Results 21 to 30 of about 79,939 (231)

Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I

International Journal of Bifurcation and Chaos, 2022
First, we study the planar continuous piecewise differential systems separated by the straight line [Formula: see text] formed by a linear isochronous center in [Formula: see text] and an isochronous quadratic center in [Formula: see text]. We prove that these piecewise differential systems cannot have crossing periodic orbits, and consequently they ...
Bilal Ghermoul, Jaume Llibre, Tayeb Salhi   +2 more
openaire   +2 more sources

Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System [PDF]

, 2008
The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use numerical techniques to show this existence, even in the case of continuous piecewise linear systems.
Carmona Centeno, Victoriano, Fernández Sánchez, Fernando, Teruel Aguilar, Antonio Esteban   +2 more
core   +1 more source

Quantitative model checking of continuous-time Markov chains against timed automata specifications [PDF]

, 2009
We study the following problem: given a continuous-time Markov chain (CTMC) C, and a linear real-time property provided as a deterministic timed automaton (DTA) A, what is the probability of the set of paths of C that are\ud accepted by A (C satisfies A)?
Chen, Taolue, Han, Tingting, Katoen, Joost-Pieter, Mereacre, Alexandru   +3 more
core   +4 more sources

Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers

Boletín de la Sociedad Matemática Mexicana, 2023
The study of limit cycles of planar differential systems is one of the main and difficult problems for understanding their dynamics. Thus the objective of this paper is to study the limit cycles of continuous piecewise differential systems in the plane separated by a non-regular line Σ.
Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal   +3 more
openaire   +3 more sources

Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields [PDF]

, 2019
In the present study we consider planar piecewise linear vector fields with two zones separated by the straight line $x=0$. Our goal is to study the existence of simultaneous crossing and sliding limit cycles for such a class of vector fields.
Cardoso, Joao L., Llibre, Jaume, Novaes, Douglas D., Tonon, Durval J.   +3 more
core   +2 more sources

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line [PDF]

, 2014
In this paper we study the maximum number $N$ of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line.
Euzébio, Rodrigo D., Llibre, Jaume
core   +4 more sources

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source

A Survey on Continuous Time Computations [PDF]

, 2007
We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models.
A Ben-Hur, A Ben-Hur, A Ben-Hur, A Ben-Hur, A Kempe, A Rabinovich, A Turing, A Vergis, A. Church, APL Francisco, Asarin, B Trakhtenbrot, BJ Copeland, C Moore, C Moore, C Moore, C Moore, CE Shannon, CS Calude, D Dee, D Deutsch, D Graça, D Woods, DS Graça, DS Graça, E Asarin, E Asarin, E Asarin, E Post, EB Davies, G Etesi, G Lafferriere, G P ăun, H Abdi, HM Stoll, HT Siegelmann, HT Siegelmann, HT Siegelmann, I Artobolevskii, I Németi, J Earman, J Foy, J Mycka, J Mycka, J Mycka, J Mycka, J Šíma, J Šíma, JF Costa, JJ Hopfield, JJ Hopfield, JV Tucker, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Ruohonen, K Weihrauch, K-I Ko, K-I Ko, L Blum, L Faybusovich, L Faybusovich, L Lipshitz, LA Rubel, LA Rubel, LM Adleman, M Campagnolo, M Campagnolo, M Casey, M Casey, M Davis, M Gori, M Hogarth, M Hogarth, M Hoyrup, M Pour-El, MB Pour-El, MB Pour-El, MB Pour-El, MD Bowles, ML Campagnolo, ML Campagnolo, ML Hogarth, MO Rabin, MS Branicky, MS Branicky, N Müller, O Bournez, O Bournez, O Bournez, O Bournez, O Bournez, O. Finkel, P Bouyer, P Clote, P Collins, P Koiran, P Koiran, P Koiran, P Orponen, P Orponen, PW Shor, R Alur, R Alur, R Legenstein, RJ Lipton, RW Brockett, RW Brockett, S Aaronson, S Grigorieff, S Omohundro, S. C. Kleene, T Brihaye, T Brihaye, T Head, T Natschläger, TA Henzinger, TD Kieu, U Helmke, V Bush, VD Blondel, VD Blondel, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, W Maass, WD Smith, Šíma   +138 more
core   +5 more sources

Accurate difference methods for linear ordinary differential systems subject to linear constraints [PDF]

, 1969
We consider the general system of n first order linear ordinary differential equations y'(t)=A(t)y(t)+g(t ...
Keller, Herbert B.
core   +1 more source

On the birth of limit cycles for non-smooth dynamical systems [PDF]

, 2014
The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov, Barbashin, Bazykin, Bogoliubov, Bogoliubov, Brogliato, Browder, Buica, Cardin, Douglas D. Novaes, Fatou, Filippov, Han, Henry, Huan, Ilyashenko, Ito, Jaume Llibre, Krivan, Li, Llibre, Llibre, Llibre, Llibre, Marco A. Teixeira, Minorski, Sanders, Sotomayor, Teixeira, Tonnelier, Various, Verhulst   +31 more
core   +3 more sources