Results 31 to 40 of about 5,207 (226)
Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay
Journal of Applied Mathematics, 2012 We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases.
Xiaojian Zhou, Xin Chen, Yongzhong Song
doaj +1 more source
Impedance Spectroscopy of Bifurcation Oscillations in S‐Type Self‐Oscillatory Devices
Advanced Physics Research, EarlyView.Impedance spectroscopy (IS) reveals stability regimes and bifurcation dynamics in S‐type self‐oscillatory devices. By linking nonlinear control theory with frequency‐domain measurements, experimental signatures of oscillations, entrainment, and phase locking are directly identified.
Gonzalo Rivera‐Sierra +5 more
wiley +1 more source
Generic Hopf–Neĭmark–Sacker bifurcations in feed-forward systems [PDF]
, 2008 We show that generic Hopf–Neĭmark–Sacker bifurcations occur in the dynamics of a large class of feed-forward coupled cell networks. To this end we present a framework for studying such bifurcations in parametrized families of perturbed forced oscillators
Vegter, Gert +5 more
core +1 more source
Abstract and Applied Analysis, 2011 This paper is concerned with a diffusive predator-prey system with Beddington-DeAngelis functional response and delay effect. By analyzing the distribution of the eigenvalues, the stability of the positive equilibrium and the existence of spatially ...
Yuzhen Bai, Xiaopeng Zhang
doaj +1 more source
Dynamical analysis of a competition and cooperation system with multiple delays
Boundary Value Problems, 2018 This paper is concerned with a competition and cooperation system with multiple constant delays relating to economic enterprise. The stability of the unique positive equilibrium is investigated and the existence of Hopf bifurcations is demonstrated by ...
Xin Zhang, Zizhen Zhang, Matthew J. Wade
doaj +1 more source
Multimode Phonon Lasing via Self‐Induced Optical Coherent Pumping
Laser &Photonics Reviews, EarlyView.A silicon optomechanical nanobeam generates self‐sustained phonon lasing in multiple competing mechanical modes via self‐pulsing, an intrinsic optical modulation arising from cavity nonlinearity. This self‐organized mechanism enables robust multi‐frequency operation spanning periodic, quasi‐periodic, and chaotic regimes without external modulation. The
David Alonso Tomás +5 more
wiley +1 more source
Symmetry-breaking in a rate model for a biped locomotion central pattern generator [PDF]
, 2014 The timing patterns of animal gaits are produced by a network of spinal neurons called a Central Pattern Generator (CPG). Pinto and Golubitsky studied a four-node CPG for biped dynamics in which each leg is associated with one flexor node and one ...
Ian Stewart, Stewart, Ian
core +1 more source
Limit cycle bifurcation from a zero-Hopf equilibrium for a class of 3-dimensional Kolmogorov systems
Partial Differential Equations in Applied MathematicsA zero-Hopf equilibrium point p of a 3-dimensional autonomous differential system in R3 is an equilibrium point such that the eigenvalues of the linear part of the system at p are 0 and ±ωi with ω≠0.
Chamseddine Bouaziz +2 more
doaj +1 more source
The Stability Criteria with Compound Matrices
Abstract and Applied Analysis, 2013 The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we ...
Yazhuo Zhang, Baodong Zheng
doaj +1 more source
Bautin bifurcations of a financial system
Electronic Journal of Qualitative Theory of Differential Equations, 2017 This paper is concerned with the qualitative analysis of a financial system. We focus our interest on the stability and cyclicity of the equilibria. Based on some previous results, some notes are given for a class of systems concerning focus quantities ...
Bo Sang, Bo Huang
doaj +1 more source