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""Just as macroeconomic models describe the overall economy within a changing or dynamic, framework, the models themselves change over time. In this text Stephen J. Turnovsky reviews several early models as well as a representation of more recent models. They include traditional (backward-looking) models, linear rational expectations (future-looking) models, intertemporal optimization models, endogenous growth models, and continuous-time stochastic models. The author uses examples from both closed and open economies."--BOOK JACKET."

"Energy methods in dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton's variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel–Kramers–Brillouin (WKB), and Whitham are derivable from this variational-asymptotic analysis. This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves."

"We analyze the impact of universal banking on the real economy, by comparing the performance of a benchmark linear VAR model with a nonlinear projection process (Jordà, 2005) which tracks shocks asymmetries. We divide bank shocks into two categories—i.e., credit (loans) and fee-based shocks—and show that, based on U.S. data, fee-based shocks seem to have a significant feedback effect on real GDP and on the stock market. Bank fee-based activities are more sensitive to external shocks than traditional business lines (loans) and, more importantly, they are responsible for most of the feedback effects from the banking sector to the real economy and stock markets—especially during crises. Our results also indicate that in normal times, even if nonlinearities are less at play, the feedback effects remain significant, particularly since the 1997 regulatory changes."

"This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations."