Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology.
The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008.
The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.
Author(s): D. A. Rand (auth.), Mauricio Matos Peixoto, Alberto Adrego Pinto, David A. Rand (eds.)
Series: Springer Proceedings in Mathematics 2
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 736
Tags: Dynamical Systems and Ergodic Theory;Game Theory, Economics, Social and Behav. Sciences;Theoretical, Mathematical and Computational Physics;Mathematical Methods in Physics
Front Matter....Pages i-xxx
Network Control Analysis for Time-Dependent Dynamical States....Pages 1-24
Renormalization and Focal Decomposition....Pages 25-40
Micro-Foundations of the Social Change....Pages 41-54
Singularities, Walrasian Economies and Economic Crisis....Pages 55-77
Probabilistic Methods in Dynamical Analysis: Populations Growths Associated to Models Beta(p, q) with Allee Effect....Pages 79-95
Power Indices Applied to Portuguese Parliament....Pages 97-105
A Methodological Contribution in the Theory of the Firm Under Uncertainty....Pages 107-113
Explosion of Smoothness for Conjugacies Between Unimodal Maps....Pages 115-119
Multidimensional Rovella-Like Attractors....Pages 121-124
Robust Heteroclinic Behaviour, Synchronization, and Ratcheting of Coupled Oscillators....Pages 125-140
An Economical Model For Dumping by Dumping in a Cournot Model....Pages 141-153
Fractional Control of Dynamic Systems....Pages 155-159
A Dynamical Point of View of Quantum Information: Discrete Wigner Measures....Pages 161-185
Dynamics on Spectral Solutions of Forced Burgers Equation....Pages 187-190
Area-Preserving Diffeomorphisms from the C 1 Standpoint....Pages 191-222
A Theoretical, Multidisciplinary View of Catastrophic Regime Change....Pages 223-236
General Relativistic Elasticity: Statics and Dynamics of Spherically Symmetric Metrics....Pages 237-241
Post-Inflationary Scalar Field Phase Dynamics....Pages 243-246
An Application of the SIR Model to the Evolution of Epidemics in Portugal....Pages 247-250
Poissonian Tree Constructed from Independent Poisson Point Processes....Pages 251-255
Hamiltonian Systems on Polyhedra....Pages 257-274
Bankruptcy Boundaries Determined by Patents....Pages 275-300
Computation of Genus and Braid Index for Renormalizable Lorenz Links....Pages 301-315
Statistical Stability for Equilibrium States....Pages 317-321
Dynamic Games of Network Effects....Pages 323-342
Exit Times and Persistence of Solitons for a Stochastic Korteweg–de Vries Equation....Pages 343-347
Optimization Approach to a Simulation Algorithm of a Mixer-Settler System in the Transient State....Pages 349-359
Duality Theory, Representation Formulas and Uniqueness Results for Viscosity Solutions of Hamilton–Jacobi Equations....Pages 361-386
Microscopic Dynamics for the Porous Medium Equation....Pages 387-392
A Stochastic Model for Wolf’s Sunspot Number....Pages 393-401
On Topological Classification of Morse–Smale Diffeomorphisms....Pages 403-427
Isentropic Dynamics and Control in an Economic Model for Capital Accumulation....Pages 429-448
Hydrodynamic Limit of the Exclusion Process in Inhomogeneous Media....Pages 449-465
Application of Fractional Order Concepts in the Study of Electrical Potential....Pages 467-470
Economics of Bioenergy Crops for Electricity Generation: Implications for Land Use and Greenhouse Gases....Pages 471-501
An H-Theorem for Chemically Reacting Gases....Pages 503-506
Dynamics, Systems, Dynamical Systems and Interaction Graphs....Pages 507-541
The Dynamics of Scalar Fields in Cosmology....Pages 543-547
The Dynamics of the Nash Map for 2 By 2 Games....Pages 549-565
Resort Pricing and Bankruptcy....Pages 567-573
On the Hannay–Ozorio De Almeida Sum Formula....Pages 575-590
A Fourier Transform Method for Relaxation of Kinetic Equations....Pages 591-598
Bethe Ansatz Solution of the Finite Bernoulli Matching Model of Sequence Alignment....Pages 599-606
Fitness Function Evaluation Through Fractional Algorithms....Pages 607-610
An Exponential Observer for Systems on SE(3) with Implicit Outputs....Pages 611-633
Stability of Polydeuces Orbit....Pages 635-638
Peixoto Classification of 2-Dim Flows Revisited....Pages 639-645
Fractional Control of Legged Robots....Pages 647-650
Evolutionary Dynamics of the Spatial Prisoner’s Dilemma with Single and Multi-Behaviors: A Multi-Agent Application....Pages 651-688
Euclidean Jordan Algebras and Strongly Regular Graphs....Pages 689-701
Parameter Estimation in Stochastic Differential Equations....Pages 703-733
Stochastic Saddle Paths and Economic Theory....Pages 735-752
