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DY: Fachverband Dynamik und Statistische Physik

DY 2: Quantum Chaos

DY 2.3: Talk

Tuesday, September 28, 2021, 10:45–11:00, H6

Geometry of complex instability in four-dimensional symplectic maps — •Jonas Stöber and Arnd Bäcker — TU Dresden, Institut für Theoretische Physik

In four-dimensional symplectic maps complex instability of periodic orbits is possible, which cannot occur for the two-dimensional case. We investigate the transition from stable to complex unstable dynamics of a fixed point under parameter variation. The change in the geometry of regular structures is visualized using three-dimensional phase-space slices and in frequency space using the example of two coupled standard maps. The chaotic dynamics is studied using escape time plots and two-dimensional invariant manifolds associated with the complex unstable fixed point. Based on a normal-form description, we investigate the underlying transport mechanism by visualizing the escape paths and the long-time confinement in the surrounding of the complex unstable fixed point.