On the public citation graph
On the theory and application of the Hopf-Friedrichs bifurcation theory
0 signed · 144 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/bf00253039openalex-snapshot
Bifurcating time periodic solutions and their stability
inferredcites →https://doi.org/10.1016/0016-0032(63)90670-7openalex-snapshot
Oscillations in nonlinear systems
inferredcites →https://doi.org/10.1016/0022-0396(68)90015-6openalex-snapshot
The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system
inferredcites →https://doi.org/10.1016/0022-0396(73)90062-4openalex-snapshot
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
inferredcites →https://doi.org/10.1016/0022-5193(72)90157-9openalex-snapshot
Co-operative components, spatial localization and oscillatory cellular dynamics
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6009-xopenalex-snapshot
Foundations of Modern Analysis
inferredcites →https://doi.org/10.1070/rm1962v017n02abeh001127openalex-snapshot
THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
inferredcites →https://doi.org/10.1216/rmj-1973-3-2-203openalex-snapshot
Branching of solutions of nonlinear equations
inferredcites →https://doi.org/10.21236/ad0725751openalex-snapshot
Applications of Alternative Problems
inferredcites →https://doi.org/10.2307/2315010openalex-snapshot
Stability and Asymptotic Behavior of Differential Equations.
inferredcites →https://doi.org/10.4153/cmb-1977-016-xopenalex-snapshot
On a Bifurcation Theorem of Hopf and Friedrichs*
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/9780470059432.ch4openalex-snapshot
Introduction to Hopf Bifurcation Theory
inferred← citeshttps://doi.org/10.1002/9783527628674.ch2openalex-snapshot
Dynamical Systems, Bifurcations, and the Chapman–Enskog Method
inferred← citeshttps://doi.org/10.1002/ceat.200800184openalex-snapshot
An Approach for Achieving Unstable Convergence for Non‐Isothermal CSTRs
inferred← citeshttps://doi.org/10.1002/zamm.19800600104openalex-snapshot
Andronov‐Hopf‐Bifurkation im Falle stetiger Parameterabhängigkeit
inferred← citeshttps://doi.org/10.1006/jsvi.2001.3711openalex-snapshot
HOPF BIFURCATION ANALYSIS OF A ROTOR/SEAL SYSTEM
inferred← citeshttps://doi.org/10.1007/978-1-4614-6992-6openalex-snapshot
Bifurcation Theory of Functional Differential Equations
inferred← citeshttps://doi.org/10.1007/978-1-4614-6992-6_1openalex-snapshot
Introduction to Dynamic Bifurcation Theory
inferred← citeshttps://doi.org/10.1007/978-1-4614-6992-6_5openalex-snapshot
Lyapunov–Schmidt Reduction
inferred← citeshttps://doi.org/10.1007/978-1-4614-6992-6_7openalex-snapshot
Bifurcation in Symmetric FDEs
inferred← citeshttps://doi.org/10.1007/978-3-540-69741-1_9openalex-snapshot
Self-Excited Vibrations from Interaction of Structures and Fluid
inferred← citeshttps://doi.org/10.1007/bf00045469openalex-snapshot
Cyclic motions near a Hopf bifurcation of a four-dimensional system
inferred← citeshttps://doi.org/10.1007/bf00160189openalex-snapshot
Quantitative analysis of the Hopf bifurcation in the Goodwin n-dimensional metabolic control system
inferred← citeshttps://doi.org/10.1007/bf00275858openalex-snapshot
The computer-aided bifurcation analysis of predator-prey models
inferred← citeshttps://doi.org/10.1007/bf00275897openalex-snapshot
The effects of cell density and metabolite flux on cellular dynamics
inferred← citeshttps://doi.org/10.1007/bf00276105openalex-snapshot
Spatial patterns in coupled biochemical oscillators
inferred← citeshttps://doi.org/10.1007/bf00280827openalex-snapshot
The Hopf Bifurcation Theorem in infinite dimensions
inferred← citeshttps://doi.org/10.1007/bf00340337openalex-snapshot
Generation of the nervous impulse and periodic oscillations
inferred← citeshttps://doi.org/10.1007/bf01165179openalex-snapshot
Mathematical analysis of the smallest chemical reaction system with Hopf bifurcation
inferred← citeshttps://doi.org/10.1007/bf01394451openalex-snapshot
Numerical solution of bifurcation problems for ordinary differential equations
inferred← citeshttps://doi.org/10.1007/bf02458882openalex-snapshot
Parameter-dependent transitions and the optimal control of dynamical diseases
inferred← citeshttps://doi.org/10.1007/bf02462366openalex-snapshot
Hypothalamic regulation of pituitary secretion of luteinizing hormone—II Feedback control of gonadotropin secretion
inferred← citeshttps://doi.org/10.1007/bf02547925openalex-snapshot
Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
inferred← citeshttps://doi.org/10.1007/bfb0064495openalex-snapshot
Nontrivial periodic solutions of some volterra integral equations
inferred← citeshttps://doi.org/10.1007/bfb0087336openalex-snapshot
Nonlinear diffusion equations in biology
inferred← citeshttps://doi.org/10.1007/s10867-012-9284-6openalex-snapshot
Stage-structured cannibalism with delay in maturation and harvesting of an adult predator
inferred← citeshttps://doi.org/10.1007/s11071-015-2425-2openalex-snapshot
Bifurcation analysis of high-speed railway wheel-set
inferred← citeshttps://doi.org/10.1007/s11071-025-11342-6openalex-snapshot
Hopf bifurcation analysis of actuated bogie with multiple delays
inferred← citeshttps://doi.org/10.1007/s11538-007-9235-8openalex-snapshot
The Role of Viral Infection in Pest Control: A Mathematical Study
inferred← citeshttps://doi.org/10.1016/0009-2509(76)85058-0openalex-snapshot
The classification of the dynamic behavior of continuous stirred tank reactors—influence of reactor residence time
inferred← citeshttps://doi.org/10.1016/0009-2509(77)80067-5openalex-snapshot
On the dynamic behaviour of a class of homogeneous continuous stirred tank polymerization reactors
inferred← citeshttps://doi.org/10.1016/0009-2509(80)85091-3openalex-snapshot
Structure analysis of periodically controlled chemical processes
inferred← citeshttps://doi.org/10.1016/0009-2509(82)80068-7openalex-snapshot
Isothermal oscillations in surface reactions with coverage independent parameters
inferred← citeshttps://doi.org/10.1016/0009-2509(82)80155-3openalex-snapshot
The bifurcation behavior of tubular reactors
inferred← citeshttps://doi.org/10.1016/0009-2509(84)80128-1openalex-snapshot
Multi-scale analysis of exotic dynamics in surface catalyzed reactions—I
inferred← citeshttps://doi.org/10.1016/0009-2509(84)80129-3openalex-snapshot
Multi-scale analysis of exotic dynamics in surface catalyzed reactions—II
inferred← citeshttps://doi.org/10.1016/0009-2509(87)80077-5openalex-snapshot
A linear algebraic method for analysing Hopf bifurcation of chemical reaction systems
inferred← citeshttps://doi.org/10.1016/0009-2509(89)80015-6openalex-snapshot
Analysis of the multiple hope bifurcation phenomena in a CSTR with two consecutive reactions—the singlularity theory approach
inferred← citeshttps://doi.org/10.1016/0009-2509(90)87062-wopenalex-snapshot
Bifurcations in chemical reactors via feedback system theory
inferred← citeshttps://doi.org/10.1016/0009-2509(90)87101-wopenalex-snapshot
Bifurcations and degeneracies in a CSTR with reactions A→B→C: frequency domain analysis
inferred← citeshttps://doi.org/10.1016/0009-2614(93)80091-3openalex-snapshot
Asymptotically stable limit cycles in a model of glycolytic oscillations
inferred← citeshttps://doi.org/10.1016/0020-7462(80)90044-xopenalex-snapshot
A two-timing formalism for autonomous oscillations
inferred← citeshttps://doi.org/10.1016/0020-7462(86)90005-3openalex-snapshot
Non-linear stability analysis of aircraft at high angles of attack
inferred← citeshttps://doi.org/10.1016/0022-0396(81)90045-0openalex-snapshot
Classification and unfoldings of degenerate Hopf bifurcations
inferred← citeshttps://doi.org/10.1016/0022-0396(82)90013-4openalex-snapshot
Optimal orbital regulation in dynamical systems subject to Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/0022-0396(87)90120-3openalex-snapshot
Orbital stability for ordinary differential equations
inferred← citeshttps://doi.org/10.1016/0022-247x(76)90278-xopenalex-snapshot
An applicable Hopf bifurcation formula and instability of small periodic solutions of the field-Noyes model
inferred← citeshttps://doi.org/10.1016/0022-247x(79)90105-7openalex-snapshot
Bifurcation of periodic solutions
inferred← citeshttps://doi.org/10.1016/0022-247x(79)90195-1openalex-snapshot
Ljapunov approach to multiple Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/0022-247x(82)90205-0openalex-snapshot
On a certain class of semilinear Volterra diffusion equations
inferred← citeshttps://doi.org/10.1016/0022-5193(77)90018-2openalex-snapshot
Birfurcation theory applied to a simple model of a biochemical oscillator
inferred← citeshttps://doi.org/10.1016/0025-5564(75)90097-8openalex-snapshot
Bifurcation of periodic orbits in a chemical reaction problem
inferred← citeshttps://doi.org/10.1016/0025-5564(77)90140-7openalex-snapshot
Time delay in prey-predator models— II. Bifurcation theory
inferred← citeshttps://doi.org/10.1016/0040-5809(87)90037-2openalex-snapshot
Cycles in nonlinear age-structured models I. Renewal equations
inferred← citeshttps://doi.org/10.1016/0167-2789(81)90012-9openalex-snapshot
Applications of catastrophe theory to the physical sciences
inferred← citeshttps://doi.org/10.1016/0167-6911(86)90095-2openalex-snapshot
Local feedback stabilization and bifurcation control, I. Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/0167-6911(95)00074-7openalex-snapshot
Feedback stabilization of connected nonlinear oscillators with uncontrollable linearization
inferred← citeshttps://doi.org/10.1016/0300-9467(81)80008-1openalex-snapshot
Dynamics of the Continuous Stirred Tank Reactor with Reactions A → B → C
inferred← citeshttps://doi.org/10.1016/0300-9467(81)80056-1openalex-snapshot
Steady-state and dynamic behavior of fast gas—liquid reactions in non-adiabatic continuous stirred tank reactors
inferred← citeshttps://doi.org/10.1016/0304-3800(80)90013-7openalex-snapshot
Recurrence and non-stationary coexistence in two-species competition
inferred← citeshttps://doi.org/10.1016/0362-546x(80)90091-7openalex-snapshot
An abstract setting for the study of the Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/0362-546x(81)90030-4openalex-snapshot
Bifurcation formulas for O.D.E.'S in n
inferred← citeshttps://doi.org/10.1016/0898-1221(83)90060-3openalex-snapshot
Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics
inferred← citeshttps://doi.org/10.1016/0925-2312(95)00048-8openalex-snapshot
Models of hierarchical respiratory neuron networks
inferred← citeshttps://doi.org/10.1016/b978-0-08-027202-3.50107-3openalex-snapshot
ON THE NUMERICAL ANALYSIS OF DYNAMICAL SYSTEMS
inferred← citeshttps://doi.org/10.1016/b978-0-08-030254-6.50020-3openalex-snapshot
BIFURCATION OF TIME PERIODIC SOLUTIONS OF THE McKENDRICK EQUATIONS WITH APPLICATIONS TO POPULATION DYNAMICS††Research supported by National Science Foundation Grant No. MCS-7901307-01.
inferred← citeshttps://doi.org/10.1016/b978-0-12-543105-7.50008-7openalex-snapshot
The Dynamics of Feedback Control Circuits in Biochemical Pathways
inferred← citeshttps://doi.org/10.1016/b978-0-408-22164-1.50043-0openalex-snapshot
Non-linear analysis of fluid film bearing stability
inferred← citeshttps://doi.org/10.1016/b978-1-4832-8367-8.50099-1openalex-snapshot
THE DYNAMICAL BEHAVIOUR OF THE HARTLEN-CURRIE WAKE OSCILLATOR MODEL
inferred← citeshttps://doi.org/10.1016/j.amc.2009.03.026openalex-snapshot
Dynamical behavior of a virus dynamics model with CTL immune response
inferred← citeshttps://doi.org/10.1016/j.automatica.2018.01.035openalex-snapshot
Local and global analysis of endocrine regulation as a non-cyclic feedback system
inferred← citeshttps://doi.org/10.1016/j.camwa.2013.05.011openalex-snapshot
The role of space in stage-structured cannibalism with harvesting of an adult predator
inferred← citeshttps://doi.org/10.1016/j.ces.2015.06.012openalex-snapshot
Towards efficient and inherently safer continuous reactor alternatives to batch-wise processing of fine chemicals: CSTR nonlinear dynamics analysis of alkylpyridines N-oxidation
inferred← citeshttps://doi.org/10.1016/j.chaos.2007.01.147openalex-snapshot
Analysis of a viral disease model with saturated contact rate
inferred← citeshttps://doi.org/10.1016/j.cnsns.2016.06.001openalex-snapshot
Hopf bifurcation and chaos in a third-order phase-locked loop
inferred← citeshttps://doi.org/10.1016/j.ecocom.2015.09.002openalex-snapshot
Algae-herbivore interactions with Allee effect and chemical defense
inferred← citeshttps://doi.org/10.1016/j.jtbi.2005.05.019openalex-snapshot
Pest control through viral disease: Mathematical modeling and analysis
inferred← citeshttps://doi.org/10.1016/j.nahs.2009.06.005openalex-snapshot
The dynamics of an eco-epidemiological model with distributed delay
inferred← citeshttps://doi.org/10.1016/s0009-2614(00)00283-9openalex-snapshot
Non-equilibrium thermodynamics of a model bistable chemical system
inferred← citeshttps://doi.org/10.1016/s0096-3003(97)10087-xopenalex-snapshot
Global Hopf-bifurcation in a neural netlet
inferred← citeshttps://doi.org/10.1017/s0305004100054128openalex-snapshot
Harmonic balance and the Hopf bifurcation
inferred← citeshttps://doi.org/10.1017/s033427000000223xopenalex-snapshot
Limit cycles in two spacies competition with time delays
inferred← citeshttps://doi.org/10.1017/s0334270000004136openalex-snapshot
On the application of a numerical algorithm for Hopf bifuraction to the hunting of a wheelset
inferred← citeshttps://doi.org/10.1021/ie900072gopenalex-snapshot
An Algorithm for Stabilizing Unstable Steady States for Jacketed Nonisothermal Continually Stirred Tank Reactors
inferred← citeshttps://doi.org/10.1049/piee.1979.0144openalex-snapshot
Using characteristic loci in the Hopf bifurcation
inferred← citeshttps://doi.org/10.1063/1.3664740openalex-snapshot
Reversible Oregonator model revisited: Thermodynamic validity
inferred← citeshttps://doi.org/10.1063/1.459322openalex-snapshot
Limit cycles and discontinuous entropy production changes in the reversible Oregonator
inferred← citeshttps://doi.org/10.1063/1.478149openalex-snapshot
Hysteresis in entropy production in a model chemical reaction exhibiting subcritical Hopf bifurcation
inferred← citeshttps://doi.org/10.1080/00423118208968701openalex-snapshot
Flange Force Effects on the Motion of a Train Wheelset
inferred← citeshttps://doi.org/10.1080/00986448708960471openalex-snapshot
ANALYSIS OF FEEDBACK INDUCED HOPF BIFURCATIONS VIA THE CARLEMAN APPROXIMATION
inferred← citeshttps://doi.org/10.1080/02681119008806094openalex-snapshot
Degenerate bifurcations and catastrophe sets via frequency analysis
inferred← citeshttps://doi.org/10.1080/23737867.2016.1213146openalex-snapshot
Potential effects of invasive Pterois volitans in coral reefs
inferred← citeshttps://doi.org/10.1090/qam/478858openalex-snapshot
Hopf-Friedrichs bifurcation and the hunting of a railway axle
inferred← citeshttps://doi.org/10.1098/rspa.2017.0499openalex-snapshot
Parameter-robustness analysis for a biochemical oscillator model describing the social-behaviour transition phase of myxobacteria
inferred← citeshttps://doi.org/10.1103/physreva.29.2029openalex-snapshot
Symmetry-breaking instabilities under nonclassical bifurcation conditions
inferred← citeshttps://doi.org/10.1103/physreve.62.4862openalex-snapshot
Chapman-Enskog method and synchronization of globally coupled oscillators
inferred← citeshttps://doi.org/10.1109/9.277247openalex-snapshot
Computations of limit cycles via higher-order harmonic balance approximation
inferred← citeshttps://doi.org/10.1109/9.293195openalex-snapshot
Stabilization of oscillations by a nonnegative feedback control
inferred← citeshttps://doi.org/10.1109/9.73571openalex-snapshot
Computing bifurcation points via characteristics gain loci
inferred← citeshttps://doi.org/10.1109/iscas.1996.541525openalex-snapshot
On the birth of multiple limit cycles in nonlinear systems
inferred← citeshttps://doi.org/10.1109/rnns.1992.268648openalex-snapshot
The stability of the periodical activity of respiratory neuron network without periodic inputs
inferred← citeshttps://doi.org/10.1109/tac.1983.1103132openalex-snapshot
Hopf bifurcation via Volterra series
inferred← citeshttps://doi.org/10.1109/tcs.1979.1084636openalex-snapshot
The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
inferred← citeshttps://doi.org/10.1109/tcs.1983.1085398openalex-snapshot
A plain man's guide to bifurcations
inferred← citeshttps://doi.org/10.1109/tcs.1985.1085669openalex-snapshot
Singularly perturbed Hopf bifurcation
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1979.tb29500.xopenalex-snapshot
SOME APPLICABLE HOPF BIFURCATION FORMULAS AND AN APPLICATION IN WIND ENGINEERING
inferred← citeshttps://doi.org/10.1115/1.1898336openalex-snapshot
Numerical and Experimental Investigations on Flexible Multi-bearing Rotor Dynamics
inferred← citeshttps://doi.org/10.1137/0130060openalex-snapshot
On the Dynamical Behavior of the Two-Temperature Feedback Nuclear Reactor Model
inferred← citeshttps://doi.org/10.1137/0133045openalex-snapshot
Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics
inferred← citeshttps://doi.org/10.1137/0137003openalex-snapshot
Periodic and Steady-State Mode Interactions Lead to Tori
inferred← citeshttps://doi.org/10.1137/0142075openalex-snapshot
Bifurcating Periodic Solutions in Rotationally Symmetric Systems
inferred← citeshttps://doi.org/10.1142/s0218339019500189openalex-snapshot
EFFECT OF TIME DELAY IN A CANNIBALISTIC STAGE-STRUCTURED PREDATOR–PREY MODEL WITH HARVESTING OF AN ADULT PREDATOR: THE CASE OF LIONFISH
inferred← citeshttps://doi.org/10.1155/2013/653080openalex-snapshot
Oscillation in Pest Population and Its Management: A Mathematical Study
inferred← citeshttps://doi.org/10.1155/2014/810312openalex-snapshot
Mathematical Analysis of an Epidemic‐Species Hybrid Dynamical System
inferred← citeshttps://doi.org/10.1155/2019/7163732openalex-snapshot
Numerical Investigation into the Critical Speed and Frequency of the Hunting Motion in Railway Vehicle System
inferred← citeshttps://doi.org/10.1177/107754639500100403openalex-snapshot
Significance of Considering Nonlinear Effects in Predicting the Dynamic Behavior of Rotating Machinery
inferred← citeshttps://doi.org/10.11948/2015057openalex-snapshot
BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY
inferred← citeshttps://doi.org/10.14232/ejqtde.2012.1.44openalex-snapshot
Analysis of stability and Hopf bifurcation for an eco-epidemiological model with distributed delay
inferred← citeshttps://doi.org/10.14288/1.0344002openalex-snapshot
Identification of the fluid induced instability phenomenon in journal bearings
inferred← citeshttps://doi.org/10.1515/ijnsns.2007.8.1.21openalex-snapshot
Investigation on the Nonlinear Response of a Balanced Flexible Rotor-bearing System
inferred← citeshttps://doi.org/10.21136/am.2020.0338-19openalex-snapshot
Herbivore harvesting and alternative steady states in coral reefs
inferred← citeshttps://doi.org/10.31390/gradschool_dissertations.1243openalex-snapshot
On the stability of rotor bearing systems based on Hopf bifurcation theory
inferred← citeshttps://doi.org/10.32917/hmj/1206133754openalex-snapshot
The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology
inferred← citeshttps://doi.org/10.3934/math.20241179openalex-snapshot
Global stability of the interior equilibrium and the stability of Hopf bifurcating limit cycle in a model for crop pest control
inferred← citeshttps://doi.org/10.3934/mbe.2012.9.347openalex-snapshot
Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions
inferred← citeshttps://doi.org/10.4153/cmb-1977-016-xopenalex-snapshot
On a Bifurcation Theorem of Hopf and Friedrichs*
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.