isocline A line joining points on a graph at which combinations of resource levels or population densities produce a similar rate of population growth for a particular species. A Dictionary of Ecology.
What is an isocline in economics?
An isocline is a curve that starts from the origin and passes through the isoquant map of the firm, and along which the marginal rate of technical substitution of input X for input Y, i.e., the numerical slope of the isoquants is constant.
What is isocline method?
Isoclines are often used as a graphical method of solving ordinary differential equations. In an equation of the form y’ = f(x, y), the isoclines are lines in the (x, y) plane obtained by setting f(x, y) equal to a constant.
What is an isocline map?
An isocline in a geophysical map is the line joining all points having the same value of magnetic inclination. More generally, the term indicates, in a cartographic representation, the line that joins all points in which a quantity assumes the same value.
How do you find isocline?
Definition of isocline. An isocline is a set of points in the direction field for which there is a constant c with dy dx = c at these points. Geometrically, the direction field arrows at the points of the isocline all have the same slope. Algebraically, we find the isocline for a constant c by solving f(x, y) = c.
Is expansion path an isocline?
The expansion path is a specialized isocline that connects all points on an isoquant map where the slope of the isoquants is equal to the ratio v1/v2, where v1 and v2 refer to the prices on the inputs.
What is an inferior input?
INTRODUCTION. An “inferior” input is one the demand for which decreases with output, at given prices.
What is short run production function?
The short-run production function defines the relationship between one variable factor (keeping all other factors fixed) and the output. The law of returns to a factor explains such a production function.
What is an isocline in oceanography?
isocline (plural isoclines) (geology) A tightly folded syncline or anticline in which the two sides are almost parallel. (geography, mathematics) A line, curve or function on a graph or map linking points with the same slope or gradient.
What is describing function analysis?
Describing function analysis is a technique for studying the frequency response of nonlinear systems. It is an extension of linear frequency response analysis. In linear systems, transfer functions depend only on the frequency of the input signal.
What is limit cycle in control?
A limit cycle is the stability boundary for linear and non-linear control systems. Hamiltonian mechanics and power flow control are employed to demonstrate this property of limit cycles. The presentation begins with the concept of linear limit cycles which is extended to non-linear limit cycles.
What is a pure time differential equation?
Definition: Pure-Time Differential Equation A pure-time differential equation is a differential equation where the derivative of a function is given as an explicit function of the independent variable (ie. the function itself is only present as a derivative), generally assumed to be time.
How Euler’s method works?
The Euler method is a first-order method, which means that the local error (error per step) is proportional to the square of the step size, and the global error (error at a given time) is proportional to the step size.
What does a phase portrait show?
A phase portrait graph of a dynamical system depicts the system’s trajectories (with arrows) and stable steady states (with dots) and unstable steady states (with circles) in a state space.
