Isospectrality in Chaotic Billiards
Abhishek Dhar, D. Madhusudana Rao, N. Udaya Shankar, S. Sridhar
Abstract
We consider a modification of isospectral cavities whereby the classical dynamics changes from pseudointegrable to chaotic. We construct an example where we can prove that isospectrality is retained. We then demonstrate this explicitly in microwave resonators.
Create a lesson
Related papers
A Second-Order Asymptotic Expansion for Nonlinear Filtering in the Lorenz--63 System
Masahiro Kurisaki, Kota Takeda
Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators
Luekai Zhao, Nariya Uchida
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana et al.
A Renormalization-Group Hierarchy of Stochastic Effective Dynamics Learned through Path Integrals
Yuki Yasuda, Tobias Bischoff
ETM-3D: A One-Parameter Multistable Quadratic Flow with an Explicit Absorbing Set and Intermittent Chaos
Roya Khalili-Amirabadi, Mohsen Jalaeian-Farimani
Influence of astrocyte feedback and noise on breathing neural clusters
Ediline L. F. Nguessap, Thierry Njougouo, Fernando F. Ferreira