Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems
Bertuglia, Cristoforo Sergio
Vaio, Franco
Covering A Broad Range Of Topics And Adopting A Detailed Philosophical Approach To The Subject, This Text Provides A Comprehensive Survey Of The Modelling Of Chaotic Dynamics And Complexity In The Natural And Social Sciences. Pt. 1. Linear And Nonlinear Processes -- Introduction -- Modelling -- The Origins Of System Dynamics: Mechanics -- Linearity In Models -- One Of The Most Basic Natural Systems: The Pendulum -- Linearity As A First, Often Insufficient Approximation -- The Nonlinearity Of Natural Processes: The Case Of The Pendulum -- Dynamical Systems And The Phase Space -- Extension Of The Concepts And Models Used In Physics To Economics -- The Chaotic Pendulum -- Linear Models In Social Processes: The Case Of Two Interacting Populations -- Nonlinear Models In Social Processes: The Model Of Volterra-lotka And Some Of Its Variants In Ecology -- Nonlinear Models In Social Processes: The Volterra-lotka Model Applied To Urban And Regional Science -- Pt. 2. From Nonlinearity To Choas -- Introduction -- Dynamical Systems And Chaos -- Strange And Chaotic Attractors -- Chaos In Real Systems And In Mathematical Models -- Stability In Dynamical Systems -- The Problem Of Measuring Chaos In Real Systems -- Logistic Growth As A Population Development Model -- A Nonlinear Discrete Model: The Logistic Map -- The Logistic Map: Some Results Of Numerical Simulations And An Application -- Chaos In Systems: The Main Concepts -- Pt. 3. Complexity -- Introduction -- Inadequacy Of Reductionism -- Some Aspects Of The Classical Vision Of Science -- From Determinism To Complexity: Self-organization, A New Understanding Of System Dynamics -- What Is Complexity? -- Complexity And Evolution -- Complexity In Economic Processes -- Some Thoughts On The Meaning Of 'doing Mathematics' -- Digression Into The Main Interpretations Of The Foundations Of Mathematics -- The Need For A Mathematics Of (or For) Complexity. Cristoforo Sergio Bertuglia, Franco Vaio. Includes Bibliographical References (p. [356]-374) And Indexes.
Chaotic behavior in systems--Mathematical models, Nonlinear theories--Mathematical models, Dynamics--Mathematical models, Q172.5.C45 B487 2005, 003/.857
Name in long format: | Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems |
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ISBN-10: | 0198567901 |
ISBN-13: | 9780198567905 |
Book pages: | 404 |
Book language: | en |
Edition: | 1 |
Binding: | Hardcover |
Publisher: | Oxford University Press |
Dimensions: | Height: 6.2 Inches, Length: 9.3 Inches, Width: 1 Inches |