Sign inSubmit
Tips: “quotes” for a phrase · author:Lee · a DOI goes straight to its article

7 articles for “periodic orbit”
Set a search alert
Research ArticleOpen accessPhrase in the titleFlows of Continuous-Time Dynamical Systems with No Periodic Orbit as an Equivalence Class under Topological Conjugacy RelationTahir Ahmad, Tan Lit KenProblem statement: Flows of continuous-time dynamical systems with the same number of equilibrium points and trajectories, and which has no periodic orbit form an equivalence class under the topological conjugacy relation. Approach: Arbitrarily, two trajectories resulting from two distinct flows of this type of dynamical systems were written as a set of points (orbit). A homeomorphism which maps between these … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,254 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Generalization of the Modified Liouville EquationJosé-Luis Rovira-Florián, Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-OrtizWe study the modified Liouville equation using various transformations to build dynamical systems and we use Dulac's criterion for give sufficient conditions of the non-existence of periodic orbits in the dynamical systems generated of the modified Liouville equation. …American Journal of Applied Sciences, Vol. 13, Issue 11 · 28 Nov 2016 · 7,018 accessesView PDFCite
Research ArticleOpen accessIn the keywordsChaotic Attitude Tumbling of Satellite in Magnetic FieldRashmi Bhardwaj, Parsan KaurIn this study, the half width of the chaotic separatrix has been estimated by chrikov's criterion. Through surface of section method, it has been observed that the magnetic torque parameter, the eccentricity of the orbit and the mass distribution parameter play an important in changing the regular motion into chaotic one. …American Journal of Applied Sciences, Vol. 3, Issue 10 · 31 Oct 2006 · 6,609 accessesView PDFCite
Research ArticleOpen accessIn the abstractBifurcation and Controlling Chaos in a Discrete-Time Biological SystemGuo FengThe dynamics of a discrete-time food chain model with strong pressure on preys is investigated. The types of equilibria of the system are analyzed using stability theory and bifurcation theory. The route to chaos via Neimark-Sacker bifurcation followed by period-doubling bifurcations of invariant curves is found for some parameter values through numerical simulation. Moreover, the chaos is controlled on the … …American Journal of Biochemistry and Biotechnology, Vol. 16, Issue 3 · 7 Jul 2020 · 6,681 accessesView PDFCite
Research ArticleOpen accessIn the abstractResonance in Satellite's Motion Under Air DragRashmi Bhardwaj, Mani SethiThis article studies the attitude motion of a satellite in a circular orbit under the influence of central body of mass M and its moon of mass m, whose orbit is assumed to be circular and coplanar with the orbit of the satellite. The body is assumed to be tri-axial body with principal moments of inertia A < B < … …American Journal of Applied Sciences, Vol. 3, Issue 12 · 31 Dec 2006 · 7,001 accessesView PDFCite
Research ArticleOpen accessIn the abstractSatellite's Motion under the Effect of Magnetic TorqueRashmi Bhardwaj, Parsan KaurNon-integrability of planar oscillation of a satellite in an elliptic orbit under the influence of magnetic torque has been studied. The amplitude of the oscillation remains constant upto the second order of approximation. The analysis regarding the stability of the stationary planar oscillation of a satellite near the resonance frequency shows that discontinuity occurs in the amplitude of the oscillation … …American Journal of Applied Sciences, Vol. 3, Issue 6 · 30 Jun 2006 · 6,818 accessesView PDFCite
Review ArticleOpen accessIn the abstractNASA Data Used to Discover Eighth Planet Circling Distant StarRelly Victoria Petrescu, Raffaella Aversa, Antonio Apicella, Florian Ion Tiberiu PetrescuDiscovering the origins of life and colonizing extraterrestrial planets are two of the greatest ambitions that the international scientific community has today. Today, NASA is more prepared than ever to embark on an unprecedented race to conquer other worlds. The Kepler mission, named after Johannes Kepler, the German astronomer of the 16th-17th centuries, was scheduled to begin on March 7, … …Journal of Aircraft and Spacecraft Technology, Vol. 2, Issue 1 · 18 Jan 2018 · 7,904 accessesView PDFCite