Results 51 to 60 of about 717,589 (231)
Measure-Expansive Homoclinic Classes for C1 Generic Flows
Mathematics, 2020 In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
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Reduced and bifurcation analysis of intrinsically bursting neuron model
Electronic Research Archive, 2023 Intrinsic bursting neurons represent a common neuronal type that displays bursting patterns upon depolarization stimulation. These neurons can be described by a system of seven-dimensional equations, which pose a challenge for dynamical analysis.
Bo Lu, Xiaofang Jiang
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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
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Perturbed Li–Yorke homoclinic chaos
Electronic Journal of Qualitative Theory of Differential Equations, 2018 It is rigorously proved that a Li–Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely many almost periodic orbits out of ...
Marat Akhmet +3 more
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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
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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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Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity [PDF]
Communications in nonlinear science & numerical simulation, 2015 G. Leonov, N. Kuznetsov, T. Mokaev
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New Solutions of Breaking Soliton Equation Using Softmax Method
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan +3 more
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Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
Shock and Vibration, 1995 The method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation.
A. H. Nayfeh, C. Chin, D. T. Mook
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This research describes a predator–prey system that takes into account the generalized Allee effect, aiming to derive general conclusions applicable to specific Allee effect functions through the use of a generalized function. To make sure the suggested model was accurate from a mathematical perspective, we first investigated the solutions to determine
Gaji Zhuo +5 more
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