A Study on the double crisis vertex in a twoparameter plane*

doi:https://doi.org/10.7498/aps.51.2694

A Study on the double crisis vertex in a twoparameter plane*

Hong Ling,Jian-Xue Xu,西安交通大学非线性动力学研究所,西安710049-2002-01-01-Acta Physica Sinica

2

TL;DRAbstract

By means of GCMD method, a double crisis of sinusoidally forced oscillators is studied. A double crisis vertex in a two-parameter plane is determined, at which two curves of boundary crisis and two curves of interior crisis meet and four distinct crises coincide. Physically, small parameter perturbation (noise) about such a vertex induces drastic changes in the dynamical behaviour.

Chat with Paper

AI Agents for this Paper

By means of GCMD method, a double crisis of sinusoidally forced oscillators is studied. A double crisis vertex in a two-parameter plane is determined, at which two curves of boundary crisis and two curves of interior crisis meet and four distinct crises coincide. Physically, small parameter perturbation (noise) about such a vertex induces drastic changes in the dynamical behaviour.

Keywords

Vertex (graph theory)PhysicsPerturbation (astronomy)Plane (geometry)Statistical physicsMathematicsQuantum mechanicsGeometry

Chat

Click to start Chat