Complexity and state-transitions in social dependence networks.
Conservation laws and symmetry in economic growth models: a geometrical approach.
The aim of the present paper is twofold. On one hand, we present a classification of infinitesimal symmetries for Lagrangian systems, and the corresponding Noether theorems. The derivation of the result is made by using the symplectic techniques. Some of the results were previously obtained by other authors (see Prince (1985) for instance), and an exhaustive presentation can be found in de León and Martín de Diego (1995, 1996). Let us note that these results are true even if the Lagrangian function...
Convergence of nonautonomous evolutionary algorithm.
Coupled flare attractors -- a discrete prototype for economic modelling.
Coupled flare attractors -- a discrete prototype for economic modelling.
Critical bifurcation surfaces of 3D discrete dynamics.
Decision Making in Reverse Logistics Using System Dynamics
Discrete dynamics in transitional economies.
Distributed accelerated Nash equilibrium learning for two-subnetwork zero-sum game with bilinear coupling
This paper proposes a distributed accelerated first-order continuous-time algorithm for convergence to Nash equilibria in a class of two-subnetwork zero-sum games with bilinear couplings. First-order methods, which only use subgradients of functions, are frequently used in distributed/parallel algorithms for solving large-scale and big-data problems due to their simple structures. However, in the worst cases, first-order methods for two-subnetwork zero-sum games often have an asymptotic or convergence....
Distributed event-triggered algorithm for optimal resource allocation of multi-agent systems
This paper is concerned with solving the distributed resource allocation optimization problem by multi-agent systems over undirected graphs. The optimization objective function is a sum of local cost functions associated to individual agents, and the optimization variable satisfies a global network resource constraint. The local cost function and the network resource are the private data for each agent, which are not shared with others. A novel gradient-based continuous-time algorithm is proposed...
Dynamic traffic network equilibrium system.
Ergodic cobweb chaos.
Exploring the fractal parameters of urban growth and form with wave-spectrum analysis.
Global Hopf bifurcation analysis for a time-delayed model of asset prices.
Heterogeneous traders, price-volume signals, and complex asset price dynamics.
Hopf bifurcation in the IS-LM business cycle model with time delay.
Hysteresis nonlinearity identification using new Preisach model-based artificial neural network approach.
Impulsivity in binary choices and the emergence of periodicity.
Inverse Limits, Economics, and Backward Dynamics.
We survey recent papers on the problem of backward dynamics in economics, providing along the way a glimpse at the economics perspective, a discussion of the economic models and mathematical tools involved, and a list of applicable literature in both mathematics and economics.
Logistic population change and the Mankiw-Romer-Weil model.