Results 81 to 90 of about 7,276 (215)
Abstract and Applied Analysis, 2014 In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions ...
Liu Yang
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Codimension one generic homoclinic classes with interior
Bulletin of the Brazilian Mathematical Society, New Series, 2010 We study generic diffeomorphisms with a homoclinc class with non empty interior and in particular those admitting a codimension one dominated splitting. We prove that if in the finest dominated splitting the extreme subbundles are one dimensional then the diffeomorphism is partially hyperbolic and from this we deduce that the diffeomorphism is ...
Potrie, Rafael, Sambarino, Martin
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Tipping mechanisms in a conceptual model of the Atlantic Meridional Overturning Circulation
Weather, Volume 79, Issue 10, Page 316-323, October 2024.The Atlantic Meridional Overturning Circulation (AMOC) forms an essential component of the global ocean circulation. Paleoclimate records indicate the AMOC's capability to tip between different states that resulted in large global climate impacts Using an AMOC box model, re‐calibrated against a global circulation model, HadGEM3, we present a new ...
Ruth Chapman +2 more
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A (short) survey on Dominated Splitting [PDF]
, 2014 We present here the concept of Dominated Splitting and give an account of some important results on its dynamics.Comment: 19 ...
Sambarino, Martin
core
A criterion for singular homoclinic classes
Discrete and Continuous Dynamical SystemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ming, Yang, Jiagang, Zheng, Rusong
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Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system
Studies in Applied Mathematics, Volume 153, Issue 1, July 2024.Abstract The Serre–Green–Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre–Green–Naghdi system incorporating the effect of an artificial term that results in dispersive and dissipative dynamics.
Daria Bolbot +2 more
wiley +1 more source
Partial Hyperbolicity and Homoclinic Tangencies [PDF]
, 2011 We show that any diffeomorphism of a compact manifold can be C1 approximated by diffeomorphisms exhibiting a homoclinic tangency or by diffeomorphisms having a partial hyperbolic ...
Crovisier, Sylvain +2 more
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Homoclinic Solutions for a Class of Hamiltonian Systems
Advanced Nonlinear Studies, 2004 Abstract We consider the first order Hamiltonian system q̇ = Hp(p, q), ṗ = −Hq(p, q), (HS) where p, q : ℝ → ℝN (N ≥ 3), H ∈ C1 (ℝN × ℝN \ {e}, ℝ ) and behaves roughly like
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Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
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