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Nonlinear dynamics, mathematical biology, and social science

By: Epstein, Joshua M.
Series: Santa Fe Institute studies in the sciences of complexity. Lecture notes ; v. 4.Publisher: 1997 CRC Press, Boca RatonDescription: xi, 164 p. ; ill. 23 cm.ISBN: 9780367474683.Subject(s): Biological systems | Mathematical models | Nichtlineares System | Globocop | HopfBifurcation Theorem | Index theory | Limit cycle | Lyapunov functions | Mathematical Biology | Poincare -Hopt index theorem | Santa Fe Institute | Susceptible | Trajectory | Vector fieldDDC classification: 300.5118 Summary: These lectures develop simple models of complex social processes using nonlinear dynamics and mathematical biology. Dynamical analogies between seemingly disparate social and biological phenomena - revolutions and epidemics, arms races, and ecosystem dynamics - are revealed and exploited. Nonlinear Dynamics, Mathematical Biology, and Social Science invites social scientists to relax - in some cases abandon - the predominant assumption of perfectly informed utility maximization and explore social dynamics from such perspectives as epidemiology and predator-prey theory. The volume includes a concentrated course on nonlinear dynamical systems.
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Books 300.5118 EPS (Browse shelf) Available 033860

Includes bibliographical references and index.

These lectures develop simple models of complex social processes using nonlinear dynamics and mathematical biology. Dynamical analogies between seemingly disparate social and biological phenomena - revolutions and epidemics, arms races, and ecosystem dynamics - are revealed and exploited. Nonlinear Dynamics, Mathematical Biology, and Social Science invites social scientists to relax - in some cases abandon - the predominant assumption of perfectly informed utility maximization and explore social dynamics from such perspectives as epidemiology and predator-prey theory. The volume includes a concentrated course on nonlinear dynamical systems.

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