On the public citation graph

Strange attractors in volterra equations for species in competition

0 signed · 84 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.
Claim with ORCID
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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/bf00307854openalex-snapshot
On the differential equations of species in competition
inferredcites →https://doi.org/10.1007/bf01209312openalex-snapshot
Possible new strange attractors with spiral structure
inferredcites →https://doi.org/10.1007/bf01608556openalex-snapshot
A two-dimensional mapping with a strange attractor
inferredcites →https://doi.org/10.1007/bf02684771openalex-snapshot
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
inferredcites →https://doi.org/10.1016/0375-9601(80)90342-4openalex-snapshot
Occurence of strange attractors in three-dimensional Volterra equations
inferredcites →https://doi.org/10.1070/sm1970v010n01abeh001588openalex-snapshot
A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
inferredcites →https://doi.org/10.1088/0305-4470/13/5/001openalex-snapshot
Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping
inferredcites →https://doi.org/10.1137/0136039openalex-snapshot
Asymptotic Behaviors in the Dynamics of Competing Species
inferredcites →https://doi.org/10.2307/2298330openalex-snapshot
Elements of Physical Biology.
inferredcites →https://doi.org/10.2307/2965538openalex-snapshot
Elements of Physical Biology

What points at this work

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

inferred← citeshttps://doi.org/10.1002/1099-1476(20000910)23:13<1179::aid-mma158>3.0.co;2-6openalex-snapshot
Stability of equilibria in a neural network model
inferred← citeshttps://doi.org/10.1006/jtbi.1999.0966openalex-snapshot
Allee Effect Increases the Dynamical Stability of Populations
inferred← citeshttps://doi.org/10.1007/3-540-12276-1_1openalex-snapshot
Prologue Some ideas about strange attractors
inferred← citeshttps://doi.org/10.1007/978-3-662-03418-7_8openalex-snapshot
References
inferred← citeshttps://doi.org/10.1007/bf00171693openalex-snapshot
Chaos in game dynamics
inferred← citeshttps://doi.org/10.1007/bf00178325openalex-snapshot
Perfect harmony: the discrete dynamics of cooperation
inferred← citeshttps://doi.org/10.1007/bf00275681openalex-snapshot
Effects of noise on some dynamical models in ecology
inferred← citeshttps://doi.org/10.1007/bf00275811openalex-snapshot
Hopf bifurcation and transition to chaos in Lotka-Volterra equation
inferred← citeshttps://doi.org/10.1007/bf00276088openalex-snapshot
Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species
inferred← citeshttps://doi.org/10.1007/bf00277734openalex-snapshot
Permanence of some ecological systems with several predator and one prey species
inferred← citeshttps://doi.org/10.1007/bf02458847openalex-snapshot
Explosive route to chaos through a fractal torus in a generalized Lotka-Volterra model
inferred← citeshttps://doi.org/10.1007/bf02459488openalex-snapshot
Autocatalytic networks with translation
inferred← citeshttps://doi.org/10.1007/bf02560595openalex-snapshot
Global analysis of a class of cooperative systems
inferred← citeshttps://doi.org/10.1007/bfb0091369openalex-snapshot
Rigorous solution to the extended kinetic equations for homogeneous gas mixtures
inferred← citeshttps://doi.org/10.1007/s10910-013-0275-zopenalex-snapshot
Solvable model for chemical oscillations
inferred← citeshttps://doi.org/10.1007/s11071-009-9547-3openalex-snapshot
Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka–Volterra system
inferred← citeshttps://doi.org/10.1016/0002-8703(90)90258-yopenalex-snapshot
Fascinating rhythm: A primer on chaos theory and its application to cardiology
inferred← citeshttps://doi.org/10.1016/0022-0396(85)90020-8openalex-snapshot
The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
inferred← citeshttps://doi.org/10.1016/0025-5564(85)90078-1openalex-snapshot
Persistence in a model of three competitive populations
inferred← citeshttps://doi.org/10.1016/0025-5564(93)90003-sopenalex-snapshot
Global behavior of n-dimensional lotka–volterra systems
inferred← citeshttps://doi.org/10.1016/0025-5564(93)90010-8openalex-snapshot
Chaos in a periodically forced predator-prey ecosystem model
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90052-bopenalex-snapshot
Full characterization of a strange attractor
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90278-9openalex-snapshot
Homoclinic chaos in chemical systems
inferred← citeshttps://doi.org/10.1016/0375-9601(87)90669-4openalex-snapshot
Experimental evidence for homoclinic chaos in the Belousov-Zhabotinskii reaction
inferred← citeshttps://doi.org/10.1016/0893-6080(89)90018-xopenalex-snapshot
Convergent activation dynamics in continuous time networks
inferred← citeshttps://doi.org/10.1016/j.aml.2026.109946openalex-snapshot
Predation-induced bifurcations and routes to chaos between two competing species
inferred← citeshttps://doi.org/10.1016/j.asoc.2020.106606openalex-snapshot
Parameter estimation of a generalized Lotka–Volterra system using a modified PSO algorithm
inferred← citeshttps://doi.org/10.1016/j.chaos.2005.08.036openalex-snapshot
Dynamic complexities in a periodically pulsed ratio-dependent predator–prey ecosystem modeled on a chemostat
inferred← citeshttps://doi.org/10.1016/j.chaos.2007.06.124openalex-snapshot
The dynamical behaviors of a food chain model with impulsive effect and Ivlev functional response
inferred← citeshttps://doi.org/10.1016/j.cnsns.2018.03.003openalex-snapshot
Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences
inferred← citeshttps://doi.org/10.1016/j.ecocom.2008.10.006openalex-snapshot
Period 7 in a line of trees
inferred← citeshttps://doi.org/10.1016/j.ecocom.2010.08.004openalex-snapshot
Probing chaos and biodiversity in a simple competition model
inferred← citeshttps://doi.org/10.1016/j.ecocom.2014.11.010openalex-snapshot
Numerical exploration of the parameter plane in a discrete predator–prey model
inferred← citeshttps://doi.org/10.1016/j.jtbi.2013.01.003openalex-snapshot
What can be learned from a chaotic cancer model?
inferred← citeshttps://doi.org/10.1016/j.mbs.2003.08.002openalex-snapshot
The dynamics of two viral infections in a single host population with applications to hantavirus
inferred← citeshttps://doi.org/10.1016/j.physd.2014.12.005openalex-snapshot
Data-driven non-Markovian closure models
inferred← citeshttps://doi.org/10.1016/j.physd.2022.133346openalex-snapshot
Persistent strange attractors in 3D polymatrix replicators
inferred← citeshttps://doi.org/10.1016/j.physleta.2004.03.079openalex-snapshot
Competition with evolution in ecology and finance
inferred← citeshttps://doi.org/10.1016/j.physleta.2009.10.035openalex-snapshot
Nonlinear adaptive synchronization rule for identification of a large amount of parameters in dynamical models
inferred← citeshttps://doi.org/10.1016/j.tpb.2024.12.003openalex-snapshot
Effect of competition on emergent phases and phase transitions in competitive systems
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00455-2openalex-snapshot
Influence of adaptation on the nonlinear dynamics of a system of competing populations
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)35211-4openalex-snapshot
On Global Stabilization of Lotka-Volterra Systems 1
inferred← citeshttps://doi.org/10.1023/a:1024404804748openalex-snapshot
Why plankton communities have no equilibrium: solutions to the paradox
inferred← citeshttps://doi.org/10.1038/s41467-023-43455-0openalex-snapshot
Autoencoder neural networks enable low dimensional structure analyses of microbial growth dynamics
inferred← citeshttps://doi.org/10.1051/mmnp/20127602openalex-snapshot
Multiplicative-noise Can Suppress Chaotic Oscillation in Lotka-Volterra Type Competitive Model
inferred← citeshttps://doi.org/10.1063/1.2031978openalex-snapshot
Basic structures of the Shilnikov homoclinic bifurcation scenario
inferred← citeshttps://doi.org/10.1063/5.0130029openalex-snapshot
Jewels from chaos: A fascinating journey from abstract forms to physical objects
inferred← citeshttps://doi.org/10.1080/02681119308806158openalex-snapshot
Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
inferred← citeshttps://doi.org/10.1086/psaprocbienmeetp.1992.2.192851openalex-snapshot
Chaos and the Explanatory Significance of Equilibrium: Strange Attractors in Evolutionary Game Dynamics
inferred← citeshttps://doi.org/10.1088/0951-7715/1/1/003openalex-snapshot
Systems of differential equations which are competitive or cooperative: III. Competing species
inferred← citeshttps://doi.org/10.1088/0951-7715/19/10/006openalex-snapshot
Chaos in low-dimensional Lotka–Volterra models of competition
inferred← citeshttps://doi.org/10.1088/0951-7715/26/8/2299openalex-snapshot
On chaos in Lotka–Volterra systems: an analytical approach
inferred← citeshttps://doi.org/10.1103/physreve.111.014309openalex-snapshot
Modification speed alters stability of ecological higher-order interaction networks
inferred← citeshttps://doi.org/10.1134/s0965542521010024openalex-snapshot
Analytical Investigation of the Chaotic Dynamics of a Two-Dimensional Lotka–Volterra System with a Seasonality Factor
inferred← citeshttps://doi.org/10.1134/s1560354715060064openalex-snapshot
Sequential dynamics in the motif of excitatory coupled elements
inferred← citeshttps://doi.org/10.1137/0147031openalex-snapshot
Bifurcations and Transitions to Chaos in the Three-Dimensional Lotka–Volterra Map
inferred← citeshttps://doi.org/10.1137/110825911openalex-snapshot
Period Doubling Cascades in a Predator-Prey Model with a Scavenger
inferred← citeshttps://doi.org/10.1137/25m1783163openalex-snapshot
The \({n}\)-Dimensional General Lotka–Volterra System with No Periodic Orbits
inferred← citeshttps://doi.org/10.1140/epjp/i2019-12603-5openalex-snapshot
Interplay of sources of stochastic noise in a resource-based model
inferred← citeshttps://doi.org/10.1142/s0218127403006595openalex-snapshot
SYMMETRY BREAKING EFFECTS ON EQUILIBRIA AND TIME DEPENDENT REGIMES IN ADAPTIVE LOTKA–VOLTERRA SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127421502011openalex-snapshot
Planar Kolmogorov Systems Coming from Spatial Lotka–Volterra Systems
inferred← citeshttps://doi.org/10.1556/select.2.2001.1-2.13openalex-snapshot
Is Chaos Due to Over-simplification in Models of Population Dynamics?
inferred← citeshttps://doi.org/10.18384/2310-7251-2017-3-23-33openalex-snapshot
ANALYSIS OF STABILITY OF A FOUR-DIMENSIONAL MODEL OF TRANS-SPECIES COMPETITION BY LYAPUNOV’S FIRST METHOD
inferred← citeshttps://doi.org/10.1890/0012-9658(2001)082[2682:bcfoac]2.0.co;2openalex-snapshot
BIOLOGICAL CONDITIONS FOR OSCILLATIONS AND CHAOS GENERATED BY MULTISPECIES COMPETITION
inferred← citeshttps://doi.org/10.2307/1941309openalex-snapshot
Order and Chaos in Ecological Systems
inferred← citeshttps://doi.org/10.2307/2389820openalex-snapshot
The Models of Berendse and Tilman: Two Different Perspectives on Plant Competition?
inferred← citeshttps://doi.org/10.3389/fgene.2021.766372openalex-snapshot
A Holling Functional Response Model for Mapping QTLs Governing Interspecific Interactions
inferred← citeshttps://doi.org/10.3389/fnsys.2014.00220openalex-snapshot
Robust sequential working memory recall in heterogeneous cognitive networks
inferred← citeshttps://doi.org/10.3390/dynamics6010001openalex-snapshot
Analog Circuit Simplification of a Chaotic Hopfield Neural Network Based on the Shil’nikov’s Theorem
inferred← citeshttps://doi.org/10.3390/e27080798openalex-snapshot
On Considering Unoccupied Sites in Ecological Models
inferred← citeshttps://doi.org/10.3390/fractalfract10060376openalex-snapshot
Order Modulation for Chaos Control and Hybrid Synchronization in a Variable-Order Fractional Arneodo System: Spectral Stability and Numerical Validation
inferred← citeshttps://doi.org/10.3934/mbe.2005.2.25openalex-snapshot
On Predator-Prey Systems and Small-Gain Theorems
inferred← citeshttps://doi.org/10.5352/jls.2015.25.5.601openalex-snapshot
The Paradox of the Plankton
inferred← citeshttps://doi.org/10.7566/jpsj.94.065002openalex-snapshot
Hierarchical Structure in Lotka–Volterra Equations on Binary Tree Networks
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.