Dynamics, Games and Science I

1 A Brief Survey of Focal Decompositon.- 2 Anosov and Circle Diffeomorphisms.- 3 Evolutionarily Stable Strategies and Replicator Dynamics in Asymmetric Two-Population Games.- 4 Poverty Traps, Rationality and Evolution.- 5 Leadership Model.- 6 Lorenz-Like Chaotic Attractors Revised.- 7 A Dynamical Point of View of Quantum Information: Entropy and Pressure.- 8 Generic Hamiltonian Dynamical Systems: An Overview.- 9 Microeconomic Model Based on MAS Framework: Modeling an Adaptive Producer.- 10 Equilibrium in a Tourism Model with Different Types.- 11 Computability and Dynamical Systems.- 12 Dynamics and Biological Thresholds.- 13 Global Convergence in Difference Equations.- 14 Networks Synchronizability, Local Dynamics and Some Graph Invariants.- 15 Continuous Models for Generic Evolution in Large Population.- 16 Forecasting of Yield Curves using Local State Space Reconstruction.- 17 KAM Theory as a Limit of Renormalization.- 18 An Overview of Optimal Life Insurance Purchase, Consumption and Investment Problems.- 19 Towards a Theory of Periodic Difference Equations and it Applications to Population Dynamics.- 20 Thompson's Group, Teichmüller Spaces, and Dual Riemann Surfaces.- 21 A Modified Model of an Edgeworthian Economy.- 22 Fractional Analysis of Traffic Dynamics.- 23 The Set of Planar Orbits of Second Species in the RTBP.- 24 Statistical Properties of the Maximum for Non-Uniformly Hyperbolic Dynamics.- 25 Adaptive Learning and Central Bank Inattentiveness in Optimal Monetary Policy.- 26 Discrete Time, Finite State Space Mean Field Games.- 27 Sample Exclusion Process: from Randomness to Determination.- 28 Universality in PS120 Fluctuations.- 29 Dynamical Systems with Nontrivially Recurrent Invariant Manifolds.- 30 Some Recent Results on the Stability of Endomorphisms.- 31 Differential Rigidity and Applications in One-Dimensional Dynamics.- 32 Minimum Regret Pricing of Contingent Claims in Incomplete Markets.- 33 A Class of Infinite Dimensional ReplicatorDynamics.- 34

About the Editors:

Maurício Peixoto, in1953, together with Leopoldo Nachbin, helped to found IMPA (Instituto Nacional de Matemática Pura e Aplicada), to which has been associated ever since and is a Emeritus Researcher at the present; Peixoto's Theorem.is a key stone in mathematics and its extensions form a central area of research in dynamical systems.

Peixoto introduced the concept of focal decomposition in dynamical systems. Awards and Honors 1969 Moinho Santista Prize for Mathematics and in 1987 received the Third World Academy of Science Award in Mathematics; 1975-1977 President of the Brazilian Mathematical Society; 1979-1980 President of the National Research Council; 1981-1991 President of the Brazilian Academy of Sciences;

David Rand is Professor of Mathematics and is the co-director of the Systems Biology Centre, at University of Warwick. David Rand has made lasting contributions to pure and applied dynamical systems, and also to game theory, economics, theoretical physics, fluid dynamics, ecology and epidemiology, immunology and circadian rhythms. Rand published a dynamical game based on Cournot duopoly and showed that under rather natural conditions this game would have chaotic trajectories. His most recent work is on the interface between mathematics and systems biology. Awards and Honors 1986 Whitehead Prize of the London Mathematical Society. 1988 Wolfson Research Award. 1988 Founding editor of Nonlinearity 2004 Fellow, Institute of Mathematics and Its Applications (by invitation) 2005 Britten Lecturer. McMaster University 2006 EPSRC Senior Research Fellowship Alberto A. Pinto is Professor of Mathematics at University of Porto and, previously, was Professor of Mathematics at University of Minho. Edson de Faria, Welington de Melo and Alberto A. Pinto have developed a theory in the global hyperbolicity of renormalization for smooth unimodal mappings that is published in Annals of Mathematics Alberto A. Pinto, David Randand