Results 21 to 30 of about 481 (186)
Global Bifurcation Behaviors and Control in a Class of Bilateral MEMS Resonators
Fractal and Fractional, 2022 The investigation of global bifurcation behaviors the vibrating structures of micro-electromechanical systems (MEMS) has received substantial attention. This paper considers the vibrating system of a typical bilateral MEMS resonator containing fractional
Yijun Zhu, Huilin Shang
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Homoclinic solutions for Hamiltonian system with impulsive effects
Advances in Difference Equations, 2018 In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such type of systems is revealed.
Jian Liu +3 more
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Homoclinic Orbits in Slowly Varying Oscillators
SIAM Journal on Mathematical Analysis, 1987 Perturbed Hamiltonian systems of the type \(\dot x=f(x)+\epsilon g(x,t,\lambda)\) are considered, where \(f: {\mathbb{R}}^ 3\to {\mathbb{R}}^ 2\), \(g: {\mathbb{R}}^{4+k}\to {\mathbb{R}}^ 3\) are sufficiently smooth, g(x,t,\(\lambda)\) is periodic in t, \(\lambda\) is a k-vector parameter, and \(\epsilon\) is a small positive parameter.
Wiggins, Stephen, Holmes, Philip
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Dynamical behaviour of a compound elastic pendulum
MATEC Web of Conferences, 2018 The aim of the paper is a comprehensive study of the compound elastic pendulum (CEP) with two degrees of freedom to point out the main complex (chaotic) dynamics that it can exhibit.
Nikolov Svetoslav, Zaharieva Daniela
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Peregrine Soliton as a Limiting Behavior of the Kuznetsov-Ma and Akhmediev Breathers
Frontiers in Physics, 2021 This article discusses a limiting behavior of breather solutions of the focusing nonlinear Schrödinger equation. These breathers belong to the family of solitons on a non-vanishing and constant background, where the continuous-wave envelope serves as a ...
Natanael Karjanto
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On homoclinic and heteroclinic orbits for Hamiltonian systems
Differential and Integral Equations, 1997 The authors give sufficient conditions for the existence of homoclinic and heteroclinic orbits of Hamiltonian systems \[ u''-L(t)u+V_u(t,u)=0,\tag{*} \] where \(L\) is a symmetric positive definite \(n\times n\) matrix and the potential \(V\) is supposed to be superquadratic in \(u\).
Korman, Philip, Lazer, Alan C., Li, Yi
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Mathematics, 2021 The existence of homoclinic orbits or heteroclinic cycle plays a crucial role in chaos research. This paper investigates the existence of the homoclinic orbits to a saddle-focus equilibrium point in several classes of three-dimensional piecewise affine ...
Yanli Chen, Lei Wang, Xiaosong Yang
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Pseudoholomorphic curves and multiplicity of homoclinic orbits [PDF]
Duke Mathematical Journal, 1995 The authors consider a Hamiltonian system of the form \[ \dot x = J(x) H'(t;x) \tag{1} \] on a compact, smooth Riemannian manifold \(M\). The function \(H : \mathbb{R} \times TM \to \mathbb{R}\) is smooth, 1-periodic in time and admits a point \(q_0 \in M\) such that \[ H(t; q_0, 0) = 0,\quad H'(t;q_0, 0) = 0, \] \[ H(t; q_0, p) \geq 0,\quad H(t;q,0) <
Cieliebak, Kai, Séré, Eric
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On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop
Tellus: Series A, Dynamic Meteorology and Oceanography, 2018 In this study, we discuss the role of the linear heating term and nonlinear terms associated with a non-linear feedback loop in the energy cycle of the three-dimensional (X–Y–Z) non-dissipative Lorenz model (3D-NLM), where (X, Y, Z) represent the ...
B.-W. Shen
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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