The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface
Matthaios Katsanikas, Malcolm Hillebrand, Ch. Skokos, Stephen Wiggins
Abstract
In this paper, we analyze the influence of asymmetry on a Caldera potential energy surface. We first study the effect of asymmetry on the structure of the periodic orbit dividing surfaces associated with the unstable periodic orbits of the higher energy index-1 saddles. Then we detect a new type of dynamical matching due to the influence of the asymmetry in the Caldera potential energy surface. Finally, we present the phase space mechanism for this new type of dynamical matching using Lagrangian Descriptors.
Topics & Concepts
AsymmetryCalderaSurface (topology)PhysicsEnergy (signal processing)Matching (statistics)Potential energyPhase spaceClassical mechanicsStatistical physicsMathematicsGeologyGeometryQuantum mechanicsVolcanoSeismologyStatisticsQuantum chaos and dynamical systemsAstro and Planetary ScienceChaos control and synchronization