Elements of applied bifurcation theory (2nd ed.)

Implementation of Hopf and double-Hopf continuation using bordering methods

ACM Transactions on Mathematical Software (TOMS)

Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

ACM Transactions on Mathematical Software (TOMS)

Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant

Physica D

Pulse-Frequency Characteristics in Bifurcation Problems

Automation and Remote Control

Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons

Neural Computation

On manifolds of connecting orbits in discretizations of dynamical systems

Nonlinear Analysis: Theory, Methods & Applications

Controlling Oscillatory Behaviour of a Two Neuron Recurrent Neural Network Using Inputs

ICANN '01 Proceedings of the International Conference on Artificial Neural Networks

Study of Chaos in a Simple Discrete Recurrence Neural Network

IWANN '01 Proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks: Connectionist Models of Neurons, Learning Processes and Artificial Intelligence-Part I

Cusp and generalized flip bifurcations under higher degree conditions

Nonlinear Analysis: Theory, Methods & Applications

MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs

ACM Transactions on Mathematical Software (TOMS)

A Current-Mode Circuit Implementing Chaotic Continuous Piecewise-Affine Markov Maps

MICRONEURO '99 Proceedings of the 7th International Conference on Microelectronics for Neural, Fuzzy and Bio-Inspired Systems

Discontinuous fold bifurcations

Systems Analysis Modelling Simulation - Special issue: Dynamical systems/theory and applications

Cl_matcont: a continuation toolbox in Matlab

Proceedings of the 2003 ACM symposium on Applied computing

Cyclic Economic Processes in Systems with Monopsonic Labor Markets

Cybernetics and Systems Analysis

An environment for computing topological entropy for skew-product transformations

ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering

Newton-Krylov continuation of periodic orbits for Navier-Stokes flows

Journal of Computational Physics

Stability and bifurcation analysis on a discrete-time neural network

Journal of Computational and Applied Mathematics

Some global bifurcations related to the appearance of closed invariant curves

Mathematics and Computers in Simulation

Singular Homoclinic Bifurcations in a Planar Fast-Slow System

Journal of Dynamical and Control Systems

Computation of the Phase Response Curve: A Direct Numerical Approach

Neural Computation

On the Phase Reduction and Response Dynamics of Neural Oscillator Populations

Neural Computation

Stability analysis of a single inductor dual switching dc-dc converter

Mathematics and Computers in Simulation - Special issue: Modeling and simulation of electric machines, converters and systems

Energy efficient and robust rhythmic limb movement by central pattern generators

Neural Networks

Generation of Hopf bifurcations within a power system model through washout filters

MIC'06 Proceedings of the 25th IASTED international conference on Modeling, indentification, and control

Impulsive state feedback control of a predator-prey model

Journal of Computational and Applied Mathematics

Parameter space structure of continuous-time recurrent neural networks

Neural Computation

Bifurcation analysis of Jansen's neural mass model

Neural Computation

Analysis and design of echo state networks

Neural Computation

Use of an interval global optimization tool for exploring feasibility of batch extractive distillation

Journal of Global Optimization

Stochastic dynamics of a finite-size spiking neural network

Neural Computation

Computational framework for investigation of aircraft nonlinear dynamics

Advances in Engineering Software

Bifurcation analysis in a discrete-time single-directional network with delays

Neurocomputing

Generating complete bifurcation diagrams using a dynamic environment particle swarm optimization algorithm

Journal of Artificial Evolution and Applications - Particle Swarms: The Second Decade

On special types of two- and three-parametric bifurcations in piecewise-smooth dynamical systems

NOLASC'05 Proceedings of the 4th WSEAS International Conference on Non-linear Analysis, Non-linear Systems and Chaos

Stable cycles in a Cournot duopoly model of Kopel

Journal of Computational and Applied Mathematics

From Hopf to Neimark Sacker bifurcation: a computational algorithm

International Journal of Computing Science and Mathematics

E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics

Computational Economics

On torus Burth bifurcations in the pulse-width system

Automation and Remote Control

Bifurcation analysis on a discrete-time tabu learning model

Journal of Computational and Applied Mathematics

Symbolic mathematical computing of bifurcations in dynamical systems

Journal of Computational Methods in Sciences and Engineering - Computational and Mathematical Methods for Science and Engineering Conference 2002 - CMMSE-2002

Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems

AB '08 Proceedings of the 3rd international conference on Algebraic Biology

Analysis and Visualization of the Dynamics of Recurrent Neural Networks for Symbolic Sequences Processing

ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part II

Bifurcations in Discrete-Time Delayed Hopfield Neural Networks of Two Neurons

ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part II

Two-parameter bifurcation analysis of firing activities in the Chay neuronal model

Neurocomputing

Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback

Automatica (Journal of IFAC)

A Definition of Cellular Interface Problems

Membrane Computing

Analysis of the biological clock of Neurospora

Journal of Computational and Applied Mathematics

Neimark-Sacker bifurcation in an internet congestion control model

ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers

Boundary Conditions for Numerical Stability Analysis of Periodic Solutions of Ordinary Differential Equations

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Limit Cycles and Bifurcations in a Biological Clock Model

Large-Scale Scientific Computing

A model in a coupled system of simple neural oscillators with delays

Journal of Computational and Applied Mathematics

Bifurcation analysis of a dynamic duopoly model with heterogeneous costs and behavioural rules

Mathematics and Computers in Simulation

The study of some discrete IS-LM models with tax revenues and time delay

WSEAS Transactions on Mathematics

Neimark-sacker and flip bifurcations in a discrete-time dynamic system for internet congestion

WSEAS Transactions on Mathematics

Geometric dynamics of d'Onofrio model of tumor-immune system competition

MAASE'09 Proceedings of the 2nd WSEAS international conference on Multivariate analysis and its application in science and engineering

Searching bifurcations in high-dimensional parameter space via a feedback loop breaking approach

International Journal of Systems Science

A discrete IS-LM model with tax revenues

MCBE'09 Proceedings of the 10th WSEAS international conference on Mathematics and computers in business and economics

Neimark-Sacker bifurcation in an discrete time dynamic system for internet congestion

MCBE'09 Proceedings of the 10th WSEAS international conference on Mathematics and computers in business and economics

A Bisection-Like Algorithm for Branch Switching at a Simple Branch Point

Journal of Scientific Computing

Dynamics and synchronization of numerical solutions of the Burgers equation

Journal of Computational and Applied Mathematics

Non-linear analysis of the automotive suspensions with neo-Hookean elements

NOLASC'09 Proceedings of the 8th WSEAS international conference on Non-linear analysis, non-linear systems and chaos

PID control of a chaotic system: An application to an epidemiological model

Automatica (Journal of IFAC)

Asymmetrical oscillations in digitally controlled power-factor-correction boost converters

IEEE Transactions on Circuits and Systems II: Express Briefs

Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture

Neural Networks

Simple switching control for hybrid dynamics of a planar hopping robot

CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications

Bifurcation analysis of delay-induced periodic oscillations

Journal of Computational and Applied Mathematics

Leader-follower dynamics for unicycles

ACC'09 Proceedings of the 2009 conference on American Control Conference

Dynamics of a discrete-time bidirectional ring of neurons with delay

IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks

Stability and bifurcation analysis on a discrete-time neural network

Journal of Computational and Applied Mathematics

The Hopf bifurcation analysis on a time-delayed recurrent neural network in the frequency domain

Neurocomputing

Computational algebra for bifurcation theory

Journal of Symbolic Computation

Stability analysis of a single inductor dual switching dc-dc converter

Mathematics and Computers in Simulation

Input space bifurcation manifolds of recurrent neural networks

Neurocomputing

Analysis of NMDA-dependent voltage bistability in thin dendritic compartments

Neurocomputing

A hyperchaotic system from the Rabinovich system

Journal of Computational and Applied Mathematics

Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module

BIRD'07 Proceedings of the 1st international conference on Bioinformatics research and development

Numerical continuation of fold bifurcations of limit cycles in MATCONT

ICCS'03 Proceedings of the 1st international conference on Computational science: PartI

Bifurcation analysis on a multimachine power system model

IEEE Transactions on Circuits and Systems Part I: Regular Papers

Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation

Applied Numerical Mathematics

The Bogdanov-Takens bifurcation analysis on a three dimensional recurrent neural network

Neurocomputing

Dynamics and stability issues of a single-inductor dual-switching DC-DC converter

IEEE Transactions on Circuits and Systems Part I: Regular Papers

A degenerate case of Andronov-Hopf bifurcation at infinity

Automation and Remote Control

Qualitative analysis of ODEs describing cavitation erosion

MACMESE'10 Proceedings of the 12th WSEAS international conference on Mathematical and computational methods in science and engineering

Numerical simulations for dynamic stochastic models of internet networks

MMACTEE'09 Proceedings of the 11th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering

Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems

SIAM Journal on Matrix Analysis and Applications

Original article: Complex dynamics associated with the appearance/disappearance of invariant closed curves

Mathematics and Computers in Simulation

Stability of quasi-periodic orbit in discrete recurrent neural network

CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control

Signaling games: dynamics of evolution and learning

Language, games, and evolution

Robust stability and instability of biochemical networks with parametric uncertainty

Automatica (Journal of IFAC)

On the stability of two-chunk file-sharing systems

Queueing Systems: Theory and Applications

IDFC: A new approach to control bifurcation in TCP/RED

Journal of Network and Computer Applications

Homoclinic and Heteroclinic Bifurcations in an Overlapping Generations Model with Credit Market Imperfection

Computational Economics

Semi-algebraic description of the equilibria of dynamical systems

CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing

The Geometry of Generic Sliding Bifurcations

SIAM Review

Finite-size and correlation-induced effects in mean-field dynamics

Journal of Computational Neuroscience

Path following by SVD

ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV

Neural mass activity, bifurcations, and epilepsy

Neural Computation

Reliable computation of equilibrium states and bifurcations in nonlinear dynamics

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

Stability and bifurcation of a three-dimension discrete neural network model with delay

ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I

Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB

ACM Transactions on Mathematical Software (TOMS)

A study of local bifurcations of forced oscillations in dynamical systems

Automation and Remote Control

Bogdanov-Takens bifurcation in a single inertial neuron model with delay

Neurocomputing

Deterministic and stochastic dynamic model with delays of the financial crises contagions

ASM'12 Proceedings of the 6th international conference on Applied Mathematics, Simulation, Modelling

The study of some stochastic macroeconomic models

ACACOS'12 Proceedings of the 11th WSEAS international conference on Applied Computer and Applied Computational Science

2012 Special Issue: Nonlinear dynamics and chaos in fractional-order neural networks

Neural Networks

Bifurcation analysis of a model for biological control

Mathematical and Computer Modelling: An International Journal

Modelling by a planar map: Lyapunov-type numbers in the presence of spiral points

Mathematical and Computer Modelling: An International Journal

Exponential observer design for discrete-time nonlinear systems with real parametric uncertainty

Mathematical and Computer Modelling: An International Journal

Discontinuous bifurcations of periodic solutions

Mathematical and Computer Modelling: An International Journal

Comparison of recurrence quantification methods for the analysis of temporal and spatial chaos

Mathematical and Computer Modelling: An International Journal

Neural bistability and amplification mediated by NMDA receptors: Analysis of stationary equations

Neurocomputing

Influence of period-doubling bifurcations in the appearance of border collisions for a ZAD-strategy-controlled buck converter

International Journal of Circuit Theory and Applications

Mixed-Mode Oscillations with Multiple Time Scales

SIAM Review

Hopf-pitchfork bifurcation in an inertial two-neuron system with time delay

Neurocomputing

Continuation of oscillatory patterns in a road traffic model of three cars

Mathematics and Computers in Simulation

Chaotic dynamics in quadratic systems with singular linear part

Cybernetics and Systems Analysis

RETRACTED: Bifurcations and chaos in a discrete-time-delayed Hopfield neural network with ring structures and different internal decays

Neurocomputing

Original article: Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge

Mathematics and Computers in Simulation

Learning how to select an action: a computational model

ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I

Bifurcation analysis applied to a model of motion integration with a multistable stimulus

Journal of Computational Neuroscience

Preservation of Hopf bifurcation for neutral delay-differential equations by θ-methods

Journal of Computational and Applied Mathematics

Continuation-based numerical detection of after-depolarization and spike-adding thresholds

Neural Computation

Hopf-Pitchfork bifurcation in a simplified BAM neural network model with multiple delays

Journal of Computational and Applied Mathematics

Bifurcation of a discrete-time cohen-grossberg-type BAM neural network with delays

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I

Stability and Hopf bifurcation in an unidirectional ring of n neurons with distributed delays

Neurocomputing

Original article: Bifurcation of discontinuous limit cycles of the Van der Pol equation

Mathematics and Computers in Simulation

Study of structural noise owing to nonlinear behavior of capacitive microphones

Microelectronics Journal

Bifurcation study of a neural field competition model with an application to perceptual switching in motion integration

Journal of Computational Neuroscience