U.S.-Slovak Mathematics Research on Homoclinic Bifurcations in the Presence of an Infinite Dimensional Center Manifold

INT 9603054 北卡罗来纳州AT州立大学的Joseph Gruendler博士和夸美纽斯大学的Michal Feckan博士之间的这一美国-斯洛伐克数学研究项目将以检查具有同宿轨道的微分方程中的混沌为特色。 研究人员打算将他们的合作扩展到有限维和无限维的中心流形方程。 在这样做时，相应的规模的Banach空间技术的Vanderbauwhede将被应用。 有限维动力系统的结果预计将适用于弹性梁的振动。 这个数学项目通过使美国和东欧的专家能够联合收割机互补人才并在共同感兴趣和能力强的领域共享研究资源来实现推进科学知识的计划目标。 ??

INT 9603054 Gruendler This U.S-Slovak mathematics research project between Dr. Joseph Gruendler of North Carolina A&T State University and Dr. Michal Feckan of Comenius University will feature an examination of chaos in differential equations with a homoclinic orbit. Together, the researchers intend to extend their collaboration to work on equations with a center manifold in finite and infinite dimensions. In doing so, the corresponding scales of Banach spaces techniques of Vanderbauwhede will be applied. Results for the finite-dimensional dynamical systems are expected to be applicable to elastic beam vibrations. This mathematics project fulfills the program objectives of advancing scientific knowledge by enabling experts in the United States and Eastern Europe to combine complementary talents and share research resources in areas of strong mutual interest and competence. ??