Results 41 to 50 of about 8,851 (211)

Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we obtain the multiplicity of homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign potentials. The concentration-compactness principle is applied to show the compactness. As a byproduct, we
Dong-Lun Wu
doaj   +1 more source

Chaotic dynamics in a simple bouncing ball model

, 2010
We study dynamics of a ball moving in gravitational field and colliding with a moving table. The motion of the limiter is assumed as periodic with piecewise constant velocity - it is assumed that the table moves up with a constant velocity and then moves
Okninski, Andrzej, Radziszewski, Boguslaw   +1 more
core   +1 more source

Global bifurcation of homoclinic solutions

Journal of Differential Equations
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporary functional analytical methods from the abstract bifurcation theory for Fredholm operators with tools ...
Iacopo P. Longo, Christian Pötzsche, Robert Skiba   +2 more
openaire   +2 more sources

Positive homoclinic solutions to some Schrödinger type equations

Differential and Integral Equations, 2016
By means of variational methods we prove the existence of a positive, homoclinic solution to an equation of the kind u''=au-bu^p, where p>1, and both coefficients a(x), b(x) are positive and asymptotically constant. Our main result requires a control from above on the ratios .between the supremum of a(x) and its limit at infinity and between the limit ...
GAVIOLI, Andrea, Sanchez, Luis
openaire   +3 more sources

Chaos in Static Axisymmetric Spacetimes I : Vacuum Case

, 1996
We study the motion of test particle in static axisymmetric vacuum spacetimes and discuss two criteria for strong chaos to occur: (1) a local instability measured by the Weyl curvature, and (2) a tangle of a homoclinic orbit, which is closely related to ...
Aizawa Y, Arnold V I, Azuma T, Bicak J, Biesiada M, Bombelli L, Cerjan C, Charlier C L, Contopoulos G, Contopoulos G, Curzon H E J, D Hobill, Dettmann C P, Eckhardt B, Karas V, Kei-ichi Maeda, Kramar D, Maeda K, Misner C W, Moeckel R, Ong C P, Press W, Rugh S E, Shimada I, Shingo Suzuki, Sota Y, Szydlowski M, Toda M, Varvoglis H, Wiggins S, Yasuhide Sota, Zipoy M   +31 more
core   +1 more source

Separatrix splitting at a Hamiltonian $0^2 i\omega$ bifurcation [PDF]

, 2014
We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a double zero one.
A Giorgilli, A Mielke, AR Champneys, AR Champneys, C Grotta Ragazzo, D Treschev, E Lombardi, G Iooss, G Iooss, G Iooss, G L Alfimov, H W Broer, I Baldomá, I Baldomá, I Baldomá, J Llibre, J Moser, Lev Lerman, LM Lerman, LM Lerman, M Haragus, O Koltsova, O Koltsova, OYu Koltsova, T Jézéquel, V G Gelfreich, V G Gelfreich, V G Gelfreich, V Gelfreich, V Gelfreich, V Gelfreich, Vassili Gelfreich, VG Gelfreich   +32 more
core   +1 more source

Periodic Solutions and Homoclinic Bifurcations of Two Predator-Prey Systems with Nonmonotonic Functional Response and Impulsive Harvesting

Journal of Applied Mathematics, 2014
Two predator-prey models with nonmonotonic functional response and state-dependent impulsive harvesting are formulated and analyzed. By using the geometry theory of semicontinuous dynamic system, we obtain the existence, uniqueness, and stability of the ...
Mingzhan Huang, Xinyu Song
doaj   +1 more source

Sustained resonance: a binary system perturbed by gravitational radiation [PDF]

, 1999
The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves via gravitational radiation ...
Chicone, C., Mashhoon, B., Retzloff, D. G.   +2 more
core   +3 more sources

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source

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
doaj   +1 more source