading to convergent phenotypic responses such as fitness, metabolic rate, and fat content. Despite the presence of numerous selected alleles, each allele increases in frequency only in specific evolving replicates, highlighting the complexity and diversity of genetic responses in polygenic adaptation. The observed genetic redundancy underscores the importance of considering multiple genetic pathways in understanding and predicting evolutionary responses in Drosophila populations.What is independent component analysis in wastewater?

Independent Component Analysis (ICA) is a method crucial in wastewater treatment processes for fault detection and diagnosis. ICA aims to decompose multivariate data into statistically independent components without losing information. In the context of wastewater treatment, Dynamic Independent Component Analysis (DICA) and Complex-Valued Slow Independent Component Analysis (CSICA) are proposed methods that utilize ICA to extract essential independent components related to incipient faults and complex behaviors. DICA applies ICA to time-lagged variables for fault detection, while CSICA extracts slow independent components capturing dynamic and non-Gaussian information for effective process monitoring. These ICA-based approaches enhance fault detection accuracy in wastewater treatment plants, outperforming conventional methods like Partial Least Squares (PLS) and Artificial Neural Networks (ANN).