5 papers
Analyzing Stability of Equilibrium Points in Neural Networks: A General Approach
Wilson A. Truccolo, Govindan Rangarajan, Yonghong Chen +1
Networks of coupled neural systems represent an important class of models in computational neuroscience. In some applications it is required that equilibrium points in these networ…
Polynomial map symplectic algorithm
Govindan Rangarajan
Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integr…
First passage time problem for biased continuous-time random walks
Govindan Rangarajan, Mingzhou Ding
We study the first passage time (FPT) problem for biased continuous time random walks. Using the recently formulated framework of fractional Fokker-Planck equations, we obtain the…
Dynamics of Individual Specialization and Global Diversification in Communities
Vivek S. Borkar, Sanjay Jain, Govindan Rangarajan
We discuss a model of an economic community consisting of interacting agents. The state of each agent at any time is characterized, in general, by a mixed strategy profile draw…
Collective Behaviour and Diversity in Economic Communities: Some Insights from an Evolutionary Game
Vivek S. Borkar, Sanjay Jain, Govindan Rangarajan
Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level…