Results 61 to 70 of about 10,534 (236)
Delayed Self-Synchronization in Homoclinic Chaos
, 2001 The chaotic spike train of a homoclinic dynamical system is self-synchronized by re-inserting a small fraction of the delayed output. Due to the sensitive nature of the homoclinic chaos to external perturbations, stabilization of very long periodic ...
A. Di Garbo +25 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
wiley +1 more source
Homoclinic Orbits and Lagrangian Embeddings [PDF]
International Mathematics Research Notices, 2010 This paper introduces techniques of symplectic topology to the study of homoclinic orbits in Hamiltonian systems. The main result is a strong generalization of homoclinic existence results due to Sere and to Coti-Zelati, Ekeland and Sere, which were obtained by variational methods.
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IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv +7 more
wiley +1 more source
Complexity, Volume 2025, Issue 1, 2025.The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou +9 more
wiley +1 more source
Infinitely many homoclinic solutions for a class of nonlinear difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 By using the Symmetric Mountain Pass Theorem, we establish some existence criteria to guarantee a class of nonlinear difference equation has infinitely many homoclinic orbits. Our conditions on the nonlinear term are rather relaxed and we generalize some
Peng Chen, Zhengmei Wang
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Homoclinic Orbits for First Order Hamiltonian Systems
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Y.H., Li, S.J.
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The first‐ and second‐order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first‐ and second‐order Benjamin–Ono partial differential
Wilson Osafo Apeanti +3 more
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On the so called rogue waves in nonlinear Schrodinger equations
Electronic Journal of Differential Equations, 2016 The mechanism of a rogue water wave is still unknown. One popular conjecture is that the Peregrine wave solution of the nonlinear Schrodinger equation (NLS) provides a mechanism. A Peregrine wave solution can be obtained by taking the infinite spatial
Y. Charles Li
doaj
Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations
, 2013 In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
Choudhury, S. Roy +2 more
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