List of dynamical systems and differential equations topics information
This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations.
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Dynamicalsystems theory is an area of mathematics used to describe the behavior of complex dynamicalsystems, usually by employing differential equations...
topics List of q-analogs Listof real analysis topicsListof variational topics See also Dynamicalsystemsanddifferentialequations section below. Geometry...
for ordinary differentialequations are methods used to find numerical approximations to the solutions of ordinary differentialequations (ODEs). Their...
for partial differentialequations is the branch of numerical analysis that studies the numerical solution of partial differentialequations (PDEs). In...
stochastic differentialequations. Stochastic differentialequations can also be extended to differential manifolds. Stochastic differentialequations originated...
Hypergeometric differentialequation Jimbo–Miwa–Ueno isomonodromy equations Painlevé equations Picard–Fuchs equation to describe the periods of elliptic curves...
most of the good properties of parabolic equations. See the extensive Listof nonlinear partial differentialequations. Euler–Lagrange equation Nonlinear...
qualitative behavior ofdynamicalsystems. Here, the focus is not on finding precise solutions to the equations defining the dynamicalsystem (which is often...
In mathematics, delay differentialequations (DDEs) are a type ofdifferentialequation in which the derivative of the unknown function at a certain time...
Stochastic partial differentialequations (SPDEs) generalize partial differentialequations via random force terms and coefficients, in the same way ordinary...
In mathematics, an ordinary differentialequation is called a Bernoulli differentialequation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...
simultaneous equations in which the unknowns (or the unknown functions in the case ofdifferentialequations) appear as variables of a polynomial of degree...
series method is used to seek a power series solution to certain differentialequations. In general, such a solution assumes a power series with unknown...
geometry Calculus Vector calculus Differential equationsDynamicalsystems Chaos theory Analysis Philosophy of mathematics Category theory Set theory Type...
partial derivatives. A linear differentialequation or a systemof linear equations such that the associated homogeneous equations have constant coefficients...
case of linear differentialequations, this means that there are no constant terms. The solutions of any linear ordinary differentialequationof any order...
property of certain dynamicalsystems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamicalsystem with...
exact differentialequation or total differentialequation is a certain kind of ordinary differentialequation which is widely used in physics and engineering...
An inexact differentialequation is a differentialequationof the form (see also: inexact differential) M ( x , y ) d x + N ( x , y ) d y = 0 , where ...