Results 41 to 50 of about 2,258 (187)
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
Critical Stokes number for the capture of inertial particles by recirculation cells in 2D quasi-steady flows [PDF]
, 2016 Inertial particles are often observed to be trapped, temporarily or permanently, by recirculation cells which are ubiquitous in natural or industrial flows.
Angilella, Jean-Régis, Verjus, Romuald
core +3 more sources
Nonlinear semelparous Leslie models
Mathematical Biosciences and Engineering, 2005 In this paper we consider the bifurcations that occur at the trivial equilibrium of a general class of nonlinear Leslie matrix models for the dynamics of a structured population in which only the oldest class is reproductive.
J. M. Cushing
doaj +1 more source
Quasiperiodic, periodic, and slowing-down states of coupled heteroclinic cycles [PDF]
, 2012 We investigate two coupled oscillators, each of which shows an attracting heteroclinic cycle in the absence of coupling. The two heteroclinic cycles are nonidentical. Weak coupling can lead to the elimination of the slowing-down state that asymptotically
Cross, M. C. +3 more
core +1 more source
AIP Advances, 2016 This paper addresses chaos control of the micro-electro- mechanical resonator by using adaptive dynamic surface technology with extended state observer.
Shaohua Luo, Quanping Sun, Wei Cheng
doaj +1 more source
Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
, 2012 A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A. +19 more
core +1 more source
Complexity, Volume 2026, Issue 1, 2026.This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
wiley +1 more source
Closed geodesics and the first Betti number
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
wiley +1 more source
Resonance Zones and Lobe Volumes for Volume-Preserving Maps
, 2008 We study exact, volume-preserving diffeomorphisms that have heteroclinic connections between a pair of normally hyperbolic invariant manifolds. We develop a general theory of lobes, showing that the lobe volume is given by an integral of a generating ...
Abraham R +11 more
core +2 more sources
Nonlinear dynamics and band transport in a superlattice driven by a plane wave [PDF]
, 2017 A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices and cold atoms
Alekseev, K. N. +4 more
core +2 more sources