Zobrazeno 1 - 10
of 2 679
pro vyhledávání: '"Llibre Jaume"'
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 9, Iss 1 (2024)
We study the maximum number of limit cycles which bifurcate from the periodic orbits of the linear centre ̇x = y, ̇y = −x, when it is perturbed in the form x˙=y-ɛ(1+coslθ)P(x,y), y˙=-x-ɛ(1+cosmθ)Q(x,y),\dot x = y - \varepsilon \left( {1 + {
Externí odkaz:
https://doaj.org/article/d870e8ff1195449aaed071c891fbd68c
Autor:
Llibre, Jaume, Santana, Paulo
In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also provide examples of these hybrid systems exhibiting chaotic dynamics.
Externí odkaz:
http://arxiv.org/abs/2407.05151
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 6, Iss 1, Pp 373-380 (2020)
We provide sufficient conditions for the existence of periodic solutions for the differential systems x′=y, y′=z, z′=−y−εF(t,x,y,z), andx′=y, y′=−x−εG(t,x,y,z,u), z′=u, u′=−z−εH(t,x,y,z,u),\matrix{{x' = y,\;\;\;y' = z,\;\
Externí odkaz:
https://doaj.org/article/a455d5d6684f4d949dc01b88d348d8c9
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 5, Iss 1, Pp 86-103 (2019)
We provide sufficient conditions for the existence of periodic solutions for the class of Duffing differential equations
Externí odkaz:
https://doaj.org/article/27dda38fb6294fa2836c859df7c7474f
Autor:
Llibre Jaume, Zhang Xiang
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 3, Iss 2, Pp 527-536 (2018)
We summarize the known results on the integrability of the complex Hamiltonian systems with two degrees of freedom defined by the Hamiltonian functions of the form
Externí odkaz:
https://doaj.org/article/72fbdb0c797c40d9bcd378d3d188e523
Autor:
Llibre Jaume, Valls Clàudia
Publikováno v:
Advanced Nonlinear Studies, Vol 18, Iss 3, Pp 537-542 (2018)
Let a(x){a(x)} be non-constant and let bj(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y˙=b1(x)y+b3(x)
Externí odkaz:
https://doaj.org/article/33887d9812194b04872d409e57601ebd
Publikováno v:
Advanced Nonlinear Studies, Vol 18, Iss 1, Pp 183-193 (2018)
In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
Externí odkaz:
https://doaj.org/article/163d35d09bb648f8b830c8dd9b7a3c48
Autor:
Llibre Jaume
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 2, Iss 2, Pp 509-518 (2017)
We present a brief survey on some classes of central configurations of the n-body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurat
Externí odkaz:
https://doaj.org/article/9e298509281d486aad9f5c263efd4339