13 citations · 77 across the 15 of their papers we have counts for
13 papers
On the correct computation of all Lyapunov exponents in Hamiltonian dynamical systems
Daniel D. Carpintero, J. C. Muzzio
The Lyapunov Characteristic Exponents are a useful indicator of chaos in astronomical dynamical systems. They are usually computed through a standard, very efficient and neat algor…
The Lyapunov exponents and the neighbourhood of periodic orbits
D. D. Carpintero, J. C. Muzzio
We show that the Lyapunov exponents of a periodic orbit can be easily obtained from the eigenvalues of the monodromy matrix. It turns out that the Lyapunov exponents of simply stab…
Chaotic orbits obeying one isolating integral in a four dimensional map
J. C. Muzzio
We have recently presented strong evidence that chaotic orbits that obey one isolating integral besides energy exist in a toy Hamiltonian model with three degrees of freedom and ar…
Partially chaotic orbits in a perturbed cubic force model
J. C. Muzzio
Three types of orbits are theoretically possible in autonomous Hamiltonian systems with three degrees of freedom: fully chaotic (they only obey the energy integral), partially chao…
Models of cuspy triaxial stellar systems. IV: Rotating systems
D. D. Carpintero, J. C. Muzzio
We built two self-consistent models of triaxial, cuspy, rotating stellar systems adding rotation to non-rotating models presented in previous papers of this series. The final angul…
Models of cuspy triaxial stellar systems. III: The effect of velocity anisotropy on chaoticity
D. D. Carpintero, J. C. Muzzio, H. D. Navone
In several previous investigations we presented models of triaxial stellar systems, both cuspy and non cuspy, that were highly stable and harboured large fractions of chaotic orbit…