Results 101 to 110 of about 16,168 (183)

Homoclinic solutions for a class of second order non-autonomous systems

Electronic Journal of Differential Equations, 2009
This article concerns the existence of homoclinic solutions for the second order non-autonomous system $$ ddot q+A dot q-L(t)q+W_{q}(t,q)=0, $$ where $A$ is a skew-symmetric constant matrix, $L(t)$ is a symmetric positive definite matrix depending ...
Ziheng Zhang, Rong Yuan
doaj  

Homoclinic Points Calculation Method With Particle Swarm Optimization

IEEE Access
This paper proposes a novel algorithm to accurately calculate the coordinates of homoclinic points observed in discrete-time dynamical systems. The proposed method is based on the particle swarm optimization method. Compared with the current methods, the
Tatsumi Makino, Yuu Miino, Haruna Matsushita, Takuji Kousaka   +3 more
doaj   +1 more source

Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity

Boundary Value Problems
By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign once and ground-state homoclinic solutions ...
Xin Ou, Xingyong Zhang
doaj   +1 more source

Homoclinic bifurcations

, 2016
Previously obtained results from the study of homoclinic bifurcations in ordinary differential equations are presented. The standard technique of analysis involves the construction of a Poincaré map on a surface near to the homoclinic point. This map is the composition of an inside map, with behaviour linearized about the homoclinic point, together ...
Drysdale, D, Drysdale, David
openaire   +1 more source

Role of turbulent separatrix tangle in the improvement of the integrated pedestal and heat exhaust issue for stationary-operation tokamak fusion reactors

Nuclear Fusion
The magnetic separatrix surface is designed to provide the final and critical confinement to the hot stationary-operation core plasma in modern tokamak reactors in the absence of an external magnetic perturbation (MP) or transient magneto-hydrodynamic ...
C.S. Chang, S. Ku, R. Hager, J. Choi, D. Pugmire, S. Klasky, A. Loarte, R.A Pitts   +7 more
doaj   +1 more source

Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]

Proc Natl Acad Sci U S A, 2023
Pinsky T.
europepmc   +1 more source

Modelling dysfunction-specific interventions for seizure termination in epilepsy. [PDF]

NPJ Syst Biol Appl
Kamaraj AK, Szuromi MP.
europepmc   +1 more source

Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]

PLoS One
Beenish, Samreen M, Alshammari FS.
europepmc   +1 more source

Wavelength Selection for Periodic Travelling Waves: An Unsolved Problem. [PDF]

Bull Math Biol
Eigentler L, Sensi M.
europepmc   +1 more source

Temperature elevations can induce switches to homoclinic action potentials that alter neural encoding and synchronization. [PDF]

Nat Commun, 2022
Hesse J, Schleimer JH, Maier N, Schmitz D, Schreiber S.   +4 more
europepmc   +1 more source