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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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The biological clock is involved in many aspects of regulating complex physiology in all animals. It was in 1935 when German zoologists, Hans Kalmus and Erwin Bünning, discovered the existence of circadian rhythm in Drosophila melanogaster. However, the internal molecular mechanisms behind the circadian clock remained a mystery until 1984, when Jeffrey C. Hall, Michael Rosbash, and Michael W. Young discovered the expression of the Per gene oscillating over a 24-hour cycle. In subsequent...
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Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
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Pulse rhythm refers to the pattern of pulsations within specific intervals, offering valuable insights into the regularity or irregularity of the heart's beats as observed through the pattern of pulsation within specific intervals. A regular pulse exhibits a consistent heart rate with uniform waveforms and pulsation force, variations of which can be classified as normal, weak, or bounding.
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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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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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Updated: Jul 12, 2025

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Space-dependent intermittent feedback can control birhythmicity.

Debabrata Biswas1, Tapas Mandal1, Partha Sharathi Dutta2

  • 1Department of Physics, Bankura University, Bankura 722155, West Bengal, India.

Chaos (Woodbury, N.Y.)
|October 24, 2023
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Summary

This study introduces a novel space-dependent intermittent control scheme to manage birhythmicity in nonlinear systems. The method proved effective across diverse physical and biological systems, offering a general solution for controlling complex oscillations.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Control Theory

Background:

  • Birhythmicity, characterized by two distinct rhythms, is observed in various physical and biological nonlinear systems.
  • While essential for environmental adaptation in some biological systems, birhythmicity can reduce efficiency in physical systems, necessitating effective control strategies.

Purpose of the Study:

  • To propose and validate a novel space-dependent intermittent control scheme for managing birhythmicity in diverse dynamical systems.
  • To demonstrate the general applicability and efficiency of the proposed control method across different scientific domains.

Main Methods:

  • Development of a space-dependent intermittent control scheme.
  • Application and testing of the scheme on five distinct nonlinear systems.
  • Analytical derivation of control conditions using harmonic decomposition and energy balance in a van der Pol oscillator.
  • Numerical and bifurcation analyses to assess efficacy across a broad parameter space.

Main Results:

  • The proposed control scheme successfully controlled birhythmic oscillations in all five tested nonlinear systems.
  • Analytical conditions for controlling birhythmicity were derived for the van der Pol oscillator.
  • The control scheme demonstrated efficiency and generality in managing complex dynamical behaviors.

Conclusions:

  • The developed space-dependent intermittent control scheme is a general and efficient method for controlling birhythmicity.
  • This approach holds potential for application in a wide range of physical and biological systems exhibiting complex oscillatory dynamics.