Hyperbolicity versus weak periodic orbits inside homoclinic classes
, 2017 We prove that, for$C^{1}$-generic diffeomorphisms, if the periodic orbits contained in a homoclinic class$H(p)$have all their Lyapunov exponents bounded away from zero, then$H(p)$must be (uniformly) hyperbolic.
XIAODONG WANG
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Homoclinic solutions for a class of second order non-autonomous systems
Electronic Journal of Differential Equations, 2009 This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
doaj
Mentoring for Faculty from Working-Class Backgrounds
, 2020 Faculty mentoring across gender, race, and culture is facilitated by formal mentoring programs. Mentoring across the cultural differences associated with social class, however, represents a largely unaddressed gap in the provision of formal faculty ...
Poulsen, Joan R. +3 more
core
Generation of homoclinic tangencies by $C^1$-perturbations.
, 2010 International audienceGiven a [C^1] -diffeomorphism [f] of a compact manifold, we show that if the stable/unstable dominated splitting along a saddle is weak enough, then there is a small [C^1] -perturbation that preserves the orbit of the saddle and ...
Gourmelon, Nicolas
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Multiple homoclinic solutions for superquadratic Hamiltonian systems
Electronic Journal of Differential Equations, 2016 In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems $$ \ddot{u}-L(t)u+W_u(t,u)=0, \quad \forall t\in\mathbb{R}, $$ where L is not required to be either uniformly positive ...
Wei Jiang, Qingye Zhang
doaj
Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]
Sci Rep, 2023 Wang H, Ke G, Pan J, Su Q.
europepmc +1 more source
Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse. [PDF]
Cogn Neurodyn, 2023 Qi C, Li Y, Gu H, Yang Y.
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Snake-to-isola transition and moving solitons via symmetry-breaking in discrete optical cavities [PDF]
, 2010 This paper continues an investigation into a one-dimensional lattice equation that models the light field in a system comprised of a periodic array of pumped optical cavities with saturable nonlinearity.
Champneys, AR, Yulin, AV
core
Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment. [PDF]
Int J Dyn Control, 2023 Saha P, Ghosh U.
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An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2022 Pan Q, Huang J, Wang H.
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