Results 71 to 80 of about 10,336 (188)
Analysis of Dynamics in Multiphysics Modelling of Active Faults
Mathematics, 2016 Instabilities in Geomechanics appear on multiple scales involving multiple physical processes. They appear often as planar features of localised deformation (faults), which can be relatively stable creep or display rich dynamics, sometimes culminating in
Sotiris Alevizos +3 more
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Nonuniformly expanding 1d maps with logarithmic singularities
, 2011 For a certain parametrized family of maps on the circle with critical points and logarithmic singularities where derivatives blow up to infinity, we construct a positive measure set of parameters corresponding to maps which exhibit nonuniformly expanding
Takahasi, Hiroki, Wang, Qiudong
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Homoclinic points and intersections of Lagrangian submanifold
Discrete & Continuous Dynamical Systems - A, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Running Homoclinic and Periodic Points in Standard-Like Mappings [PDF]
Progress of Theoretical Physics, 2001 This paper is devoted to the dynamical properties of standard-like mappings. The authors find the stability exchange of periodic points on the symmetry axes occurs in a sequence until the properties of certain homoclinic points of the stable and unstable manifolds of the main saddle point on the \(x\)-axis are exchanged.
Tanikawa, Kiyotaka, Yamaguchi, Yoshihiro
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Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points [PDF]
Mathematics and Computers in Simulation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Closed geodesics and the first Betti number
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
wiley +1 more source
Frontiers in Cellular Neuroscience, 2018 Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao +3 more
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Homoclinic Points in the Composition of Two Reflections [PDF]
Differential Equations and Dynamical Systems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Protected Chaos in a Topological Lattice
Advanced Science, Volume 12, Issue 28, July 24, 2025.Topological and chaotic dynamics are often considered incompatible, with one expected to dominate or disrupt the other. This work reveals that topological localization can persist even under strong chaotic dynamics and, counter‐intuitively, protect chaotic behavior.
Haydar Sahin +6 more
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Electronic Journal of Qualitative Theory of Differential EquationsThis paper tightens the classical Poincaré–Bendixson theory for a positively invariant, simply-connected compact set $\mathcal M$ in a continuously differentiable planar vector field by further characterizing for any point $p\in \mathcal M$, the ...
Pouria Ramazi +2 more
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