Results 191 to 200 of about 864 (203)

Homoclinic orbits for a class of Hamiltonian systems

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990
SynopsisConsider the second order Hamiltonian system:where q ∊ ℝn and V ∊ C1 (ℝ ×ℝn ℝ) is T periodic in t. Suppose Vq (t, 0) = 0, 0 is a local maximum for V(t,.) and V(t, x) | x| → ∞ Under these and some additional technical assumptions we prove that (HS) has a homoclinic orbit q emanating from 0.
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Homoclinic Solutions for a Class of Second Order Hamiltonian Systems

Results in Mathematics, 2011
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Yuan, Rong, Zhang, Ziheng
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Stably average shadowable homoclinic classes

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chaos in a class of piecewise nonlinear systems with homoclinic cycles

Chaos: An Interdisciplinary Journal of Nonlinear Science
It is still a challenge to accurately predict homoclinic cycles and chaos in smooth nonlinear systems, letting alone for non-smooth objects. This paper analytically investigates occurrence of homoclinic cycles in a class of three-dimensional piecewise nonlinear systems governed by a nonlinear subsystem and an affine one, which under some conditions can
Kai Lu, Wenjing Xu
openaire   +3 more sources

Homoclinic solutions for a class of second-order -Laplacian differential systems with delay

Nonlinear Analysis: Real World Applications, 2011
Shiping Lu
exaly  

Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2010
Dong-Lun Wu, Xing-Ping Wu, Chun-Lei Tang   +2 more
exaly  

A new class of 3-dimensional piecewise affine systems with homoclinic orbits

Discrete and Continuous Dynamical Systems, 2016
Tiantian Wu, Xiao-Song Yang
exaly  

Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems

Nonlinear Analysis: Theory, Methods & Applications, 1995
exaly  

Homoclinic solutions for a class of asymptotically quadratic Hamiltonian systems

Nonlinear Analysis: Real World Applications, 2010
Ziheng Zhang
exaly  

Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems

Journal of Mathematical Analysis and Applications, 2014
exaly