Sensitive dependence on initial conditions is a major characteristic of chaotic systems. This article provides an introduction to the concept of Lyapunov exponents, which characterize the behavior of a dynamic process by measuring its degree of sensitive dependence. If the largest Lyapunov exponent is positive, the system is called chaotic. Provided that an economic model can be expressed explicitly as a system of difference equations, numerical calculation of the largest Lyapunov exponent is possible. However, the dynamic specification is often unknown. In these cases, the largest Lyapunov exponent may be estimated from time series data
The operationai significance of the Lyapunov exponent and the correlation dimension for the measurem...
The behaviors of the real exchange rate corresponding to capital mobility within an open-economy mac...
This chapter deals with chaotic systems. Based on the characterization of deterministic chaos, unive...
Sensitive dependence on initial conditions is a major characteristic of chaotic systems. This articl...
. Direct estimation of the largest Lyapunov exponent as a measure of exponential divergence of nearb...
Abstract: In this paper we study the meaning and importance of Lyapunov exponents through methods of...
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynam...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Detecting the presence of chaos in a dynamical system is an important problem that is solved by meas...
AbstractSensitive dependence on initial conditions is widely understood as being the central idea of...
For want of a nail the shoe was lost. For want of a shoe the horse was lost. For want of a horse the...
We discuss abilities of quantifying low-dimensional chaotic oscillations at the input of two thresho...
The operationai significance of the Lyapunov exponent and the correlation dimension for the measurem...
The behaviors of the real exchange rate corresponding to capital mobility within an open-economy mac...
This chapter deals with chaotic systems. Based on the characterization of deterministic chaos, unive...
Sensitive dependence on initial conditions is a major characteristic of chaotic systems. This articl...
. Direct estimation of the largest Lyapunov exponent as a measure of exponential divergence of nearb...
Abstract: In this paper we study the meaning and importance of Lyapunov exponents through methods of...
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynam...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
In this chapter, we first precise the concept of dynamical systems, and then we introduce the concep...
In this article, we consider chaotic behavior happened in nonsmooth dynamical systems. To quantify s...
The Lyapunov exponents serve as numerical characteristics of dynamical systems, which measure possib...
Detecting the presence of chaos in a dynamical system is an important problem that is solved by meas...
AbstractSensitive dependence on initial conditions is widely understood as being the central idea of...
For want of a nail the shoe was lost. For want of a shoe the horse was lost. For want of a horse the...
We discuss abilities of quantifying low-dimensional chaotic oscillations at the input of two thresho...
The operationai significance of the Lyapunov exponent and the correlation dimension for the measurem...
The behaviors of the real exchange rate corresponding to capital mobility within an open-economy mac...
This chapter deals with chaotic systems. Based on the characterization of deterministic chaos, unive...