Synchronization, Collective Behavior and Spatiotemporal Dynamics in Chemical Systems

在这个由化学系化学结构，动力学和机制计划（CSDM-A）资助的项目中，Kenneth Showalter教授和他的学生正在研究化学系统中的复杂动力学行为，以深入了解人造和生命系统中的新型动力学行为。在实验研究中发展对这种行为的理解有助于发展与某些生物体以及计算机网络等合成动力系统的行为相关的数学模型描述。对同步和集体行为的新状态的研究将提供对生命系统中普遍存在的基本动力学行为的见解。对降水系统中传播波的研究将为依赖于介质结构特征的化学波提供新的机制，这与许多生物系统中发现的波行为非常相似。将在实验室实验和计算模拟中研究耦合化学振荡器网络。最近发现的嵌合态，其中同步和非同步振荡器的种群共存，将进一步研究，重点是在二维阵列的耦合振荡器的螺旋嵌合态。耦合化学振荡器网络中的相位滞后同步的进一步实验研究也将进行与二维振荡器阵列，这将允许各种各样的网络拓扑结构和耦合方案。理论上预测的回声现象将在耦合化学振荡器的人口进行调查。化学振荡器的二维阵列将允许足够大的群体，以允许检测和表征回波行为。新的配置和传播降水波的例子将进行调查。将开发开放式反应器配置，用于研究基于两性氢氧化钠-氯化铝体系的再溶解沉淀带中的传播波。不稳定的螺旋波的行为导致类似于连续性的动力学将被调查，以及波堆叠，其中波碰撞波在他们面前。将进一步发展一个用于传播降水波的通用三维计算模型，并将该模型扩展到描述开放式反应堆配置中的波行为

In this project funded by the Chemical Structure, Dynamics and Mechanisms Program (CSDM-A) of the Chemistry Division, Professor Kenneth Showalter and his students are studying complex dynamical behavior in chemical systems to gain insights into new types of dynamical behavior in man-made and living systems. Developing an understanding of such behavior in experimental studies facilitates the development of mathematical model descriptions that are relevant to the behavior of certain living organisms as well as synthetic dynamical systems such as computer networks. Research on new states of synchronization and collective behavior will provide insights into basic dynamical behaviors pervasive in living systems. Research on propagating waves in precipitation systems will offer new mechanisms for chemical waves that rely on structural features of the medium, much like wave behavior found in many biological systems.Networks of coupled chemical oscillators will be investigated in laboratory experiments and computational simulations. The recently discovered chimera state, in which populations of synchronized and unsynchronized oscillators coexist, will be further investigated, with the focus on the spiral chimera state in two-dimensional arrays of coupled oscillators. Further experimental investigations of phase-lag synchronization in networks of coupled chemical oscillators will also be carried out with two-dimensional oscillator arrays, which will allow a wide variety of network topologies and coupling schemes. Theoretically predicted echo phenomena will be investigated in populations of coupled chemical oscillators. Two-dimensional arrays of chemical oscillators will permit sufficiently large populations to allow the detection and characterization of echo behavior. New configurations and examples of propagating precipitation waves will be investigated. Open-reactor configurations will be developed for studies of propagating waves in redissolution precipitation bands based on the amphoteric sodium hydroxide-aluminum chloride system. Unstable spiral wave behavior leading to turbulence-like dynamics will be investigated as well as wave stacking, where waves collide with the waves ahead of them. Further development of a general three-dimensional computational model for propagating precipitation waves will be carried out as well as extending the model to describe wave behavior in open reactor configurations