Periodic Orbits and Bifurcations in a High‐Dimensional Nonautonomous Piecewise Smooth Discontinuous System
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10918
Abstract: The dry friction coupled vibration system represents a typical nonsmooth system, and the investigation of the dynamic characteristics of nonsmooth systems is of great significance for mechanical control, safe operation, and the formulation of engineering… read more here.
Keywords: system; periodic orbits; orbits bifurcations; piecewise smooth ... See more keywords
Periodic Orbits of MAX and MIN Multistate Networks
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10944
Abstract: This work presents a generalization of Boolean networks to multistate networks over a complement‐closed set 𝒞 , which can be finite or infinite. Specifically, we focus on MAX (and MIN) multistate networks, whose dynamics are… read more here.
Keywords: max min; periodic orbits; points periodic; multistate networks ... See more keywords
Generalized periodic orbits of the time-periodically forced Kepler problem accumulating at the center and of circular and elliptic restricted three-body problems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Annalen"
DOI: 10.1007/s00208-021-02339-8
Abstract: In this paper, we consider a time-periodically forced Kepler problem in any dimension, with an external force which we only assume to be regular in a neighborhood of the attractive center. We prove that there… read more here.
Keywords: periodically forced; center; time periodically; forced kepler ... See more keywords
Nonexistence of Periodic Orbits for Forced–Damped Potential Systems in Bounded Domains
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-020-09607-y
Abstract: We prove $$L^r$$ L r -estimates on periodic solutions of periodically forced, linearly damped mechanical systems with polynomially bounded potentials. The estimates are applied to obtain a nonexistence result of periodic solutions in bounded domains,… read more here.
Keywords: damped potential; bounded domains; forced damped; orbits forced ... See more keywords
Retrograde near-circular periodic orbits near equatorial planes of small irregular bodies
Sign Up to like & getrecommendations! Published in 2017 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-017-3148-2
Abstract: Research on the stabilities of periodic orbits is useful for selection of parking orbits in asteroid and comet missions. In this paper, retrograde near-circular periodic orbits near equatorial planes (RNPOEP) of small irregular bodies are… read more here.
Keywords: circular periodic; orbits near; near equatorial; near circular ... See more keywords
Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9834-8
Abstract: We consider a planetary system consisting of two primaries, namely a star and a giant planet, and a massless secondary, say a terrestrial planet or an asteroid, which moves under their gravitational attraction. We study… read more here.
Keywords: circular elliptic; restricted three; periodic orbits; elliptic restricted ... See more keywords
A database of planar axisymmetric periodic orbits for the Solar system
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9844-6
Abstract: A multiple grid search strategy is implemented to generate a broad database of axisymmetric three-body periodic orbits for planets and main planetary satellites in the Solar system. The periodic orbit search is performed over 24… read more here.
Keywords: grid search; search; solar system; database ... See more keywords
Modeling and dynamics near irregular elongated asteroids
Sign Up to like & getrecommendations! Published in 2024 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-025-10244-4
Abstract: We investigate the qualitative characteristics of a test particle attracted to an irregular elongated body, modeled as a non-homogeneous straight segment with a variable linear density. By deriving the potential function in closed form, we… read more here.
Keywords: irregular elongated; dynamics near; near irregular; elongated asteroids ... See more keywords
Uniform Generators, Symbolic Extensions with an Embedding, and Structure of Periodic Orbits
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9674-y
Abstract: For a topological dynamical system $$(X,T)$$(X,T) we define a uniform generator as a finite measurable partition such that the symmetric cylinder sets in the generated process shrink in diameter uniformly to zero. The problem of… read more here.
Keywords: extensions embedding; zero dimensional; uniform generators; symbolic extensions ... See more keywords
Reeb’s Theorem and Periodic Orbits for a Rotating Hénon–Heiles Potential
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09814-6
Abstract: We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon–Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most… read more here.
Keywords: non heiles; rotating non; orbits rotating; periodic orbits ... See more keywords
Periodic orbits of a conservative 2-DOF vibro-impact system by piecewise continuation: bifurcations and fractals
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-04734-4
Abstract: The exact periodic orbits of a conservative 2-degree-of-freedom vibro-impact system with stereo-mechanical impact model is studied using a piecewise continuation method. Feasible initial guesses are extracted from grazing solution points so that each branch of… read more here.
Keywords: orbits conservative; system; impact; periodic orbits ... See more keywords