Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Plotting and Calibrating the Root Locus

Plotting and Calibrating the Root Locus

Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...

Inclusive Fitness

Inclusive Fitness

Most altruistic behavior—in which one animal helps another at a cost to themselves—occurs between relatives. Scientists think these altruistic behaviors evolved because they increase the inclusive fitness of the animal providing help.

Limits to Natural Selection

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.

Construction of Root Locus

Construction of Root Locus

The construction of a root locus involves several key steps to analyze and visualize the behavior of a system's poles with varying gain. The number of branches in the root locus equals the number of closed-loop poles and is symmetrical about the real axis.
For positive gain values, the root locus exists on the real axis to the left of an odd number of finite open-loop poles or zeros. The root locus starts at the open-loop poles and traces the paths of the closed-loop poles as the gain...

Root Loci for Positive-Feedback Systems

Root Loci for Positive-Feedback Systems

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.
The construction rules for the root locus in positive feedback systems are similar to those in...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Migration costs and rewarding schemes in spatial public goods games.

Physical review. E·2024

Same author

Cooperation on dynamic networks within an uncertain reputation environment.

Scientific reports·2018

Same author

Collaborative hierarchy maintains cooperation in asymmetric games.

Scientific reports·2018

Same author

Infection dynamics on spatial small-world network models.

Physical review. E·2018

Same author

Cooperation Survives and Cheating Pays in a Dynamic Network Structure with Unreliable Reputation.

Scientific reports·2016

Same author

Short-range mobility and the evolution of cooperation: an experimental study.

Scientific reports·2015

Search research articles

Related Experiment Video

Updated: Sep 21, 2025

A Quantitative Fitness Analysis Workflow

A Quantitative Fitness Analysis Workflow

Published on: August 13, 2012

A Local Optima Network View of Real Function Fitness Landscapes.

Marco Tomassini¹

¹Department of Information Systems, University of Lausanne, 1015 Lausanne, Switzerland.

Entropy (Basel, Switzerland)

|May 28, 2022

Summary

The local optima network model extends to continuous functions, mapping their structure using graph theory. This reveals a strong link between function hardness and graph properties, aiding problem difficulty classification and metaheuristic design.

Keywords:

complex networks global optimization local optima networks metaheuristics

More Related Videos

Author Spotlight: An Optimized Automated Method for Investigating Retinoic Acid Receptors in Neuronal Mitochondria

Author Spotlight: An Optimized Automated Method for Investigating Retinoic Acid Receptors in Neuronal Mitochondria

Published on: July 28, 2023

A Protocol for Functional Assessment of Whole-Protein Saturation Mutagenesis Libraries Utilizing High-Throughput Sequencing

A Protocol for Functional Assessment of Whole-Protein Saturation Mutagenesis Libraries Utilizing High-Throughput Sequencing

Published on: July 3, 2016

Related Experiment Videos

Last Updated: Sep 21, 2025

A Quantitative Fitness Analysis Workflow

A Quantitative Fitness Analysis Workflow

Published on: August 13, 2012

Author Spotlight: An Optimized Automated Method for Investigating Retinoic Acid Receptors in Neuronal Mitochondria

Author Spotlight: An Optimized Automated Method for Investigating Retinoic Acid Receptors in Neuronal Mitochondria

Published on: July 28, 2023

A Protocol for Functional Assessment of Whole-Protein Saturation Mutagenesis Libraries Utilizing High-Throughput Sequencing

A Protocol for Functional Assessment of Whole-Protein Saturation Mutagenesis Libraries Utilizing High-Throughput Sequencing

Published on: July 3, 2016

Area of Science:

Computational Mathematics
Complex Systems Science
Optimization Theory

Background:

The local optima network (LON) model is established for combinatorial optimization.
Extending LON to real continuous functions requires new analytical approaches.

Purpose of the Study:

To adapt the local optima network model for continuous function domains.
To analyze the relationship between function properties and graph-based representations.
To explore applications in problem difficulty classification and metaheuristic algorithm design.

Main Methods:

A sampling process to construct a weighted directed graph representing function minima basins.
Application of complex network metrics to analyze the generated graph structure.
Correlation analysis between graph properties and algorithm performance (function hardness).

Main Results:

The LON model successfully captures the structure and interconnections of continuous function minima.
The model offers a more analyzable and visualizable representation of high-dimensional function spaces.
Function hardness demonstrates a significant correlation with specific local optima network graph properties.

Conclusions:

The extended LON model provides valuable insights into continuous function landscapes.
Graph properties of LONs can serve as indicators of problem difficulty.
This framework facilitates the development of improved metaheuristic optimization strategies.