Results 111 to 120 of about 3,396,163 (214)

Multiplicity of homoclinic orbits in quasi-linear autonomous Lagrangian systems [PDF]

, 2020
The existence of at least two homoclinic orbits is proved by A. Ambrosetti and V. Coti Zelati (Multiple homoclinic orbits for a class of conservative systems, Rend. Sem. Mat. Univ.
B Buffoni, L Landry
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Homoclinic solutions in periodic partial difference equations

Advances in Nonlinear Analysis
By using critical point theory in combination with periodic approximations, we obtain novel sufficient conditions for the existence of nontrivial homoclinic solutions for a class of periodic partial difference equations with sign-changing mixed ...
Mei Peng, Zhou Zhan, Yu Jianshe
doaj   +1 more source

Homoclinic solution to zero of a non-autonomous, nonlinear, second order differential equation with quadratic growth on the derivative

Electronic Journal of Qualitative Theory of Differential Equations
This work aims to obtain a positive, smooth, even, and homoclinic to zero (i.e. zero at infinity) solution to a non-autonomous, second-order, nonlinear differential equation involving quadratic growth on the derivative.
Luiz Fernando Faria, Pablo Corrêa Junior   +1 more
doaj   +1 more source

Infinitely many homoclinic solutions for nonlinear p-Laplacian partial difference equations without Ambrosetti-Rabinowitz condition

Demonstratio Mathematica
In this paper, we explore the existence of infinitely many homoclinic solutions for nonlinear p-Laplacian partial difference equations by variational methods in combination with the Symmetric Mountain Pass Theorem.
Long Yuhua
doaj   +1 more source

Homoclinic-Doubling Cascades

, 1997
Cascades of period-doubling bifurcations have attracted much interest of researchers of dynamical systems in the past two decades as it is one of the routes to onset of chaos.
Hiroshi Kokubu, Vincent Naudot, Ale Jan Homburg   +2 more
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Numerical analysis of the method of freezing traveling waves [PDF]

, 2005
Thümmler V. Numerical analysis of the method of freezing traveling waves. Bielefeld (Germany): Bielefeld University; 2005.In der vorliegenden Arbeit werden spezielle Lösungen von parabolischen partiellen Differentialgleichungen (PDE) u_t = A u_xx + f(u ...
Thümmler, Vera
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Interfering solutions of a nonhomogeneous Hamiltonian system

Electronic Journal of Differential Equations, 2001
A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at infinity . A minimax argument is used to show that the equation has a positive homoclinic solution.
Gregory S. Spradlin
doaj  

A Numerical Bifurcation Function For Homoclinic Orbits

, 1998
. We present a numerical method to locate periodic orbits near homoclinic orbits. Using a method of X.-B. Lin and solutions of the adjoint variational equation, we get a bifurcation function for periodic orbits whose period is asymptotic to infinity on ...
Mei, Zhen, Ashwin, Peter, Peter Ashwin, Z. Mei   +3 more
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Multiple homoclinic solutions for indefinite second-order discrete Hamilton system with small perturbation

Electronic Journal of Differential Equations, 2015
In this article, we sutdy the multiplicity of homoclinic solutions to the perturbed second-order discrete Hamiltonian system $$ \Delta[p(n)\Delta u(n-1)]-L(n)u(n)+\nabla W(n,u(n))+\theta\nabla F(n,u(n))=0, $$ where L(n) and W(n,x) are neither ...
Liang Zhang, Xianhua Tang
doaj  

Positive Homoclinic solutions for a class of second order differential equations

, 1999
We study the existence of positive homoclinic solutions of the second order equation … Assuming that the coefficient functions are …, we prove the existence of a nontrivial positive homoclinic solution of Eq.
Minhós, Feliz, Grossinho, Maria do Rosário, Tersianc, Stepan   +2 more
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