On the Reducibility of a Class of Nonlinear Periodic Hamiltonian Systems with Degenerate Equilibrium
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00396-z
Abstract: In this paper, we prove the existence of periodic solutions of a class of Hamiltonian systems with degenerate equilibriums under small nonlinear periodic perturbations. Actually we prove that the periodic Hamiltonian systems with small perturbations… read more here.
Keywords: reducibility class; periodic hamiltonian; systems degenerate; hamiltonian systems ... See more keywords
MPC for nonlinear periodic tracking using reference generic offline computations
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.032
Abstract: Abstract We present a nonlinear model predictive control (MPC) scheme for tracking of periodic output trajectories. The scheme combines stabilization and output regulation in one layer, thus ensuring constraint satisfaction irrespective of changes in the… read more here.
Keywords: mpc nonlinear; generic offline; periodic tracking; reference ... See more keywords
Dynamics of mechanical metamaterials: A framework to connect phonons, nonlinear periodic waves and solitons
Sign Up to like & getrecommendations! Published in 2021 at "Journal of The Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2020.104233
Abstract: Abstract Flexible mechanical metamaterials have been recently shown to support a rich nonlinear dynamic response. In particular, it has been demonstrated that the behavior of rotating-square architected systems in the continuum limit can be described… read more here.
Keywords: periodic waves; mechanical metamaterials; metamaterials framework; dynamics mechanical ... See more keywords
Nonlinear periodic foundations for seismic protection: Practical design, realistic evaluation and stability considerations
Sign Up to like & getrecommendations! Published in 2021 at "Soil Dynamics and Earthquake Engineering"
DOI: 10.1016/j.soildyn.2021.106934
Abstract: Abstract A comprehensive numerical study on the performance of a novel nonlinear foundation consisting of alternating layers of lead rubber bearings and concrete slabs is presented in this article. The novel design combines the established… read more here.
Keywords: nonlinear periodic; performance; foundation; stability ... See more keywords
Magnetoacoustic nonlinear periodic (cnoidal) waves in plasmas
Sign Up to like & getrecommendations! Published in 2017 at "Physics of Plasmas"
DOI: 10.1063/1.4973836
Abstract: Magnetoacoustic nonlinear periodic (cnoidal) waves and solitons are studied in magnetized electron-ion plasmas with inertial cold ions and warm electrons. Using the two fluid model, the dispersion relation of the magnetoacoustic waves is obtained in… read more here.
Keywords: waves plasmas; magnetoacoustic nonlinear; cnoidal waves; periodic cnoidal ... See more keywords
On the reducibility of a nonlinear periodic system with degenerate equilibrium
Sign Up to like & getrecommendations! Published in 2018 at "Dynamical Systems"
DOI: 10.1080/14689367.2017.1349077
Abstract: ABSTRACT In this paper, we prove the reducibility of a class of nonlinear periodic differential equation with degenerate equilibrium point under small perturbations, and obtain a periodic solution near the equilibrium point. The result is… read more here.
Keywords: degenerate equilibrium; reducibility; equilibrium; system degenerate ... See more keywords
Coincidence Theory of a Nonlinear Periodic Sturm-Liouville System and Its Applications
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11120726
Abstract: Based on the second derivative, this paper directly establishes the coincidence degree theory of a nonlinear periodic Sturm–Liouville (SL) system. As applications, we study the existence of periodic solutions to the S–L system with some… read more here.
Keywords: system; liouville system; nonlinear periodic; theory nonlinear ... See more keywords
Nonlinear Periodic Ion Acoustic Waves in a Relativistic Plasma with Isothermal Electrons and Cold Ions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.90.034503
Abstract: Propagation of nonlinear ion acoustic waves in a relativistic electron–ion plasma is studied using the covariant formulation. Ions are assumed cold and a polytropic equation of state of the form p ... read more here.
Keywords: nonlinear periodic; waves relativistic; ion; ion acoustic ... See more keywords