Homoclinic solutions for a class of neutral Duffing differential systems [PDF]
Wenbin Chen
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Modeling, dynamical analysis and numerical simulation of a new 3D cubic Lorenz-like system. [PDF]
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]
Qi C, Li Y, Gu H, Yang Y.
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Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries
This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems $$ dot{z}=JH_z(t,z) $$ without any periodicity assumption on $H$, providing that $H(t,z ...
Cheng Lee
doaj
Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment. [PDF]
Saha P, Ghosh U.
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The Plykin and Solenoid attractor are homoclinic classes
A homoclinic class is the closure of the transverse intersection points of the stable and unstable manifolds of a hyperbolic periodic orbit. In this paper, we prove, using the techniques presented in [1], that the Plykin and the Solenoid attractors are a homoclinic class.
Raibel Arias Cantillo +1 more
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An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
Pan Q, Huang J, Wang H.
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Fast homoclinic solutions for a class of ordinary p-Laplacian systems [PDF]
Bo Du
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Homoclinic solutions for a class of second order non-autonomous systems
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
Waves of infection emerging from coupled social and epidemiological dynamics. [PDF]
Iwasa Y, Hayashi R.
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