Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster Quantum Systems

DY 53.3: Poster

Thursday, April 4, 2019, 15:00–18:00, Poster B2

Geometry of complex instability in 4D symplectic maps — •Jonas Stöber¹ and Arnd Bäcker^{1, 2} — ¹TU Dresden, Institut für Theoretische Physik, Dresden — ²MPI für Physik komplexer Systeme, Dresden

In dynamical systems with more than two degrees of freedom periodic orbits may show many different types of stabilities. For 4D symplectic maps so-called complex instability commonly occurs, which is not possible for 2D symplectic maps. For a specific 4D map we investigate the transition from elliptic to complex unstable dynamics of a fixed point under parameter variation. The change in the geometry of regular structures is visualized using 3D phase space slices and in frequency space. The chaotic dynamics is studied using escape time plots and by computations of the 2D invariant manifolds associated with the complex unstable fixed point.