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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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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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Updated: Apr 17, 2026

Integrating Remote Sensing with Species Distribution Models; Mapping Tamarisk Invasions Using the Software for Assisted Habitat Modeling SAHM
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Reversing desertification as a spatial resonance problem.

Yair Mau1, Lev Haim2, Ehud Meron3

  • 1Department of Physics, Ben-Gurion University of the Negev, Beer Sheva, 84105, Israel and Department of Civil and Environmental Engineering, Duke University, Durham, North Carolina 27708, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 14, 2015
PubMed
Summary
This summary is machine-generated.

Restoring desertified ecosystems requires careful landscape modulation. Partial vegetation implantation offers greater resilience to rainfall variability than complete implantation, ensuring productive vegetation restoration.

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Area of Science:

  • Environmental science
  • Ecology
  • Pattern formation

Background:

  • Desertification is a major environmental challenge in water-limited ecosystems.
  • Vegetation restoration often employs landscape modulations to capture water.
  • Existing methods may lack resilience to environmental variability.

Purpose of the Study:

  • To investigate the resilience of vegetation restoration patterns to rainfall variability.
  • To compare different strategies for spatial pattern control in ecological restoration.
  • To identify optimal methods for reversing desertification.

Main Methods:

  • Utilizing a realistic vegetation model and a simplified pattern formation model.
  • Analyzing the system as a spatial resonance problem.
  • Investigating the role of inherent spatial modes and partial vegetation implantation.

Main Results:

  • Simple landscape modulations with complete vegetation response show poor resilience to rainfall variability.
  • Less intuitive approaches using inherent spatial modes and partial implantation are highly resilient.
  • Both methods can achieve comparable productivity.

Conclusions:

  • Partial vegetation implantation is a more resilient strategy for desertification reversal.
  • Spatial resonance principles can guide ecological restoration in variable conditions.
  • Findings are applicable to various spatially forced systems near instability points.