Nonlinear dynamical economics and chaotic motion
Springer-Verlag, 1993 - 319 Seiten
The book provides a survey of recent developments in nonlinear economic dynamics. Bifurcation theory and the emergence of chaotic motion in dynamic economic models is presented in a comprehensive and accessible though nevertheless thorough style. The reader can use the book as an introduction to nonlinear economic dynamics and as a reference to more advanced material. The major changes made in the second edition include a re-organization of parts of the text, a deepening of several mathematical concepts, and descriptions of a larger number of economic applications. As in the first edition, special emphasis is put on the didactical presentation of the new material.
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Nonlinearities and Economic Dynamics
Bifurcation Theory and Economic Dynamics
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algorithm assumed assumption bifurcation value calculated catastrophe theory center manifold chaos chaotic dynamics chaotic motion Chapter closed orbits coefficients complex conjugate Consider continuous-time dynamical systems continuous-time systems converges correlation dimension curve depends derivative described determined deterministic differential equation discrete-time dynamical systems discussion dynamic behavior economic dynamics economic examples eigenvalues emergence equilibrium exist Figure flip bifurcation forced oscillator function geometric Goodwin model graph Guckenheimer/Holmes 1983 higher-dimensional homoclinic orbit Hopf bifurcation Hopf bifurcation theorem horseshoe map implies initial points invariant set investigated iterations Jacobian Kaldor model limit cycles linear dynamical systems logistic equation Lyapunov exponents mathematical matrix negative neighborhood nonlinear dynamical nonlinear dynamical systems one-dimensional maps original parameter phase space phenomena Poincare map Poincare-Bendixson theorem possible prediction presented properties qualitative relevant Section stable manifold stochastic strange attractor structurally stable subspaces theorem tion transcritical bifurcation transient two-dimensional unstable variables vector field zero