Results 61 to 70 of about 18,412 (196)
The zero-Hopf bifurcations of a four-dimensional hyperchaotic system
Journal of Mathematical Physics, 2021 We consider the four-dimensional hyperchaotic system ẋ=a(y−x), ẏ=bx+u−y−xz, ż=xy−cz, and u̇=−du−jx+exz, where a, b, c, d, j, and e are real parameters. This system extends the famous Lorenz system to four dimensions and was introduced in Zhou et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, 1750021 (2017).
Jaume Llibre, Yuzhou Tian
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Multiple bursting patterns in lateral habenula neurons: Experiments and computational model
The Journal of Physiology, Volume 604, Issue 8, Page 3396-3412, 15 April 2026.Abstract figure legend LHb neurons display a variety of bursting patterns, as well as being silent or displaying a tonic or irregular firing pattern. In a set of patch‐clamp experiments in ex vivo mouse lateral habenula (LHb), we were able to record from a number of cells showing characteristic bursts of a few distinguishable types.
Dmitry Fedorov +5 more
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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
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Local Bifurcations Analysis of a State-Dependent Delay Differential Equation
Моделирование и анализ информационных систем, 2015 In this paper, a first-order equation with state-dependent delay and with a nonlinear right-hand side is considered. Conditions of existence and uniqueness of the solution of initial value problem aresupposed to be executed.
V. O. Golubenets
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Nonlinear Dynamics of the Rock-Paper-Scissors Game with Mutations
, 2015 We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation ...
Strogatz, Steven H. +1 more
core +1 more source
Symmetric bifurcation analysis of synchronous states of time-delayed coupled Phase-Locked Loop oscillators [PDF]
, 2014 In recent years there has been an increasing interest in studying time-delayed coupled networks of oscillators since these occur in many real life applications.
Correa, Diego Paolo Ferruzzo +2 more
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Four-dimensional zero-Hopf bifurcation for a Lorenz-Haken system
Matemática ContemporâneaIn this work we study the periodic orbits which bifurcate from a zero-Hopf bifurcations that a Lorenz-Haken system in R 4 can exhibit. The main tool used is the averaging theory.
PEDRO SUAREZ, Sonia Alva
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Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
Symmetry, 2022 This article first studies the stability conditions of a Chua system depending on six parameters. After, using the averaging method, as well as the methods of the Gröbner basis and real solution classification, we provide sufficient conditions for the existence of three limit cycles bifurcating from a zero-Hopf equilibrium of the Chua system.
Bo Huang, Wei Niu, Shaofen Xie
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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Dynamical Behavior and Stability Analysis in a Hybrid Epidemiological-Economic Model with Incubation
Abstract and Applied Analysis, 2014 A hybrid SIR vector disease model with incubation is established, where susceptible host population satisfies the logistic equation and the recovered host individuals are commercially harvested.
Chao Liu, Wenquan Yue, Peiyong Liu
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