Results 31 to 40 of about 401 (174)
Connected simple systems, transition matrices, and heteroclinic bifurcations [PDF]
Transactions of the American Mathematical Society, 1992 Given invariant sets A A , B
McCord, Christopher +1 more
openaire +2 more sources
Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback
Shock and Vibration, 2018 The heteroclinic bifurcation and chaos of a Duffing oscillator with forcing excitation under both delayed displacement feedback and delayed velocity feedback are studied by Melnikov method.
Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo
doaj +1 more source
Dynamics in a Predator–Prey Model with Cooperative Hunting and Allee Effect
Mathematics, 2021 This paper deals with a diffusive predator–prey model with two delays. First, we consider the local bifurcation and global dynamical behavior of the kinetic system, which is a predator–prey model with cooperative hunting and Allee effect.
Yanfei Du, Ben Niu, Junjie Wei
doaj +1 more source
Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Experimental Observation of Magnetic Island Heteroclinic Bifurcation in Tokamaks
Physical Review Letters, 2021 We report empirical observations of magnetic island heteroclinic bifurcation for the first time. This behavior is observed in interacting coupled 2/1 tearing modes in the core of a DIII-D tokamak plasma. Poincaré maps constrained by measured magnetic amplitudes and phasing show bifurcation from heteroclinic to homoclinic topology in the 2/1 island as ...
L. Bardóczi, T. E. Evans
openaire +3 more sources
Journal of Engineering, 2015 Based on the heteroclinic Shil’nikov theorem and switching control, a kind of multipiecewise linear chaotic system is constructed in this paper. Firstly, two fundamental linear systems are constructed via linearization of a chaotic system at its two ...
Chunyan Han, Fang Yuan, Xiaoyuan Wang
doaj +1 more source
A complex network perspective on brain disease
Biological Reviews, Volume 101, Issue 1, Page 364-399, February 2026.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
doaj +1 more source
Limit Cycles Bifurcated from Some Z4-Equivariant Quintic Near-Hamiltonian Systems
Abstract and Applied Analysis, 2014 We study the number and distribution of limit cycles of some planar Z4-equivariant quintic near-Hamiltonian systems. By the theories of Hopf and heteroclinic bifurcation, it is proved that the perturbed system can have 24 limit cycles with some new ...
Simin Qu +3 more
doaj +1 more source
Bifurcation analysis of a three dimensional system
Journal of Hebei University of Science and Technology, 2018 In order to enrich the stability and bifurcation theory of the three dimensional chaotic systems, taking a quadratic truncate unfolding system with the triple singularity equilibrium as the research subject, the existence of the equilibrium, the ...
Yongwen WANG, Zhiqin QIAO, Yakui XUE
doaj +1 more source