EcoStability (Episteme API Documentation)

java.lang.Object

org.episteme.natural.biology.ecology.EcoStability

public final class EcoStability extends Object

Ecological stability analysis using Lyapunov exponents and Jacobian matrices.

Method Summary

Modifier and Type

Method

Description

static Real

estimateLyapunovExponent(List<Real> slopes)

Estimates the Lyapunov exponent for a 1D mapping to check for chaos.

static boolean

isStable(Matrix<Real> jacobian)

Calculates the stability of an equilibrium point using the eigenvalue of the community matrix.

Methods inherited from class Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details
- isStable
  
  public static boolean isStable(Matrix<Real> jacobian)
  
  Calculates the stability of an equilibrium point using the eigenvalue of the community matrix.
  
  Parameters:
  
  jacobian - The community matrix (Jacobian).
  
  Returns:
  
  True if stable (all real parts of eigenvalues are negative).
- estimateLyapunovExponent
  
  public static Real estimateLyapunovExponent(List<Real> slopes)
  
  Estimates the Lyapunov exponent for a 1D mapping to check for chaos. Î» = (1/n) * sum(log|f'(xi)|)