4 papers
Formation and Localization of Four-wing Attractor in Phase space
Tanmayee Patra, Biplab Ganguli
A chaotic attractor is formed in a finite region in phase space by the long-term trajectory of a three or higher-dimensional dissipative system. The attractor is a fractional-dimen…
Chaos in cymatics-inspired Gaussian landscapes
Tanmayee Patra, Pranaya Pratik Das, Biplab Ganguli
This paper presents a focused investigation of a conservative chaotic system, specifically within the context of a two-dimensional harmonic potential well. We analyse the emergence…
Classical and quantum chaos in bean- and peanut-shaped billiards
Pranaya Pratik Das, Tanmayee Patra, Biplab Ganguli
The geometry of a billiard boundary fundamentally governs its dynamics, ranging from integrable to mixed and fully chaotic regimes. Bean- and peanut-shaped billiards have varying c…
Emergence of Multi-Scroll Attractors
Tanmayee Patra, Biplab Ganguli
Phase space trajectories are fundamentally important for understanding and analysing chaotic attractors. This is mostly carried out by direct numerical solution of the dynamical eq…