New developments in classical chaotic scattering

JM Seoane, MAF Sanjuán - Reports on Progress in Physics, 2012 - iopscience.iop.org
Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …

Chaotic lensing around boson stars and Kerr black holes with scalar hair

PVP Cunha, J Grover, C Herdeiro, E Radu… - Physical Review D, 2016 - APS
In a recent paper [PVP Cunha, CAR Herdeiro, E. Radu, and HF Runarsson, Phys. Rev. Lett.
115, 211102 (2015).], it was shown that the lensing of light around rotating boson stars and …

Binary black hole shadows, chaotic scattering and the Cantor set

JO Shipley, SR Dolan - Classical and Quantum Gravity, 2016 - iopscience.iop.org
We investigate the qualitative features of binary black hole shadows using the model of two
extremally charged black holes in static equilibrium (a Majumdar–Papapetrou solution). Our …

The mixmaster universe is chaotic

NJ Cornish, JJ Levin - Physical Review Letters, 1997 - APS
For the past decade there has been a considerable debate about the existence of chaos in
the mixmaster cosmological model. The debate has been hampered by the coordinate, or …

Mixmaster universe: A chaotic Farey tale

NJ Cornish, JJ Levin - Physical Review D, 1997 - APS
When gravitational fields are at their strongest, the evolution of spacetime is thought to be
highly erratic. Over the past decade debate has raged over whether this evolution can be …

Chaos of particle motion near a black hole with quasitopological electromagnetism

YQ Lei, XH Ge, C Ran - Physical Review D, 2021 - APS
We explore the chaotic behavior of particle motion in a black hole with quasitopological
electromagnetism. The chaos bound is found to be violated in the higher order expansion of …

Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations

NV Kuznetsov, TA Alexeeva, GA Leonov - Nonlinear Dynamics, 2016 - Springer
Nowadays the Lyapunov exponents and Lyapunov dimension have become so widespread
and common that they are often used without references to the rigorous definitions or …

Gravity waves, chaos, and spinning compact binaries

J Levin - Physical review letters, 2000 - APS
Spinning compact binaries are shown to be chaotic in the post-Newtonian expansion of the
two-body system. Chaos by definition is the extreme sensitivity to initial conditions and a …

Observable signature of a background deviating from the Kerr metric

G Lukes-Gerakopoulos, TA Apostolatos… - Physical Review D …, 2010 - APS
By detecting gravitational wave signals from extreme mass ratio inspiraling sources (EMRIs)
we will be given the opportunity to check our theoretical expectations regarding the nature of …

Proof of Lyapunov exponent pairing for systems at constant kinetic energy

CP Dettmann, GP Morriss - Physical Review E, 1996 - APS
We present a proof that a system consisting of any finite number of particles that move under
the action of a scalar potential at constant kinetic energy exhibits conjugate pairing of …