Research graph
References from Influence of numerical discretization on chaos: a quantitative study of Lyapunov dynamics and bifurcation behavior. Local targets link to admitted publications; unresolved targets remain external evidence.
The life-span of backward error analysis for numerical integrators
10.1007/s002110050271 · 1997 · External reference
Perspective: computer simulations of long-time dynamics
10.1063/1.4940794 · 2016 · External reference
Quantifying chaos by various computational methods. Part 2: vibrations of the Bernoulli–Euler beam subjected to periodic and colored noise
10.3390/e20030170 · 2018 · External reference
Dynamics of a class of discrete-time neural networks and their continuous-time counterparts
10.1016/s0378-4754(00)00168-3 · 2000 · External reference
A non-iterative fully decoupled second-order projection method with staggered time discretization for Keller–Segel–Navier–Stokes system
10.1016/j.jcp.2025.114488 · 2026 · External reference
Applications of distributed-order fractional operators: a review
10.3390/e23010110 · 2021 · External reference
Numerical solutions of the generalized Kuramoto–Sivashinsky equation by Chebyshev spectral collocation methods
10.1016/j.camwa.2008.03.013 · 2008 · External reference
Emergent spatiotemporal complexity from reaction-diffusion hybridization: a new model for multicable pattern dynamics
10.1007/s11071-026-12479-8 · 2026 · External reference
Numerical integration techniques: a comprehensive review
10.38124/ijisrt/ijisrt24sep1327 · 2024 · External reference
Unresolved reference
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Chaos indicators for nonlinear dynamics in circular particle accelerators
10.1140/epjp/s13360-025-06552-1 · 2025 · External reference
Numerical simulation of the time-fractional DPL bioheat model with phase change using meshfree RBFs approach
10.1016/j.camwa.2026.03.003 · 2026 · External reference
Unresolved reference
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Comparing accuracy of differential equation results between Runge–Kutta Fehlberg methods and Adams–Moulton methods
10.12988/ams.2013.36314 · 2013 · External reference
A study on fractional SIS epidemic model using RPS method
10.1007/978-981-99-3080-7_22 · 2023 · External reference
FPGA realization of fractional-order chaotic oscillators using ABM and EFORK methods
10.1038/s41598-026-49712-8 · 2026 · External reference
A study on fractional mathematical model for cancer chemotherapy using the residual power series method
10.1080/10255842.2026.2664772 · 2026 · External reference
Dynamics of a discontinuous electromechanical system excited by the Van der Pol oscillator and its microcontroller implementation
10.1016/j.jmmm.2025.173087 · 2025 · External reference
Analyzing chaotic systems with multi-step methods: theory and simulations
10.1016/j.aej.2024.10.125 · 2025 · External reference
Dynamical behavior of chaos, bifurcation analysis and soliton solutions to a Konno-Onno model
10.1371/journal.pone.0291197 · 2023 · External reference
Numerical simulation of chaotic dynamical systems by the method of differential quadrature
10.1016/j.scient.2012.08.003 · 2012 · External reference
Efficient numerical techniques for investigating chaotic behavior in the fractional-order inverted R6ssler system
10.3390/sym17030451 · 2025 · External reference
Lyapunov exponents and extensivity of strongly coupled chaotic maps in regular graphs
10.1016/j.chaos.2023.114392 · 2024 · External reference
Numerical integration of ordinary differential equations based on trigonometric polynomials
10.1007/bf01386037 · 1961 · External reference
Measuring the strangeness of strange attractors
10.1016/0167-2789(83)90298-1 · 1983 · External reference
Deterministic nonperiodic flow
10.1175/1520-0469(1963)020<0130:dnf>2.0.co;2 · 1963 · External reference
Standing on the shoulders of Galileo, Newton, and Poincaré: a brief reasoned history of the chaotic dynamical systems and the people who shaped them
10.1142/s0218127425400024 · 2025 · External reference
Chaotic dynamics in spatially distributed neuronal networks generate population-wide shared variability
10.1371/journal.pcbi.1010843 · 2023 · External reference
Inducing multistability in discrete chaotic systems using numerical integration with variable symmetry
10.1016/j.chaos.2022.112794 · 2022 · External reference
On ghost attractor in blinking chaotic MVD memristor-based circuit and its application
10.1109/access.2021.3135519 · 2021 · External reference
Numerical investigation of chaos in nonlinear dynamical systems
10.33545/26648636.2025.v7.i2b.138 · 2025 · External reference
Simulation of fractional order chaotic oscillators applying the Grünwald-Letnikov definition and the Adams-Bashforth-Moulton method
10.1016/j.vlsi.2025.102366 · 2025 · External reference
Avoiding dynamical degradation in computer simulation of chaotic systems using semi-explicit integration: Rössler oscillator case
10.3390/fractalfract5040214 · 2021 · External reference
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential-algebraic equations
10.1016/j.amc.2025.129675 · 2026 · External reference
Chaos-based image encryption: review, application, and challenges
10.3390/math11112585 · 2023 · External reference
