Found 556 Documents (Results 1–100)
Dynamical behaviors of a discrete two-dimensional competitive system exactly driven by the large centre. (English) Zbl 07924348
Global structure of positive solutions for first-order discrete periodic boundary value problems with indefinite weight. (English) Zbl 07922832
Border-collision bifurcation in the logistic map with state-dependent impulsive forces. (English) Zbl 07920718
Reviewer: Haydar Akca (Abu Dhabi)
Bifurcation and chaos in a fractional-order Cournot duopoly game model on scale-free networks. (English) Zbl 07916730
Nonsmooth pitchfork bifurcations in a quasi-periodically forced piecewise-linear map. (English) Zbl 07916709
Bifurcation and hybrid control in a discrete predator-prey model with Holling type-IV functional response. (English) Zbl 07915702
MSC:
39A28
A generalization for ultradiscrete limit cycles in a certain type of max-plus dynamical systems. (English) Zbl 07906070
Theoretical and numerical bifurcation analysis of a discrete predator-prey system of Ricker type with weak Allee effect. (English) Zbl 07902967
Bifurcation and stability analysis of a discrete predator-prey model with alternative prey. (English) Zbl 07888026
Theoretical and numerical bifurcation analysis of a predator-prey system with ratio-dependence. (English) Zbl 07886706
Developing a continuous SIR epidemic model and its discrete version using Euler method: analyzing dynamics with analytical and numerical methods. (English) Zbl 07883085
A discrete-time modified Leslie-Gower model with double Allee effect and its stability and bifurcation analysis. (English) Zbl 07870951
Nonlinear dynamics of a three-dimensional discrete-time delay neural network. (English) Zbl 07870177
The behavior of a host-parasitoid model with host logistic growth and proportional refuge. (English) Zbl 07862249
Reviewer: Shangjiang Guo (Changsha)
Food-limited plant-herbivore model: bifurcations, persistence, and stability. (English) Zbl 1541.39016
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. (English) Zbl 07853281
Fixed points stability, bifurcation analysis, and chaos control of a Lotka-Volterra model with two predators and their prey. (English) Zbl 1541.39015
Bifurcations, chaos analysis and control in a discrete predator-prey model with mixed functional responses. (English) Zbl 1541.39017
Functional shift-induced degenerate transcritical Neimark-Sacker bifurcation in a discrete hypercycle. (English) Zbl 07848343
On-off intermittency and long-term reactivity in a host-parasitoid model with a deterministic driver. (English) Zbl 1539.92094
From 1D endomorphism to multidimensional Hénon map: persistence of bifurcation structure. (English) Zbl 07848320
Mathematical and computational modeling of phenomena arising in population biology and nonlinear oscillations. (English) Zbl 1537.92001
Contemporary Mathematics 793. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7104-0/pbk; 978-1-4704-7606-9/ebook). xiii, 342 p. (2024).
Bifurcation analysis in a discrete toxin-producing phytoplankton-zooplankton model with refuge. (English) Zbl 1536.39004
Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems. (English) Zbl 1536.39007
\(n\)-dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin. (English) Zbl 1540.37041
Connecting anti-integrability to attractors for three-dimensional quadratic diffeomorphisms. (English) Zbl 1539.37027
Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors. (English) Zbl 1539.37054
Reviewer: Valery A. Gaiko (Minsk)
Codimension-two bifurcations of a two-dimensional discrete time Lotka-Volterra predator-prey model. (English) Zbl 1537.39010
Reviewer: Wan-Tong Li (Lanzhou)
Nonlinear dynamics and chaos. With applications to physics, biology, chemistry, and engineering. 3rd edition. (English) Zbl 07799246
Boca Raton, FL: CRC Press (ISBN 978-1-032-70789-1/hbk; 978-0-367-02650-9/pbk). (2024).
Bifurcation patterns in a discrete predator-prey model incorporating ratio-dependent functional response and prey harvesting. (English) Zbl 1533.39009
Dynamics of a plant-herbivore system with ricker plant growth and the strong Allee effects on plant population. (English) Zbl 1531.39007
Understanding cannibalism dynamics in predator-prey interactions: bifurcations and chaos control strategies. (English) Zbl 1530.39011
Exploring dynamics of plant-herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response. (English) Zbl 1530.92192
Dynamics of predator-prey model based on fear effect with bifurcation analysis and chaos control. (English) Zbl 1537.92080
Dynamical Analysis Of Fractional Order Generalized Logistic Map. arXiv:2409.07174
Preprint, arXiv:2409.07174 [math.DS] (2024).
The two-dimensional border-collision normal form with a zero determinant. arXiv:2408.04790
Preprint, arXiv:2408.04790 [math.DS] (2024).
Extended normal forms for one-dimensional border-collision bifurcations. arXiv:2407.16865
Preprint, arXiv:2407.16865 [math.DS] (2024).
Chaos, periodic structures, and multistability: complex dynamical behaviors of an eco-epidemiological model in parameter planes. (English) Zbl 1537.92079
Dynamic behaviors in a discrete model for predator-prey interactions involving hibernating vertebrates. (English) Zbl 1540.39023
Dynamics of a plant-herbivore model subject to Allee effects with logistic growth of plant biomass. (English) Zbl 1539.92086
Asymptotic stability, bifurcation analysis and chaos control in a discrete evolutionary Ricker population model with immigration. (English) Zbl 1540.39025
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 363-403 (2023).
Global dynamics of modified discrete Lotka-Volterra model. (English) Zbl 1540.37110
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 309-338 (2023).
SageMath tools for stability and bifurcation for discrete dynamical systems. (English) Zbl 1540.39002
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 283-297 (2023).
Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function. (English) Zbl 1540.39024
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 233-281 (2023).
Border collision and heteroclinic bifurcations in a 2D piecewise smooth map. (English) Zbl 1540.39013
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 61-73 (2023).
On dynamical connection between continuous and tropical discretized dynamical systems in one-dimensional. (English) Zbl 1539.39013
Global structure of positive solutions for second order discrete periodic boundary value problem with indefinite weight. (English) Zbl 1530.39007
Study of co-dimension two bifurcation of a prey-predator model with prey refuge and non-linear harvesting on both species. (English) Zbl 1529.39013
Stability, bifurcation analysis, and chaos control of a discrete bioeconomic model. (English) Zbl 1533.37183
Bifurcation analysis of a two-dimensional discrete-time predator-prey model. (English) Zbl 1529.39012
Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions. (English) Zbl 1533.39011
The behavior of a class host-parasitoid models with host refuge and strong Allee effect upon the host population. (English) Zbl 1530.92178
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions. (English) Zbl 1528.39008
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics. (English) Zbl 1529.39018
Reviewer: Christian Pötzsche (Klagenfurt)
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps. (English) Zbl 1532.37048
Border collision bifurcations in a piecewise linear duopoly model. (English) Zbl 1535.37051
Reviewer: Antonio Linero Bas (Murcia)
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps. (English) Zbl 1532.37043
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics. (English) Zbl 1532.37044
Dynamics of the discrete-time Rosenzweig-MacArthur predator-prey system in the closed positively invariant set. (English) Zbl 1538.39021
Complex patterns in a space-time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion. (English) Zbl 1542.37075
Chaotic dynamics of the fractional order Schnakenberg model and its control. (English) Zbl 1527.37100
Multistability and stochastic dynamics of Rulkov neurons coupled via a chemical synapse. (English) Zbl 1527.92014
Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps. (English) Zbl 1517.39007
Complicate bifurcation behaviors of a discrete predator-prey model with group defense and nonlinear harvesting in prey. (English) Zbl 1521.39013
Allee effect in a Ricker type discrete-time predator-prey model with Holling type-II functional response. (English) Zbl 1519.92192
Analytical bifurcation and strong resonances of a discrete Bazykin-Berezovskaya predator-prey model with Allee effect. (English) Zbl 1522.37093
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates. (English) Zbl 1523.37100
Complex dynamics and bifurcation analysis for a Beverton-Holt population model with Allee effect. (English) Zbl 1519.39010
Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals. (English) Zbl 1518.39005
Codimension one and codimension two bifurcations in a discrete Kolmogorov type predator-prey model. (English) Zbl 1519.92224
Nonautonomous fold bifurcations from spectral intervals of higher strict multiplicity. (English) Zbl 1522.39012
Modelling discrete time fractional Rucklidge system with complex state variables and its synchronization. (English) Zbl 07704196
Dynamical complexities in a discrete-time predator-prey system as consequences of the weak Allee effect on prey. (English) Zbl 1524.39031
Analytical bifurcation behaviors of a host-parasitoid model with Holling type III functional response. (English) Zbl 1519.92223
Dynamical analysis and encryption key-distribution application of new q-deformed reduced Lorenz system. (English) Zbl 1516.39002
Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity. (English) Zbl 1512.35518
Strong resonance bifurcations and state feedback control in a discrete prey-predator model with harvesting effect. (English) Zbl 1518.39006
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