Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth–Moon halo orbits
Sign Up to like & getrecommendations! Published in 2021 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-021-10030-y
Abstract: Future space programmes pose some interesting research problems in the field of non-Keplerian dynamics, being the Moon and the cislunar space central in the proposed roadmap for the future space exploration. In these regards, the… read more here.
Keywords: attitude solutions; earth moon; space; periodic orbit ... See more keywords
Complex dynamics in a generalized Langford system
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-4012-1
Abstract: This paper analyzes complex dynamics of the generalized Langford system (GLS) with five parameters. First, some important local dynamics such as the Hopf bifurcations and the stabilities of hyperbolic and zero/double-zero equilibrium are investigated using… read more here.
Keywords: periodic orbit; system; langford system; generalized langford ... See more keywords
Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05142-y
Abstract: For flows, the singular cycles connecting saddle periodic orbit and saddle equilibrium can poten- tially result in the so-called singular horseshoe, which means the existence of a non-uniformly hyperbolic chaotic invariant set. However, it is… read more here.
Keywords: periodic orbit; singular cycles; saddle periodic; piecewise ... See more keywords
Integrable Hamiltonian Systems with a Periodic Orbit or Invariant Torus Unique in the Whole Phase Space
Sign Up to like & getrecommendations! Published in 2018 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-018-0093-2
Abstract: It is very well known that periodic orbits of autonomous Hamiltonian systems are generically organized into smooth one-parameter families (the parameter being just the energy value). We present a simple example of an integrable Hamiltonian… read more here.
Keywords: periodic orbit; phase space; hamiltonian systems; integrable hamiltonian ... See more keywords
Periodic Orbit can be Evolutionarily Stable: Case Study of Discrete Replicator Dynamics.
Sign Up to like & getrecommendations! Published in 2020 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2020.110288
Abstract: In evolutionary game theory, it is customary to be partial to the dynamical models possessing fixed points so that they may be understood as the attainment of evolutionary stability, and hence, Nash equilibrium. Any show… read more here.
Keywords: periodic orbit; game; replicator; evolutionarily stable ... See more keywords
Saddle-center and periodic orbit: Dynamics near symmetric heteroclinic connection.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0035534
Abstract: An analytic reversible Hamiltonian system with two degrees of freedom is studied in a neighborhood of its symmetric heteroclinic connection made up of a symmetric saddle-center, a symmetric orientable saddle periodic orbit lying in the… read more here.
Keywords: periodic orbit; heteroclinic connection; saddle center; symmetric heteroclinic ... See more keywords
Periodic orbit of the pendulum with a small nonlinear damping
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.649
Abstract: We study the pendulum with a small nonlinear damping, which can be expressed by a Hamiltonian system with a small perturbation. We prove that a unique periodic orbit exists for any initial position between the… read more here.
Keywords: pendulum small; periodic orbit; small nonlinear; nonlinear damping ... See more keywords