The shaping of foreign policy: Vietnamese grand strategy after the Cold War

This study examines the case of Vietnam and uses the method of process tracing to explore the sources of foreign policy choice and change. Foreign policy is derived from grand strategy, which refers to the full package of a state’s domestic and foreign policies. I argue that a state’s grand strategy results from the interaction of four factors—its society’s historical experience, social motivation, international power, and political contest among domestic groups. Grand strategies emerge as a response to perceived shifts in the balance of international economic, political, and military power. However, this is not to say that international pressures and incentives are translated into foreign policy. Rather, pressures and incentives are given meaning by worldviews, which reflect a society’s historical experiences of its place in the international system at traumatic junctures of its encounter with the outside world. Strategic changes in foreign policy follow what I call the “strategic algorithm,” which incorporates four major mechanisms—balancing against threat, bandwagoning with power, learning, and survival by transformation. This case study generates hypotheses for a theory of strategic choice, a theory of foreign policy transformation, and a theory of grand strategy emergence.

Periodicities in the Hodgkin-Huxley model and versions of this model with stochastic input

A field of computational neuroscience develops mathematical models to describe neuronal systems. The aim is to better understand the nervous system. Historically, the integrate-and-fire model, developed by Lapique in 1907, was the first model describing a neuron. In 1952 Hodgkin and Huxley [8] described the so called Hodgkin-Huxley model in the article “A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve”. The Hodgkin-Huxley model is one of the most successful and widely-used biological neuron models. Based on experimental data from the squid giant axon, Hodgkin and Huxley developed their mathematical model as a four-dimensional system of first-order ordinary differential equations. One of these equations characterizes the membrane potential as a process in time, whereas the other three equations depict the opening and closing state of sodium and potassium ion channels. The membrane potential is proportional to the sum of ionic current flowing across the membrane and an externally applied current. For various types of external input the membrane potential behaves differently. This thesis considers the following three types of input: (i) Rinzel and Miller [15] calculated an interval of amplitudes for a constant applied current, where the membrane potential is repetitively spiking; (ii) Aihara, Matsumoto and Ikegaya [1] said that dependent on the amplitude and the frequency of a periodic applied current the membrane potential responds periodically; (iii) Izhikevich [12] stated that brief pulses of positive and negative current with different amplitudes and frequencies can lead to a periodic response of the membrane potential. In chapter 1 the Hodgkin-Huxley model is introduced according to Izhikevich [12]. Besides the definition of the model, several biological and physiological notes are made, and further concepts are described by examples. Moreover, the numerical methods to solve the equations of the Hodgkin-Huxley model are presented which were used for the computer simulations in chapter 2 and chapter 3. In chapter 2 the statements for the three different inputs (i), (ii) and (iii) will be verified, and periodic behavior for the inputs (ii) and (iii) will be investigated. In chapter 3 the inputs are embedded in an Ornstein-Uhlenbeck process to see the influence of noise on the results of chapter 2.