INDEX

Adjoint matrix

age-structured population

allocation of resources

analytical solution

first-order linear difference equation

attractor equilibrium value

balancing chemical equations

carbon dating

carrying capacity

chaos

chaotic growth

chaotic system

characteristic polynomial

chemical equation

coefficient matrix

cofactor

cofactor expansion across a row

column matrix

competition model

complex number

imaginary part
imaginary unit i
real part

complex numbers arithmetic

absolute value (modulus)
addition
conjugate
difference
division
product
scalar multiplication

complex plane

imaginary axis
real axis

constant solution

continuous dynamical system

cyclic growth

damped oscillation

delayed logistic population models

delayed nonlinear competing species model

determinant of a square matrix

diagonal entries of a square matrix

difference equation

with constant coefficients
first-order
first-order linear
homogenous
linear
nonhomogeneous first-order linear
nonlinear
order
second-order

dimension of a matrix

discrete dynamical system

distribution vector

dominant eigenvalue

dominant eigenvector

drugs

dynamical system

continuous

discrete

eigenvalues

complex
dominant
multiplicity
repeated real
strictly dominant

eigenvectors

complex
dominant

element of a matrix

elementary row operations

elementary transformation

equal matrices

equilibrium distribution vector

equilibrium solution

stable
unstable

equilibrium value(s)

attractor
repeller
stable
unstable

equivalent matrices

equivalent systems

first-order difference equation

first-order ...

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