Topics in nonlinear dynamics : applications to physics, biology and economic systems
著者
書誌事項
Topics in nonlinear dynamics : applications to physics, biology and economic systems
World Scientific, c1996
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.
目次
- A deterministic model of die tossing (to discuss stochasticity vs. determinism)
- the forced Duffing's equation (chaos in a simple nonlinear system, bifurcations)
- coupled period-doubling systems
- coupled thermostatically controlled radiators (frequency locking and chaos in technical control systems)
- kidney pressure and flow regulation (period-doubling and chaos in a biological system)
- insulin-glucose metabolism (frequency-locking in experiments on human subjects)
- environmental and microbiological population models (higher order chaos)
- the beer production distribution system (chaos in human decision making behaviour)
- coupled economic sectors (entrainment in the macroeconomic system)
- coupled map lattices (transition to spatially extended systems)
- pattern formation in chemical reaction-diffusion systems (Turing structures).
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