6533b86cfe1ef96bd12c896d

RESEARCH PRODUCT

THE TOPOLOGY OF BASIN BOUNDARIES IN A CLASS OF THREE-DIMENSIONAL DYNAMICAL SYSTEMS

P. E. BeckmannM. Klemm

subject

Class (set theory)Dynamical systems theoryComputingMethodologies_SIMULATIONANDMODELINGApplied MathematicsStructure (category theory)Boundary (topology)ComputerApplications_COMPUTERSINOTHERSYSTEMSStructural basinTopologyModeling and SimulationTopological invariantsIntegration algorithmEngineering (miscellaneous)Physics::Atmospheric and Oceanic PhysicsTopology (chemistry)Mathematics

description

We will develop new methods to determine the topology of the basin boundary in a class of three-dimensional dynamical systems. One approach is to approximate the basin boundary by backward integration. Unfortunately, there are dynamical systems where it is hard to approximate the basin boundary by a numerical backward integration algorithm. We will introduce topological methods which will provide new information about the structure of the basin boundary. The topological invariants which we will use can be numerically computed.

yearjournalcountryeditionlanguage
1996-01-01International Journal of Bifurcation and Chaos
https://doi.org/10.1142/s0218127496001909