Results 131 to 140 of about 864 (203)

Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes

open access: yes, 2016
We prove that for $C^1$ generic diffeomorphisms, if a homoclinic class $H(P)$ contains two hyperbolic periodic orbits of indices $i$ and $i+k$ respectively and $H(P)$ has no domination of index $j$ for any $j\in\{i+1,\cdots,i+k-1\}$, then there exists a ...
Zhang, Jinhua, Wang, Xiaodong
core  

Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials

open access: yesElectronic Journal of Differential Equations, 2017
In this article, we establish sufficient conditions for the existence of homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot u(t)-L(t)u(t)+\nabla W\bigl(t,u(t)\bigr)=f(t), $$ where L(t) is a positive definite symmetric ...
Xiang Lv
doaj  

Optimization of ictal aborting stimulation using the dynamotype taxonomy. [PDF]

open access: yesJ Comput Neurosci, 2023
Szuromi MP, Jirsa VK, Stacey WC.
europepmc   +1 more source

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