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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Open and closed-loop control systems01:17

Open and closed-loop control systems

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.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal and...
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Feedback control systems

Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
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Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
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Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

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Published on: June 8, 2018

Network structure for control of coupled multiple nonlinear oscillators.

Tetsuro Funato1, Daisuke Kurabayashi

  • 1Department of Mechanical and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan. funato@irs.ctrl.titech.ac.jp

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
|June 19, 2008
PubMed
Summary
This summary is machine-generated.

Researchers developed a novel module using coupled van der Pol oscillators to control behavior through structural effects. This system demonstrates how network structure influences oscillator synchrony and behavior, offering a new design approach.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Systems biology

Background:

  • The morphological effect, influencing functionality from physical actions to internet interactions, is a growing area of research.
  • Understanding the mechanisms behind morphological effects is crucial for developing controllable systems.

Purpose of the Study:

  • To construct a module that utilizes the structural effect for behavior control.
  • To investigate the relationship between network structure and oscillator synchrony.
  • To design a structure-sensitive module using coupled nonuniform van der Pol oscillators.

Main Methods:

  • Coupling nonuniform van der Pol oscillators in a ring-shaped network.
  • Analyzing oscillator synchrony based on number and structural disposition.
  • Introducing an additional connection for transformation within the network.
  • Evaluating the stability of the constructed system.

Main Results:

  • Demonstrated that the synchrony of coupled oscillators can be modulated by structural arrangement.
  • Successfully constructed an oscillator module exhibiting structure-dependent synchrony.
  • Investigated the stability properties of the proposed network.

Conclusions:

  • The study presents a novel method for behavior control using structural effects in coupled oscillators.
  • The developed module offers a design framework for structure-sensitive systems.
  • Findings contribute to the understanding of complex system dynamics and emergent functionalities.