Existence of Homoclinic Orbits for Hamiltonian Systems with Superquadratic Potentials
Abstract and Applied Analysis, 2009 This paper concerns solutions for the Hamiltonian system: z˙=𝒥Hz(t,z). Here H(t,z)=(1/2)z⋅Lz+W(t,z), L is a 2N×2N symmetric matrix, and W∈C1(ℝ×ℝ2N,ℝ).
Jian Ding, Junxiang Xu, Fubao Zhang
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Periodic and homoclinic orbits in a toy climate model [PDF]
Nonlinear Processes in Geophysics, 1994 A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet.
M. Toner, A. D. Kirwan, Jr.
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The Homoclinic Orbits in the Liénard Plane
Journal of Mathematical Analysis and Applications, 1995 In reply to a question, posed by Roberto Conti, concerning the stability properties of the origin to a pseudolinear system in \(\mathbb{R}^ 2\), the situation is clarified for the well-known Liénard system. The notion of the maximal elliptic sector is shown to play an important role with respect to a zero solution to be a positive global (weak ...
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Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Proc Natl Acad Sci U S A, 2023 Pinsky T.
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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.
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Bifurcations of homoclinic orbits in bimodal maps
Physical Review E, 1994 We discuss the bifurcation structure of homoclinic orbits in bimodal one dimensional maps. The universal structure of these bifurcations with singular bifurcation points and the web of bifurcation lines through the parameter space are described. The bifurcations depend on two parameters (codimension 2 bifurcations).
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Correction: An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2023 Pan Q, Huang J, Wang H.
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Reply to the comments on the letter of Peets et al. titled "Comment on solitons in the Heimburg-Jackson model of sound propagation in lipid bilayers are enabled by dispersion of a stiff membrane" by Drab et al. [PDF]
Eur Phys J E Soft Matter, 2023 Drab M +3 more
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Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems. [PDF]
Entropy (Basel), 2023 Souza LC +3 more
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