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An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks

https://doi.org/10.1137/test2
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-4206-2openalex-snapshot
Delay Equations
inferredcites →https://doi.org/10.1007/978-1-4612-4342-7openalex-snapshot
Introduction to Functional Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-93107-9openalex-snapshot
Time Lags in Biological Models
inferredcites →https://doi.org/10.1007/bf01009349openalex-snapshot
Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
inferredcites →https://doi.org/10.1007/bf02206623openalex-snapshot
Classification and Unfoldings of 1:2 Resonant Hopf Bifurcation
inferredcites →https://doi.org/10.1007/bf02218819openalex-snapshot
Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback
inferredcites →https://doi.org/10.1016/0020-7462(95)00043-7openalex-snapshot
A perturbation-incremental method for strongly non-linear oscillators
inferredcites →https://doi.org/10.1016/0167-2789(95)00203-0openalex-snapshot
Delay induced periodicity in a neural netlet of excitation and inhibition
inferredcites →https://doi.org/10.1016/s0005-1098(01)00265-5openalex-snapshot
Effects of small delays on stability of singularly perturbed systems
inferredcites →https://doi.org/10.1016/s0022-0396(02)00179-1openalex-snapshot
Restrictions and unfolding of double Hopf bifurcation in functional differential equations
inferredcites →https://doi.org/10.1016/s0022-0396(03)00092-5openalex-snapshot
Versal unfoldings for linear retarded functional differential equations
inferredcites →https://doi.org/10.1016/s0022-247x(02)00023-9openalex-snapshot
Stability and asymptotic behaviour of a two-dimensional differential system with delay
inferredcites →https://doi.org/10.1016/s0167-2789(00)00086-5openalex-snapshot
Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
inferredcites →https://doi.org/10.1016/s0167-2789(00)00197-4openalex-snapshot
Bifurcation analysis on a two-neuron system with distributed delays
inferredcites →https://doi.org/10.1016/s0167-2789(01)00337-2openalex-snapshot
Bifurcations in a planar system of differential delay equations modeling neural activity
inferredcites →https://doi.org/10.1016/s0167-2789(02)00423-2openalex-snapshot
Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
inferredcites →https://doi.org/10.1016/s0167-2789(03)00049-6openalex-snapshot
Effects of time delayed position feedback on a van der Pol–Duffing oscillator
inferredcites →https://doi.org/10.1016/s0960-0779(02)00199-6openalex-snapshot
Bifurcations and chaos in a predator–prey model with delay and a laser-diode system with self-sustained pulsations
inferredcites →https://doi.org/10.1016/s1007-5704(02)00007-2openalex-snapshot
Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
inferredcites →https://doi.org/10.1017/s030821050003033xopenalex-snapshot
Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points
inferredcites →https://doi.org/10.1023/a:1012932605171openalex-snapshot
The Response of a Parametrically Excited van der Pol Oscillator to a Time Delay State Feedback
inferredcites →https://doi.org/10.1023/a:1012990608060openalex-snapshot
Subcritical Hopf Bifurcation in the Delay Equation Model for Machine Tool Vibrations
inferredcites →https://doi.org/10.1023/a:1015207726565openalex-snapshot
Periodic Response and Chaos in Nonlinear Systems with Parametric Excitation and Time Delay
inferredcites →https://doi.org/10.1023/a:1021220117746openalex-snapshot
Multiple Scales without Center Manifold Reductions for Delay Differential Equations near Hopf Bifurcations
inferredcites →https://doi.org/10.1023/a:1022622101608openalex-snapshot
Resonant Hopf–Hopf Interactions in Delay Differential Equations
inferredcites →https://doi.org/10.1103/physrevlett.79.2911openalex-snapshot
Multistability in Coupled Oscillator Systems with Time Delay
inferredcites →https://doi.org/10.1103/physrevlett.82.648openalex-snapshot
Time Delay in the Kuramoto Model of Coupled Oscillators
inferredcites →https://doi.org/10.1103/physrevlett.86.2265openalex-snapshot
Control of Chaos via an Unstable Delayed Feedback Controller
inferredcites →https://doi.org/10.1115/1.2831178openalex-snapshot
Perturbation Methods in Nonlinear Dynamics—Applications to Machining Dynamics
inferredcites →https://doi.org/10.1142/s0218127401002079openalex-snapshot
SOME BIFURCATION DIAGRAMS FOR LIMIT CYCLES OF QUADRATIC DIFFERENTIAL SYSTEMS
inferredcites →https://doi.org/10.1142/s0218127498001558openalex-snapshot
Transmission of Signals via Synchronization of Chaotic Time-Delay Systems
inferredcites →https://doi.org/10.1142/s0218127499000675openalex-snapshot
HOPF BIFURCATION OF TIME-DELAY LIENARD EQUATIONS
inferredcites →https://doi.org/10.1142/s0218127499001565openalex-snapshot
CHAOTIC COMMUNICATION USING TIME-DELAYED OPTICAL SYSTEMS

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-642-04277-5_54openalex-snapshot
Delay-Induced Hopf Bifurcation and Periodic Solution in a BAM Network with Two Delays
inferred← citeshttps://doi.org/10.1007/s10409-010-0388-6openalex-snapshot
Delayed feedback control experiments on some flexible structures
inferred← citeshttps://doi.org/10.1007/s11071-010-9670-1openalex-snapshot
Hopf and resonant double Hopf bifurcation in congestion control algorithm with heterogeneous delays
inferred← citeshttps://doi.org/10.1007/s11071-010-9924-yopenalex-snapshot
Nonlinear analysis of chatter vibration in a cylindrical transverse grinding process with two time delays using a nonlinear time transformation method
inferred← citeshttps://doi.org/10.1007/s11071-012-0385-3openalex-snapshot
Nonlinear chatter with large amplitude in a cylindrical plunge grinding process
inferred← citeshttps://doi.org/10.1007/s11431-009-0052-1openalex-snapshot
A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems
inferred← citeshttps://doi.org/10.1109/tnn.2009.2038911openalex-snapshot
Computation of Synchronized Periodic Solution in a BAM Network With Two Delays
inferred← citeshttps://doi.org/10.1142/s0129065712002980openalex-snapshot
WEAK RESONANT DOUBLE HOPF BIFURCATIONS IN AN INERTIAL FOUR-NEURON MODEL WITH TIME DELAY
inferred← citeshttps://doi.org/10.1142/s0218127411029100openalex-snapshot
AN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKS
inferred← citeshttps://doi.org/10.1155/2009/759363openalex-snapshot
Double Hopf Bifurcation with Strong Resonances in Delayed Systems with Nonlinerities
inferred← citeshttps://doi.org/10.5890/jand.2012.05.004openalex-snapshot
Asymptotic Analysis of the Hopf-Hopf Bifurcation in a Time-delay System
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