Results 21 to 30 of about 646 (172)
Three Homoclinic Solutions for Second-Order -Laplacian Differential System
Abstract and Applied Analysis, 2013 We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions.
Jia Guo, Bin-Xiang Dai
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Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
Shock and Vibration, 2018 The coupling effect of two different frequency scales between the exciting frequency and the natural frequency of the Shimizu-Morioka system with slow-varying periodic excitation is investigated.
Xindong Ma, Shuqian Cao
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Homoclinic Points Calculation Method With Particle Swarm Optimization
IEEE AccessThis paper proposes a novel algorithm to accurately calculate the coordinates of homoclinic points observed in discrete-time dynamical systems. The proposed method is based on the particle swarm optimization method. Compared with the current methods, the
Tatsumi Makino +3 more
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Homoclinic orbits and Lie rotated vector fields
International Journal of Mathematics and Mathematical Sciences, 2000 Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
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Complexity, 2021 In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically.
Yélomè Judicaël Fernando Kpomahou +3 more
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Homoclinic points of algebraic $\mathbb {Z}^d$-actions [PDF]
Journal of the American Mathematical Society, 1999 According to the authors' terminology an algebraic \(\mathbb Z^d\)-action is an action of \(\mathbb Z^d\) by continuous automorphisms on a compact abelian group. The purpose of the paper under review is to study the homoclinic points of algebraic \(\mathbb Z^d\)-actions. Let \(\alpha\) be an algebraic \(\mathbb Z^d\)-action on the compact abelian group
Lind, Douglas, Schmidt, Klaus
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Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem
AppliedMathWe examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
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Homoclinic points of mappings of the interval [PDF]
Proceedings of the American Mathematical Society, 1978 Let f be a continuous map of a closed interval I into itself. A point x ∈ I x \in I is called a homoclinic point of f if there is a peridoic point p of f such that x ≠ p , x x \ne p,x is in the unstable manifold of p, and p is in the orbit of x under
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Characterization of K-complexes and slow wave activity in a neural mass model.
PLoS Computational Biology, 2014 NREM sleep is characterized by two hallmarks, namely K-complexes (KCs) during sleep stage N2 and cortical slow oscillations (SOs) during sleep stage N3.
Arne Weigenand +4 more
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