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Related Concept Videos

Control Systems01:10

Control Systems

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Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
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Open and closed-loop control systems01:17

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Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
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Sequence Networks of Rotating Machines01:24

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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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Feedback control systems01:26

Feedback control systems

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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

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The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
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Dynamic Equilibrium02:20

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A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Steering complex networks toward desired dynamics.

Ricardo Gutiérrez1, Massimo Materassi2, Stefano Focardi2

  • 1Complex Systems Interdisciplinary Group (GISC), Department of Mathematics, Universidad Carlos III de Madrid, 28911, Leganés, Madrid, Spain. rigutier@math.uc3m.es.

Scientific Reports
|November 28, 2020
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Summary
This summary is machine-generated.

We developed a novel pinning protocol to control complex network dynamics. This method effectively steers systems towards desired evolutions, with applications in ecological management and conservation.

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Area of Science:

  • Complex systems
  • Network science
  • Dynamical systems theory

Background:

  • Understanding and controlling the behavior of interconnected dynamical units is crucial across scientific disciplines.
  • Network structures significantly influence the emergent dynamics of coupled systems.
  • Existing methods for controlling network dynamics often have limitations regarding local dynamics or interaction types.

Purpose of the Study:

  • To propose and validate a versatile pinning protocol for steering complex network dynamics.
  • To investigate the relationship between network topology and control effectiveness.
  • To demonstrate the application of the pinning protocol in ecological systems.

Main Methods:

  • Development of a pinning protocol applicable to networks with heterogeneous local dynamics and arbitrary coupling structures.
  • Testing the protocol on synthetic networks of chaotic oscillators to analyze node influence.
  • Application of the protocol to a 12-species mammalian food web model.

Main Results:

  • The pinning protocol successfully imposes desired dynamic evolutions on networked systems.
  • A correlation was found between the sequence of pinned nodes and their topological influence in synthetic networks.
  • Control of a trophic web model demonstrated the ability to shift system evolution towards target dynamics or maintain populations within bounds.

Conclusions:

  • The proposed pinning protocol offers a flexible and effective approach for controlling complex network dynamics.
  • Node selection based on topological influence is key for efficient control.
  • The method has significant implications for environmental management and conservation strategies.