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The Duffing equation (or Duffing oscillator), named after Georg Duffing (1861–1944), is a non-linear second-order differential equation used to model...

Toda equation", Jahresbericht der Deutschen Mathematiker-Vereinigung, 103 (4): 149–162, MR 1879178 Weisstein, Eric W. "Duffing Differential Equation". mathworld...

In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function...

method of multiple-scale analysis, consider the undamped and unforced Duffing equation: d 2 y d t 2 + y + ε y 3 = 0 , {\displaystyle {\frac {d^{2}y}{dt^{2}}}+y+\varepsilon...

in Chapter 10 of Nonlinear Differential Equations and Dynamical Systems by Verhulst. The undamped, unforced Duffing equation is given by x ¨ + x + ε x...

set to a = 2.75 and b = 0.2 to produce chaotic behaviour. It is a discrete version of the Duffing equation. Duffing oscillator on Scholarpedia v t e...

a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy...

plot of 9 scroll modified Chua chaotic attractor PWL Duffing chaotic attractor xy plot PWL Duffing chaotic attractor plot modified Lorenz attractor Rabinovich...

quantitative relationships in science and mathematics are expressed as algebraic equations. In mathematics, a basic algebraic operation is any one of the common...

and continuous time models to the frequency domain and vice versa. Duffing equation Wave turbulence Kartashova, E. (2010), Nonlinear Resonance Analysis...

This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...

dynamics Chua's circuit Cliodynamics Coupled map lattice Double pendulum Duffing equation Dynamical billiards Economic bubble Gaspard-Rice system Hénon map Horseshoe...

Fatiha Alabau (born 1961), French expert in control of partial differential equations, president of French applied mathematics society Mara Alagic, Serbian...

spatial derivatives. See also: Numerical ordinary differential equations. Partial differential equations – continuous time, continuous state space, spatial...

Francis Denton Duff FRSC (July 29, 1926 – March 2, 2001) was a Canadian mathematician who did research in partial differential equations and wave phenomena...

of the underlying physics and often arise from integrating some differential equation. Dimensional analysis itself has little to say about these constants...

four decades, including Hamiltonian dynamical systems and partial differential equations. Moser's mother Ilse Strehlke was a niece of the violinist and composer...

of an elastic pendulum is governed by a set of coupled ordinary differential equations.This behavior suggests a complex interplay between energy states...

Daniel Friedan showed that the equations of motions of string theory, which are generalizations of the Einstein equations of general relativity, emerge...

relation is specified by the Einstein field equations, a system of second order partial differential equations. Newton's law of universal gravitation, which...